Sharifah E.Alhazmi | Umm Al-Qura University, Makkah, Saudi Arabia (original) (raw)
Papers by Sharifah E.Alhazmi
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
The primary goal of this article is to explore the radiative stagnation point flow of nanofluid w... more The primary goal of this article is to explore the radiative stagnation point flow of nanofluid with crossdiffusion and entropy generation across a permeable curved surface. Moreover, the activation energy, Joule heating, slip condition, and viscous dissipation effects have been considered in order to achieve realistic results. The governing equations associated with the modeling of this research have been transformed into ordinary differential equations by utilizing appropriate transformation variable. The resulting system of equations was solved numerically by using Bvp4c built-in package in MATLAB. The impact of involved parameters have been graphically examined for the diverse features of velocity, temperature, and concentration profiles. Throughout the analysis, the volume fraction is assumed to be less than 5% while the Prandtl number is set to be 6. In addition, the entropy generation, friction drag, Nusselt, and Sherwood numbers have been plotted for describing the diverse physical aspects of the underlying phenomena. The major outcomes reveal that the curvature parameter reduces the velocity profile and skin friction coefficient whereas the magnetic parameter, temperature difference parameter, and radiation parameter intensify the entropy generation.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
The proposed study demonstrates the flow phenomenon and thermo-variation of a magnetized stretchi... more The proposed study demonstrates the flow phenomenon and thermo-variation of a magnetized stretching sheet induced-radiative nanofluid flow. By incorporating the response surface methodology, the heat transfer rate of the thermally convective flow of nanofluid is optimized. The graphene nanomaterial is used in the water-based nanofluid. A dynamic magnetic field, thermal radiation, and the Cattaneo-Christov heat flux model have used to represent the thermal behavior of the nanofluid. The simulation utilizes experimentally estimated values for the nanomaterial's thermal conductivity and viscosity. To further reveal the thermal enhancement of the flow, the impact of nanoparticle diameter and the solid-liquid interfacial layer is proposed at the molecular level. The response surface methodology and the sensitivity analysis has used to examine the effects of the nanoparticle volume fraction, Biot number, and magnetic parameter on the rate of heat transfer statistically. A set of equations is formed from the governing partial differential equations by implementing suitable similarity transformations. The bvp4c approach is used to solve the problem numerically. The effect of various parameters has displayed through tables, graphs, and surface plots on heat transfer, mass transfer, and the local Nusselt number. It is discovered that as the Biot number increases, so does the concentration and temperature profile. An excellent accord between the present and previously existing solutions is establishing the validity of the achieved results.
Incorporation of momentum gradients produced due to inertial motion of the lid along with the pre... more Incorporation of momentum gradients produced due to inertial motion of the lid along with the presence of temperature differences in the configuration make the physical problem more significant. The joint variation of momentum and thermal diffusion in diversified natural liquids is recognized as mixed convection. Valuable attention has been received by such a phenomenon in different areas of science and technology such as in wind current-based solar receivers, electronic instruments, control of emergency shutdown in reactors, thermal exchangers, oceanic currents, control of atmospheric pollution, and so on. So, the main focus is to contemplate hydrothermal characteristics of a power-law fluid contained in a square cavity with the movement of the upper lid and being thermally adiabatic. The other extremities are considered to be at rest, and the base wall is prescribed with uniform/nonuniform temperature distributions. The governing formulation of the problem is handled by executing a finite element approach. Hybrid meshing is performed for domain discretization, and weak variational formulation is utilized for formulation discretization. Second-degree polynomials are employed as the interpolation function, providing information about velocity and temperature distributions at boundary and intermediate nodes. The system of finalized non-linear equations is resolved by using the Paradiso software. The results for velocity and temperature distributions are attained comparatively for uniformly and non-uniformly heated profiles. The kinetic energy and average Nusselt number are also computed against flow concerning variables. From the attained graphical and tabular data, it is deduced that by increasing the Reynolds number, inertial forces dominate over buoyancy forces and the effect of lid movement is prominent on flow characteristics. It is also inferred that for the shear thickening case and for all values of the Reynolds number, the average Nusselt number shows a constant behavior.
In this research work, the two-dimensional (2D), incompressible fluid flow has been taken into co... more In this research work, the two-dimensional (2D), incompressible fluid flow has been taken into consideration. The flow is supposed to be steady and laminar. By considering the
In this article, we presents the theoretical and numerical study of the four dimensional chaotic ... more In this article, we presents the theoretical and numerical study of the four dimensional chaotic system which has no equilibrium point in the sense of fractal-fractional Mittag-Leffler kernel. By using the approach of fixed point theory, the existence and uniqueness of solution for the considered model is studied. The approximate solution is acquired by applying the technique of fractional Newton's polynomial interpolation. The numerical simulations of the approximate results are presented for different fractal dimension and fractional orders. From the figures we obtained the butterfly-type attractor by using different values of fractal dimension which shows symmetric form. Furthermore, fractal and fractional operators show significant impacts on the dynamics of the non-linear chaotic systems.
The present computational model is built to analyze the energy and mass transition rate through a... more The present computational model is built to analyze the energy and mass transition rate through a copper and cobalt ferrite water-based hybrid nanofluid (hnf) flow caused by the fluctuating wavy spinning disk. Cobalt ferrite (CoFe2O4) and copper (Cu) nanoparticles (nps) are incredibly renowned in engineering and technological research due to their vast potential applications in nano/microscale structures, devices, materials, and systems related to micro-and nanotechnology. The flow mechanism has been formulated in the form of a nonlinear set of PDEs. That set of PDEs has been further reduced to the system of ODEs through resemblance replacements and computationally solved through the parametric continuation method. The outcomes are verified with the Matlab program bvp4c, for accuracy purposes. The statistical outputs and graphical evaluation of physical factors versus velocity, energy, and mass outlines are given through tables and figures. The configuration of a circulating disk affects the energy transformation and velocity distribution desirably. In comparison to a uniform interface, the uneven spinning surface augments energy communication by up to 15%. The addition of nanostructured materials (cobalt ferrite and copper) dramatically improves the solvent physiochemical characteristics. Furthermore, the upward and downward oscillation of the rotating disc also enhances the velocity and energy distribution.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Frontiers in Energy Research
The study of fluid dynamics due to the stretching surface is one of the most eminent topics due t... more The study of fluid dynamics due to the stretching surface is one of the most eminent topics due to its potential industrial applications viz. drawing wire and plastic films, metal and polymer extrusion, fiber and glass production. In the present article, the author is going to study the effects of hybrid nanofluids flow on an inclined plate including CuO (Copper Oxide), and Cu (Copper). The Casson fluid with a couple-stress term has been used in the flow analysis. The surface of the plate is considered slippery. The convection has been taken nonlinear with thermal radiation. The governing equation of the flow of hybrid nanofluids with energy equation has been transformed into highly nonlinear ODEs through similarity transformation. The proposed model has been solved through a numerical RK-4 method. Significant variables of the physical process such as solar radiation, nonlinear convection parameters, heat transfer rates, and their effect on the solar power plant have been noticed.
Frontiers in Energy Research
The objective of this research is to evaluate the heat and mass transfer in a water-based Darcy–F... more The objective of this research is to evaluate the heat and mass transfer in a water-based Darcy–Forchheimer hybrid nanofluid (HNF) flow across an expanding cylinder. The fluid flow has been studied under the influence of a magnetic field, viscous dissipation, heat source, thermal radiation, concentration stratification, and chemical reaction. Carbon nanotubes (CNTs) and iron ferrite (Fe3O4) nanoparticles (NPs) are added to the water, for the purpose of synthesizing the HNF. The fluid flow has been induced in the presence of gyrotactic microorganisms and the non-Fick’s model. Microorganisms are used to stabilize scattered nanoparticles through the hybrid nanofluid. The phenomena have been modeled in the form of a nonlinear system of partial differential equations (PDEs). The modeled equations are reduced to a dimensionless system of ODEs by using similarity substitution. The numerical solution of the derived sets of nonlinear differential equations is obtained by using the parametric...
Scientific Reports
Using a thermally stratified water-based nanofluid and a permeable stretching sheet as a simulati... more Using a thermally stratified water-based nanofluid and a permeable stretching sheet as a simulation environment, this research examines the impact of nanoparticle aggregation on MHD mixed convective stagnation point flow. Nanoparticle aggregation is studied using two modified models: the Krieger–Dougherty and the Maxwell–Bruggeman. The present problem's governing equations were transformed into a solvable mathematical model utilizing legitimate similarity transformations, and numerical solutions were then achieved using shooting with Runge–Kutta Fehlberg (RKF) technique in Mathematica. Equilibrium point flow toward permeable stretching surface is important for the extrusion process because it produces required heat and mass transfer patterns and identifies and clarifies fragmented flow phenomena using diagrams. Nanoparticle volume fraction was shown to have an impact on the solutions' existence range, as well. Alumina and copper nanofluids have better heat transfer propertie...
International Journal of Modern Physics B
Practical Applications: Numerous technical applications, including as polymer deposition, electro... more Practical Applications: Numerous technical applications, including as polymer deposition, electrolysis control, medication delivery, spin-stabilized missile cooling and cooling of rotating machinery slices have sparked considerable interest in studying stagnation point flow. Nuclear power plants, photovoltaic panels and heat exchangers as well as microfluidic heating devices use them. Purpose: To better understand the unsteady [Formula: see text]–[Formula: see text]–[Formula: see text] ternary hybrid nanofluid stream at the stagnation zone with Joule heating, this research examines the unique prospective applicative properties. Methodology: The flow equations will be modeled. By using similarity transformation, it is possible to transform nonlinear partial differential equations (PDEs) that are not precisely solvable into ordinary differential equations (ODEs) that can be numerically resolved. Runge–Kutta-IV and the shooting technique in MATHEMATICA have been demonstrated to have a ...
Open Physics
Since obtaining an analytic solution to some mathematical and physical problems is often very dif... more Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods. In science and engineering, systems of integral differential equations and their solutions are extremely important. The Taylor collocation method is described as a matrix approach for solving numerically Linear Differential Equations (LDE) by using truncated Taylor series. Integral equations are used to solve problems such as radiative transmission and the oscillation of a string, membrane, or axle. Differential equations can be used to tackle oscillating difficulties. To discover approximate solutions for linear systems of integral differential equations with variable coefficients in terms of Taylor polynomials, the collocation approach, which is offered for differential and integral equation solutions, will be developed. A system of LDE will be translated into matrix equatio...
International Journal of Modern Physics B
For practical purposes, the study of ternary hybrid nanofluid flows near stretching/shrinking sur... more For practical purposes, the study of ternary hybrid nanofluid flows near stretching/shrinking surfaces, including heat generation/absorption and velocity slip, has enormous value. It is crucial to understand how fluid mechanics deals with stagnation point flow, which is a common phenomenon in both engineering and scientific domains. In the evaporation process, the polymer enterprises, and the aircraft counter jet, the stagnation point flow may be found. An unsteady stagnation point flow is used to explore a ternary hybrid nanofluid (Cu–TiO2–Al2O3/polymer) in relation to a convectively heated stretching/shrinking sheet. This research also considers the velocity slip condition in addition to the traditional surface under no-slip conditions. The differential equations and their partial derivatives are changed to ordinary differential equations by applying approved similarity transformations. The MATHEMATICA operating system employs the Shooting with Runge–Kutta-IV process to explain th...
International Journal of Modern Physics B
The flow of air containing small particles past a pointed area of an aircraft, bullet and bonnet ... more The flow of air containing small particles past a pointed area of an aircraft, bullet and bonnet of vehicles exhibits the flow over paraboloid surface of revolution. Therefore, the study of Al2O3-H2O nanofluid over upper paraboloid horizontal surface of revolution (UPHSR) is organized. The concerned model develops via thermal conductivity dealing with the particles shape factor and similarity transforms. Afterward, numerical analysis is performed and the influences of pertinent parameters on the velocity and temperature [Formula: see text] in Al2O3-H2O are examined. The deep inspection of the results in the view of physics behind them revealed that Al2O3-H2O drops for the stringer magnetic field. Further, nonlinear thermal radiations and internal heat generation made Al2O3-H2O a better heat conductor which increased its applications in a broad zone.
Fractal and Fractional
The fractional mobile/immobile solute transport model has applications in a wide range of phenome... more The fractional mobile/immobile solute transport model has applications in a wide range of phenomena such as ocean acoustic propagation and heat diffusion. The local radial basis functions (RBFs) method have been applied to many physical and engineering problems because of its simplicity in implementation and its superiority in solving different real-world problems easily. In this article, we propose an efficient local RBFs method coupled with Laplace transform (LT) for approximating the solution of fractional mobile/immobile solute transport model in the sense of Caputo derivative. In our method, first, we employ the LT which reduces the problem to an equivalent time-independent problem. The solution of the transformed problem is then approximated via the local RBF method based on multiquadric kernels. Afterward, the desired solution is represented as a contour integral in the left half complex along a smooth curve. The contour integral is then approximated via the midpoint rule. Th...
AIMS Mathematics
Cryptocurrency is a digital currency and also exists in the form of coins. It has turned out as a... more Cryptocurrency is a digital currency and also exists in the form of coins. It has turned out as a leading method for peer-to-peer online cash systems. Due to the importance and increasing influence of Bitcoin on business and other related sectors, it is very crucial to model or predict its behavior. Therefore, in recent, numerous researchers have attempted to understand and model the behaviors of cryptocurrency exchange rates. In the practice of actuarial and financial studies, heavy-tailed distributions play a fruitful role in modeling and describing the log returns of financial phenomena. In this paper, we propose a new family of distributions that possess heavy-tailed characteristics. Based on the proposed approach, a modified version of the logistic distribution, namely, a new modified exponential-logistic distribution is introduced. To illustrate the new modified exponential-logistic model, two financial data sets are analyzed. The first data set represents the log-returns of t...
International Journal of Modern Physics B
The progress in new inventions in the modern technological world demands outstanding heat transpo... more The progress in new inventions in the modern technological world demands outstanding heat transport. Unfortunately, common solvents are unable to produce such desired amount of heat which compelled the scientists and researchers towards the development of new heat transfer fluids (Nanofluids). Therefore, the study of C8H[Formula: see text] with hybridization of [(MnZnFe2O4–NiZnFe2O[Formula: see text]][Formula: see text] under novel effects of thermal radiations and convective heat conditions over a slippery permeable surface is organized. The modified thermophysical correlations for hybrid nanofluids were used and successfully achieved the modified heat transfer model. After numerical investigation, the results were plotted under varying parameters and provided for comprehensive discussion. The results revealed faster fluid motion and [Formula: see text] is dominant. The velocities drop significantly due to the permeability of the surface. Further, thermal radiations potentially boo...
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
The primary goal of this article is to explore the radiative stagnation point flow of nanofluid w... more The primary goal of this article is to explore the radiative stagnation point flow of nanofluid with crossdiffusion and entropy generation across a permeable curved surface. Moreover, the activation energy, Joule heating, slip condition, and viscous dissipation effects have been considered in order to achieve realistic results. The governing equations associated with the modeling of this research have been transformed into ordinary differential equations by utilizing appropriate transformation variable. The resulting system of equations was solved numerically by using Bvp4c built-in package in MATLAB. The impact of involved parameters have been graphically examined for the diverse features of velocity, temperature, and concentration profiles. Throughout the analysis, the volume fraction is assumed to be less than 5% while the Prandtl number is set to be 6. In addition, the entropy generation, friction drag, Nusselt, and Sherwood numbers have been plotted for describing the diverse physical aspects of the underlying phenomena. The major outcomes reveal that the curvature parameter reduces the velocity profile and skin friction coefficient whereas the magnetic parameter, temperature difference parameter, and radiation parameter intensify the entropy generation.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
The proposed study demonstrates the flow phenomenon and thermo-variation of a magnetized stretchi... more The proposed study demonstrates the flow phenomenon and thermo-variation of a magnetized stretching sheet induced-radiative nanofluid flow. By incorporating the response surface methodology, the heat transfer rate of the thermally convective flow of nanofluid is optimized. The graphene nanomaterial is used in the water-based nanofluid. A dynamic magnetic field, thermal radiation, and the Cattaneo-Christov heat flux model have used to represent the thermal behavior of the nanofluid. The simulation utilizes experimentally estimated values for the nanomaterial's thermal conductivity and viscosity. To further reveal the thermal enhancement of the flow, the impact of nanoparticle diameter and the solid-liquid interfacial layer is proposed at the molecular level. The response surface methodology and the sensitivity analysis has used to examine the effects of the nanoparticle volume fraction, Biot number, and magnetic parameter on the rate of heat transfer statistically. A set of equations is formed from the governing partial differential equations by implementing suitable similarity transformations. The bvp4c approach is used to solve the problem numerically. The effect of various parameters has displayed through tables, graphs, and surface plots on heat transfer, mass transfer, and the local Nusselt number. It is discovered that as the Biot number increases, so does the concentration and temperature profile. An excellent accord between the present and previously existing solutions is establishing the validity of the achieved results.
Incorporation of momentum gradients produced due to inertial motion of the lid along with the pre... more Incorporation of momentum gradients produced due to inertial motion of the lid along with the presence of temperature differences in the configuration make the physical problem more significant. The joint variation of momentum and thermal diffusion in diversified natural liquids is recognized as mixed convection. Valuable attention has been received by such a phenomenon in different areas of science and technology such as in wind current-based solar receivers, electronic instruments, control of emergency shutdown in reactors, thermal exchangers, oceanic currents, control of atmospheric pollution, and so on. So, the main focus is to contemplate hydrothermal characteristics of a power-law fluid contained in a square cavity with the movement of the upper lid and being thermally adiabatic. The other extremities are considered to be at rest, and the base wall is prescribed with uniform/nonuniform temperature distributions. The governing formulation of the problem is handled by executing a finite element approach. Hybrid meshing is performed for domain discretization, and weak variational formulation is utilized for formulation discretization. Second-degree polynomials are employed as the interpolation function, providing information about velocity and temperature distributions at boundary and intermediate nodes. The system of finalized non-linear equations is resolved by using the Paradiso software. The results for velocity and temperature distributions are attained comparatively for uniformly and non-uniformly heated profiles. The kinetic energy and average Nusselt number are also computed against flow concerning variables. From the attained graphical and tabular data, it is deduced that by increasing the Reynolds number, inertial forces dominate over buoyancy forces and the effect of lid movement is prominent on flow characteristics. It is also inferred that for the shear thickening case and for all values of the Reynolds number, the average Nusselt number shows a constant behavior.
In this research work, the two-dimensional (2D), incompressible fluid flow has been taken into co... more In this research work, the two-dimensional (2D), incompressible fluid flow has been taken into consideration. The flow is supposed to be steady and laminar. By considering the
In this article, we presents the theoretical and numerical study of the four dimensional chaotic ... more In this article, we presents the theoretical and numerical study of the four dimensional chaotic system which has no equilibrium point in the sense of fractal-fractional Mittag-Leffler kernel. By using the approach of fixed point theory, the existence and uniqueness of solution for the considered model is studied. The approximate solution is acquired by applying the technique of fractional Newton's polynomial interpolation. The numerical simulations of the approximate results are presented for different fractal dimension and fractional orders. From the figures we obtained the butterfly-type attractor by using different values of fractal dimension which shows symmetric form. Furthermore, fractal and fractional operators show significant impacts on the dynamics of the non-linear chaotic systems.
The present computational model is built to analyze the energy and mass transition rate through a... more The present computational model is built to analyze the energy and mass transition rate through a copper and cobalt ferrite water-based hybrid nanofluid (hnf) flow caused by the fluctuating wavy spinning disk. Cobalt ferrite (CoFe2O4) and copper (Cu) nanoparticles (nps) are incredibly renowned in engineering and technological research due to their vast potential applications in nano/microscale structures, devices, materials, and systems related to micro-and nanotechnology. The flow mechanism has been formulated in the form of a nonlinear set of PDEs. That set of PDEs has been further reduced to the system of ODEs through resemblance replacements and computationally solved through the parametric continuation method. The outcomes are verified with the Matlab program bvp4c, for accuracy purposes. The statistical outputs and graphical evaluation of physical factors versus velocity, energy, and mass outlines are given through tables and figures. The configuration of a circulating disk affects the energy transformation and velocity distribution desirably. In comparison to a uniform interface, the uneven spinning surface augments energy communication by up to 15%. The addition of nanostructured materials (cobalt ferrite and copper) dramatically improves the solvent physiochemical characteristics. Furthermore, the upward and downward oscillation of the rotating disc also enhances the velocity and energy distribution.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Frontiers in Energy Research
The study of fluid dynamics due to the stretching surface is one of the most eminent topics due t... more The study of fluid dynamics due to the stretching surface is one of the most eminent topics due to its potential industrial applications viz. drawing wire and plastic films, metal and polymer extrusion, fiber and glass production. In the present article, the author is going to study the effects of hybrid nanofluids flow on an inclined plate including CuO (Copper Oxide), and Cu (Copper). The Casson fluid with a couple-stress term has been used in the flow analysis. The surface of the plate is considered slippery. The convection has been taken nonlinear with thermal radiation. The governing equation of the flow of hybrid nanofluids with energy equation has been transformed into highly nonlinear ODEs through similarity transformation. The proposed model has been solved through a numerical RK-4 method. Significant variables of the physical process such as solar radiation, nonlinear convection parameters, heat transfer rates, and their effect on the solar power plant have been noticed.
Frontiers in Energy Research
The objective of this research is to evaluate the heat and mass transfer in a water-based Darcy–F... more The objective of this research is to evaluate the heat and mass transfer in a water-based Darcy–Forchheimer hybrid nanofluid (HNF) flow across an expanding cylinder. The fluid flow has been studied under the influence of a magnetic field, viscous dissipation, heat source, thermal radiation, concentration stratification, and chemical reaction. Carbon nanotubes (CNTs) and iron ferrite (Fe3O4) nanoparticles (NPs) are added to the water, for the purpose of synthesizing the HNF. The fluid flow has been induced in the presence of gyrotactic microorganisms and the non-Fick’s model. Microorganisms are used to stabilize scattered nanoparticles through the hybrid nanofluid. The phenomena have been modeled in the form of a nonlinear system of partial differential equations (PDEs). The modeled equations are reduced to a dimensionless system of ODEs by using similarity substitution. The numerical solution of the derived sets of nonlinear differential equations is obtained by using the parametric...
Scientific Reports
Using a thermally stratified water-based nanofluid and a permeable stretching sheet as a simulati... more Using a thermally stratified water-based nanofluid and a permeable stretching sheet as a simulation environment, this research examines the impact of nanoparticle aggregation on MHD mixed convective stagnation point flow. Nanoparticle aggregation is studied using two modified models: the Krieger–Dougherty and the Maxwell–Bruggeman. The present problem's governing equations were transformed into a solvable mathematical model utilizing legitimate similarity transformations, and numerical solutions were then achieved using shooting with Runge–Kutta Fehlberg (RKF) technique in Mathematica. Equilibrium point flow toward permeable stretching surface is important for the extrusion process because it produces required heat and mass transfer patterns and identifies and clarifies fragmented flow phenomena using diagrams. Nanoparticle volume fraction was shown to have an impact on the solutions' existence range, as well. Alumina and copper nanofluids have better heat transfer propertie...
International Journal of Modern Physics B
Practical Applications: Numerous technical applications, including as polymer deposition, electro... more Practical Applications: Numerous technical applications, including as polymer deposition, electrolysis control, medication delivery, spin-stabilized missile cooling and cooling of rotating machinery slices have sparked considerable interest in studying stagnation point flow. Nuclear power plants, photovoltaic panels and heat exchangers as well as microfluidic heating devices use them. Purpose: To better understand the unsteady [Formula: see text]–[Formula: see text]–[Formula: see text] ternary hybrid nanofluid stream at the stagnation zone with Joule heating, this research examines the unique prospective applicative properties. Methodology: The flow equations will be modeled. By using similarity transformation, it is possible to transform nonlinear partial differential equations (PDEs) that are not precisely solvable into ordinary differential equations (ODEs) that can be numerically resolved. Runge–Kutta-IV and the shooting technique in MATHEMATICA have been demonstrated to have a ...
Open Physics
Since obtaining an analytic solution to some mathematical and physical problems is often very dif... more Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods. In science and engineering, systems of integral differential equations and their solutions are extremely important. The Taylor collocation method is described as a matrix approach for solving numerically Linear Differential Equations (LDE) by using truncated Taylor series. Integral equations are used to solve problems such as radiative transmission and the oscillation of a string, membrane, or axle. Differential equations can be used to tackle oscillating difficulties. To discover approximate solutions for linear systems of integral differential equations with variable coefficients in terms of Taylor polynomials, the collocation approach, which is offered for differential and integral equation solutions, will be developed. A system of LDE will be translated into matrix equatio...
International Journal of Modern Physics B
For practical purposes, the study of ternary hybrid nanofluid flows near stretching/shrinking sur... more For practical purposes, the study of ternary hybrid nanofluid flows near stretching/shrinking surfaces, including heat generation/absorption and velocity slip, has enormous value. It is crucial to understand how fluid mechanics deals with stagnation point flow, which is a common phenomenon in both engineering and scientific domains. In the evaporation process, the polymer enterprises, and the aircraft counter jet, the stagnation point flow may be found. An unsteady stagnation point flow is used to explore a ternary hybrid nanofluid (Cu–TiO2–Al2O3/polymer) in relation to a convectively heated stretching/shrinking sheet. This research also considers the velocity slip condition in addition to the traditional surface under no-slip conditions. The differential equations and their partial derivatives are changed to ordinary differential equations by applying approved similarity transformations. The MATHEMATICA operating system employs the Shooting with Runge–Kutta-IV process to explain th...
International Journal of Modern Physics B
The flow of air containing small particles past a pointed area of an aircraft, bullet and bonnet ... more The flow of air containing small particles past a pointed area of an aircraft, bullet and bonnet of vehicles exhibits the flow over paraboloid surface of revolution. Therefore, the study of Al2O3-H2O nanofluid over upper paraboloid horizontal surface of revolution (UPHSR) is organized. The concerned model develops via thermal conductivity dealing with the particles shape factor and similarity transforms. Afterward, numerical analysis is performed and the influences of pertinent parameters on the velocity and temperature [Formula: see text] in Al2O3-H2O are examined. The deep inspection of the results in the view of physics behind them revealed that Al2O3-H2O drops for the stringer magnetic field. Further, nonlinear thermal radiations and internal heat generation made Al2O3-H2O a better heat conductor which increased its applications in a broad zone.
Fractal and Fractional
The fractional mobile/immobile solute transport model has applications in a wide range of phenome... more The fractional mobile/immobile solute transport model has applications in a wide range of phenomena such as ocean acoustic propagation and heat diffusion. The local radial basis functions (RBFs) method have been applied to many physical and engineering problems because of its simplicity in implementation and its superiority in solving different real-world problems easily. In this article, we propose an efficient local RBFs method coupled with Laplace transform (LT) for approximating the solution of fractional mobile/immobile solute transport model in the sense of Caputo derivative. In our method, first, we employ the LT which reduces the problem to an equivalent time-independent problem. The solution of the transformed problem is then approximated via the local RBF method based on multiquadric kernels. Afterward, the desired solution is represented as a contour integral in the left half complex along a smooth curve. The contour integral is then approximated via the midpoint rule. Th...
AIMS Mathematics
Cryptocurrency is a digital currency and also exists in the form of coins. It has turned out as a... more Cryptocurrency is a digital currency and also exists in the form of coins. It has turned out as a leading method for peer-to-peer online cash systems. Due to the importance and increasing influence of Bitcoin on business and other related sectors, it is very crucial to model or predict its behavior. Therefore, in recent, numerous researchers have attempted to understand and model the behaviors of cryptocurrency exchange rates. In the practice of actuarial and financial studies, heavy-tailed distributions play a fruitful role in modeling and describing the log returns of financial phenomena. In this paper, we propose a new family of distributions that possess heavy-tailed characteristics. Based on the proposed approach, a modified version of the logistic distribution, namely, a new modified exponential-logistic distribution is introduced. To illustrate the new modified exponential-logistic model, two financial data sets are analyzed. The first data set represents the log-returns of t...
International Journal of Modern Physics B
The progress in new inventions in the modern technological world demands outstanding heat transpo... more The progress in new inventions in the modern technological world demands outstanding heat transport. Unfortunately, common solvents are unable to produce such desired amount of heat which compelled the scientists and researchers towards the development of new heat transfer fluids (Nanofluids). Therefore, the study of C8H[Formula: see text] with hybridization of [(MnZnFe2O4–NiZnFe2O[Formula: see text]][Formula: see text] under novel effects of thermal radiations and convective heat conditions over a slippery permeable surface is organized. The modified thermophysical correlations for hybrid nanofluids were used and successfully achieved the modified heat transfer model. After numerical investigation, the results were plotted under varying parameters and provided for comprehensive discussion. The results revealed faster fluid motion and [Formula: see text] is dominant. The velocities drop significantly due to the permeability of the surface. Further, thermal radiations potentially boo...
The fractional Lakshmanan-Porsezian-Daniel equation (LPD) is a significant complex model for the ... more The fractional Lakshmanan-Porsezian-Daniel equation (LPD) is a significant complex model for the fractional Schrödinger family which arises in the quantum physics. This paper explores new bright and kink soliton solutions of the space-time fractional Lakshmanan-Porsezian-Daniel equation with kerr law of nonlinearity. By considering the conformable derivatives, the governing model is translated into integerorder differential equations by aid of an appropriate complex traveling wave transformation. Dynamic behavior and phase portrait of a traveling wave solutions are investigated. Further, various types of bright and kinked soliton solutions under definite parametric settings are discussed. Moreover, graphical representations of the obtained solution of the diverse fractional order are depicted to naturally illustrate the constructed solution.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
The fuzzy fractional differential equation explains more complex real-world Vphenomena than the f... more The fuzzy fractional differential equation explains more complex real-world Vphenomena than the fractional differential equation does. Therefore, numerous techniques are timely derived to solve various fractional time-dependent models. In this paper, we develop two compact finite difference schemes and employ the resulting schemes to obtain certain solution for the fuzzy time-fractional convection-diffusion equation. Then, by making use of the Caputo fractional derivative we provide new fuzzy analysis relying on some concept of fuzzy numbers. Further, we approximate the time-fractional derivative by using a fuzzy Caputo generalized Hukuhara derivative under double parametric form of fuzzy numbers. Furthermore, we introduce new computational techniques, based on fuzzy double parametric form, to shift the given problem from one fuzzy domain to another crisp domain. Moreover, we discuss some stability and error analysis for the proposed techniques by using the Fourier method. Over and above, we derive several numerical experiments to illustrate reliability and feasibility of our proposed approach. It was found that the fuzzy fourth-order compact implicit scheme produces slightly better results than the fourth-order compact FTCS scheme. Also, the proposed methods were found to be feasible, appropriate, and accurate, as demonstrated by a comparison of analytical and numerical solutions at various fuzzy values.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
In this work, we consider a nonlinear Volterra-Hammerstein integral equation of the second kind (... more In this work, we consider a nonlinear Volterra-Hammerstein integral equation of the second kind (V-HIESK). The existence of a unique solution to the integral equation, under certain conditions, is guaranteed. The projection method was used, as the best numerical method. This method is better than the previous methods in the possibility of obtaining the lowest relative error. The method of obtaining the best approximate solution, through the projection method, depends on presenting three consecutive algorithms and depends mainly on the method of iterative projection (P-IM). In each algorithm, we get the approximate solution and the corresponding relative error. Moreover, we demonstrated that the estimated error of P-IM in the first algorithm is better than that of the successive approximation method (SAM). Some numerical results were calculated, and the error estimate was computed, in each case. Finally, the numerical results have been compared between this method and previous research, and it is clear through the same examples that the relative error of the first algorithm is better than the comparative error in the other methods.
In this paper, an infinite elastic plate weakened by two holes are considered and the complex var... more In this paper, an infinite elastic plate weakened by two holes are considered and the complex variable method is used to derive a closed form of Gaursat functions for the first and second fundamental problems with variant time. The holes, in all previous works, are conformally mapped outside the unit circle without time. Here, the two holes are conformally mapped into the unit circle in the effect of time by the generalized rational mapping function with complex constant coefficients. By using this conformal mapping function, the fundamental problems transfer to an integro-differential equation with Cauchy kernel. Then, after applying the complex variable method, one can obtain a closed form of Gaursat functions. Some applications were discussed and the time effect on the applications was studied. In addition, the different stress components in each application have also been calculated using Maple 2022.1.
In this study, a numerical scheme is proposed for the fifth order (FO) singular differential mode... more In this study, a numerical scheme is proposed for the fifth order (FO) singular differential model (SDM), FO-SDM. The solutions of the singular form of the differential models are always considered difficult to solve and huge important in astrophysics. A neural network study together with the hybrid combination of global particle swarm optimization and local sequential quadratic programming schemes is provided to find the numerical simulations of the FO-SDM. An objective function is constructed using the differential FO-SDM along with the boundary conditions. The correctness of the scheme is observed by providing the comparison of the obtained and exact solutions. The justification of the proposed scheme is authenticated in terms of absolute error (AE), which is calculated in good measures for solving the FO-SDM. The efficiency and reliability of the stochastic approach are observed using the statistical performances to solve the FO-SDM.