Zehba Raizah - Academia.edu (original) (raw)
Papers by Zehba Raizah
Journal of Magnetism and Magnetic Materials
Scientific Reports
The present study proposes aerodynamically optimized exterior designs of a sport utility vehicle ... more The present study proposes aerodynamically optimized exterior designs of a sport utility vehicle using computational fluid dynamics analysis based on steady-state Reynolds-averaged Navier–Stokes turbulence models. To achieve an optimal design, modifications of the outer shape and adding some aerodynamic devices are investigated. This study focuses on modifying this vehicle model’s upper and front parts. At the same time, the rear diffuser and spare tire on the back door as a fairing are used as aerodynamic devices for improving streamlines. All these modifications and add-on devices are simulated individually or in combination to achieve the best exterior design. A variety of Reynolds numbers are used for determining the optimization variables. Tetrahedral cells are used throughout the global domain because of the sharp edges in the geometry of the Discovery car model. At the same time, prism cells around car surfaces are adopted to improve the accuracy of the results. A good agreem...
Scientific Reports
The main feature of the current investigation is to analyze the magnetohydrodynamic mixed convect... more The main feature of the current investigation is to analyze the magnetohydrodynamic mixed convection flow of Cross fluid. Flow is due to a movable thin needle with Soret and Dufour effect. Heat generation/absorption and nonlinear heat radiation are used in the energy equation. Characteristics of the chemical reaction and thermal activation are given special attention. Appropriate variables are introduced for the transformation of partial differential equations to ordinary differential equations. With the assistance of Runge–Kutta Fehlberg's fourth- fifth-order method with the shooting technique, we determined the prominent result numerically. The prominent examined parameters range is velocity and temperature ratios, heat generation, Dufour, Hartmann, Schmidt numbers ($$0.1\le{{\lambda}},{{{\theta}}}_{{{w}}},{{Q}},{{{D}}}_{{{u}}},\boldsymbol{ }{{M}},{{S}}{{c}}\le 0.7$$ 0.1 ≤ λ , θ w , Q , D u , M , S c ≤ 0.7 ), needle thickness ($$0\le {{a}}\le 15$$ 0 ≤ a ≤ 15 ), radiative param...
Scientific Reports
The purpose of this research was to estimate the thermal characteristics of tri-HNFs by investiga... more The purpose of this research was to estimate the thermal characteristics of tri-HNFs by investigating the impacts of ternary nanoparticles on heat transfer (HT) and fluid flow. The employment of flow-describing equations in the presence of thermal radiation, heat dissipation, and Hall current has been examined. Aluminum oxide (Al2O3), copper oxide (CuO), silver (Ag), and water (H2O) nanomolecules make up the ternary HNFs under study. The physical situation was modelled using boundary layer analysis, which generates partial differential equations for a variety of essential physical factors (PDEs). Assuming that a spinning disk is what causes the flow; the rheology of the flow is enlarged and calculated in a rotating frame. Before determining the solution, the produced PDEs were transformed into matching ODEs using the second order convergent technique (SOCT) also known as Keller Box method. Due to an increase in the implicated influencing elements, several significant physical effect...
Symmetry
This study examines a viscous, incompressible, free-convective Casson fluid flow over an inclined... more This study examines a viscous, incompressible, free-convective Casson fluid flow over an inclined plate, which characterizes an asymmetrical nanofluid flow and heat transfer behavior. Here, the two different nanofluids are basically made of molybdenum disulfide (MoS2) with CMC-based fluid and graphene oxide (GO) nanoparticles with CMC-based fluid to form a particular (CMC/MoS2) nanofluid and (CMC/GO) nanofluid. The Newtonian heating effect, slip boundary, porosity, and inclined magnetic effects are also considered. When memory effects are present, conventional PDEs are unable to investigate and evaluate the physical behavior of various flow parameters. We employed the Prabhakar fractional derivative, the best and most current fractional mathematical operator, to tackle the considered nanofluid problem. Using the integral transform approach, Laplace transforms, the non-dimensional governed model is converted into a fractional model and solved. The graphical analysis examines the infl...
Frontiers in Physics
As a result of its wide range of applications, FSI has grabbed the attention of researchers and s... more As a result of its wide range of applications, FSI has grabbed the attention of researchers and scientists. In this study we consider an incompressible, laminar fluid flowing through the bifurcated channel. The wavy walls of the channel are considered elastic. Moreover, a magnetic field is applied towards the axial direction of the flow. Using a two-way fluid-structure interaction, an Arbitrary Lagrangian-Eulerian (ALE) formulation is used for coupling the problem. The problem is discretized using P2 and P1 finite element methods to approximate the displacement, pressure, and velocity. The linearized system of equations is solved using Newton’s iterative scheme. The analysis is carried out for the Reynolds number and Hartman number. The ranges of the studied parameters are Reynolds number 300≤Re≤1000 and Hartmann number 0≤Ha≤10. The hemodynamic effects on the bifurcated channel and elastic walls are calculated using velocity, pressure, wall shear stresses (WSS), and loads at the wal...
Scientific Reports
The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to... more The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakharov–Kuznetsov equations. The Caputo notion of the fractional-order derivative, whose values fall within the closed interval [0, 1], has been taken into consideration. The method's appeal is that it provides an approximate solution after just one iteration. The suggested method's numerical findings have been contrasted with those of the variational iteration method, residual power series method, and perturbation iteration method. Through tables and graphs, the proposed method's effectiveness and dependability are demonstrated.
Scientific Reports
Current investigation emphasizes the evaluation of entropy in a porous medium of Williamson nanof... more Current investigation emphasizes the evaluation of entropy in a porous medium of Williamson nanofluid (WNF) flow past an exponentially extending horizontal plate featuring Parabolic Trough Solar Collector (PTSC). Two kinds of nanofluids such as copper-methanol (Cu-MeOH) and alumina-methanol (Al2O3-MeOH) were tested, discussed and plotted graphically. The fabricated nanoparticles are studied using different techniques, including TDDFT/DMOl3 method as simulated and SEM measurements as an experimental method. The centroid lengths of the dimer are 3.02 Å, 3.27 Å, and 2.49 Å for (Cu-MeOH), (Al2O3-MeOH), and (Cu-MeOH-αAl-MOH), respectively. Adequate similarity transformations were applied to convert the partial differential equation (PDEs) into nonlinear ordinary differential equations (ODEs) with the corresponding boundary constraints. An enhancement in Brinkmann and Reynolds numbers increases the overall system entropy. WNF parameter enhances the heat rate in PTSC. The thermal efficienc...
International Communications in Heat and Mass Transfer
Mathematics
The rapid advancement in technology in recent years has shown that nanofluids are very vital to f... more The rapid advancement in technology in recent years has shown that nanofluids are very vital to further development in science and technology. Moreover, many industrial specifications cannot be met by allowing natural convection only, hence the need to incorporate forced convection and natural convection into a single flow regime. The research aims to quantify the mixed convective two-phase flow past a vertical permeable surface in a Brinkman-Extended Darcy porous medium (BEDPM) induced by nanofluid, with heat and mass transfer. In addition, the Nield condition is also incorporated. The model of the problem was initially constructed in the vital form of leading governing equations (LGEs). These LGEs are specifically called partial differential equations (PDEs) (because of two or more independent variables) which were later converted into a set of the single independent variable of ordinary differential equations (ODEs) by implementing the similarity transformations. The set of singl...
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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.
Energies
The current exploration aims to inspect the features of thermal radiation on the buoyancy or mixe... more The current exploration aims to inspect the features of thermal radiation on the buoyancy or mixed convective fluid flow induced by nanofluid through a stretching permeable bended sheet. The impact of activation energy and binary reaction along with slip migration is taken into account to discuss the fine points of water-based alumina nanoparticle flow. The structure of the curved sheet is assumed to be stretchable and the bended texture is coiled within a circular section with radius Rb. The similarity technique is utilized to reduce the leading partial differential equations into ordinary differential equations. These reduced equations are then deciphered numerically by employing the bvp4c method. The outcomes of the model were constructed in the form of several figures and bar graphs for the case of opposing and assisting flows with varying distinct embedded control parameters. The results display that the velocity field curves escalate with a higher radius of curvature parameter...
Scientific Reports, Sep 29, 2022
Kc 2 Chemical reaction rate Q 0 Heat source MHD Magnetohydrodynamics C Concentration Porosity fac... more Kc 2 Chemical reaction rate Q 0 Heat source MHD Magnetohydrodynamics C Concentration Porosity factor Nb Brownian motion Gr Grashof number ρ hnf Density (ρβ T) hnf Thermal expansion σ hnf Electrical conductivity φ 2 = φ TiO 2 Nanoparticles volume friction TiO 2 Titanium dioxide SiO 2 Silicon dioxide The analysis of fluid flow over a slendering surface has frequent implementations in various fields, containing manufacture of glass, aerodynamic, polymer industry, firmness of plastic slips and metal tubular 1-3. Gul et al. 4 examined and evaluated the proficiency of a hybrid nanofluid along an increasing sheet. It was discovered that the magnetism influence altered the instability of liquid. Bilal et al. 5 employed the PCM methodology to imitate the movement of nanoliquids through a stretchable material with the effects of suction and injection. The physical and chemical properties of nanofluid flow passing through permeable stretching was documented by Safwa et al. 6. Moreover, Hussain et al. 7 reported the energy conversions of MHD nanoliquid flow along an elongating surface. Shuaib et al. 8 described the ferrofluid flow along with the characteristics of energy conveyance through spinning sheet. Hussain et al. 9 assessed the energy transport through nanoliquid flow over an extending cylinder. Uddin et al. 10 analysed the energy transmission through water-based nanoliquid across an expanding surface. Rasool et al. 11 documented the nanoliquid flow across a contracting surface. Ahmad et al. 12 assessed nanoliquid fluid across a slender stretching sheet. Hybrid nanofluid has greater thermal efficiency and mostly utilized in industry for cooling purposes 13. Hybrid nanofluid work in solar energy, energy transition, air conditioners, generators, the vehicle sector, radioactive systems, electrical coolers, ships, biotechnology and transmitters 14-16. TiO 2 and SiO 2 have non-toxic, non-reactive characteristics and absorb UV rays used for skin cancer, drug delivery, recording devices and solar cells 17. Traciak et al. 18 conducted an experimentally assessed the density, optical characteristics and surface tension of SiO 2-containing nanoliquids based on ethylene glycol. Using the bvp4c software, Bhatti et al. 19 provided a detailed discussion of SiO2 and carbon nanocrystals over an elastic substrate. Ahmed et al. 20 scrutinized the nanoliquid flow and energy conveyance through Al 2 O 3 and TiO 2 nps based nanoliquid, to augments the thermal efficiency of base solvent, such as thermal diffusivity and heat transport coefficient. Khashi'ie et al. 21,22 highlighted the comportment of Al 2 O 3-Cu based hybrid nanoliquid flow and its thermal properties as they were driven by an elongating Riga plate. Alwawi et al. 23 addressed the impact of magnetism on nanofluid streaming in the scenario of coupled convection across a circular cylinder. The findings show that increasing the coupled convection factor's value improves the Nusselt number, velocity, skin friction and rotational velocity while reducing the thermal contour's trends. Abbasi et al. 24 comparatively reported the thermal assessment of three distinct sorts of nano particulates, including TiO 2 , SiO 2 and aluminum oxide through curved sheet. Khashi'ie et al. 25 used Cu-Al 2 O 3 hybrid nanoparticles to study the Blasius flow across a rotating plate. De 26 and Mondal et al. 27 investigated the combined influence of Soret-Dufour interactions in a nanoliquid flow. Recently, a number of investigators have described on the evaluation of hybrid nanoliquid flow over distinct configuration 28-32. Hall current can be detected if the fluid density is small, or the magnetic flux amplitude is strong. In many practical operations that call for an intense electric affect and smaller atomic concentration, hall effects should not be undervalued. Electron transport, where electrons move more quickly than ions, is what results in isotropic conductivity. Ohm's law needs to be revised for the purposes to consider the Hall effect. It has several applications in Hall activators, circuits, pumps, electric inverters, turbines and other equipment, Nanoliquid flow with the upshot of Hall current and magnetic effect has drawn the attention of scientists 33,34. Using an extended sheet, Khan and Nadeem 35 examined a spinning Maxwell nanoliquid flow with a magnetism, Hall current and kinetic energy. An asymmetrical reactive nanoliquid flow induced by a magnetization revolving plate and the Hall impact is described by Acharya et al. 36 along with the flow dynamics and energy variations. They found that the energy transference was improved by 84.61% by nanocomposites. The Hall effect in nanofluid flow has recently been the subject of numerous investigations 37-40. The purpose of the current assessment is to study the flow features of Darcy Forchhemier hybrid nanoliquid across a slender permeable stretching surface. The consequences of magnetic fields, second order exothermic reaction, Hall current and heat absorption and generation are all accounted to the fluid flow. In the working fluid, SiO 2 and TiO 2 nano particulates are dispersed to prepare the hybrid nanoliquid. The modeled has been designed as a nonlinear set of PDEs. Which are transmute to the dimensionless system of ODEs by using the similarity replacement. The reduced set of nonlinear ODEs has been numerically estimated through bvp4c package. Mathematical framework We assumed a steady 2D MHD hybrid nanoliquid flow through impermeable slendering substrate. The surface is stretching with velocity U w (x) = (x + b) n U 0 , as described in Fig. 1, where n is the power index. The sheet irregularity is assumed as y = A(x + b)
![Research paper thumbnail of Thermal mechanism in magneto radiated [(Al2O3-Fe3O4)/blood]hnf over a 3D surface: Applications in Biomedical Engineering](https://attachments.academia-assets.com/98209294/thumbnails/1.jpg)
](Frontiers in Chemistry, Oct 6, 2022
Nanofluids are a new generation of fluids which help in improving the efficiency of thermal syste... more Nanofluids are a new generation of fluids which help in improving the efficiency of thermal systems by improving heat transport rate and extensive applications of this class extensively fall in biomedical engineering, the electronics industry, applied thermal and mechanical engineering, etc. The core concern of this study is to examine the interaction of Al 2 O 3-Fe 3 O 4 hybrid nanoparticles of lamina shaped with blood over a 3D surface by impinging novel impacts of nonlinear thermal radiations, stretching, velocity slippage, and magnetic field. This leads to a mathematical flow model in terms of highly non-linear differential equations via nanofluid-effective characteristics and similarity rules. To know the actual behavior of (Al 2 O 3-Fe 3 O 4)/blood inside the concerned region, mathematical investigation is performed via numerical technique and the results are obtained for different parameter ranges. The imposed magnetic field of high strength is a better tool to control the motion of (Al 2 O 3-Fe 3 O 4)/ blood inside the boundary layer, whereas, stretching of the surface is in direct proportion of the fluid movement. Furthermore, thermal radiations (Rd) and γ 1 are observed to be beneficial for thermal enhancement for both (Al 2 O 3-Fe 3 O 4)/ blood and (Al 2 O 3)/blood.
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
AIMS Mathematics
This investigation theoretically describes the exact solution of an unsteady fractional a second-... more This investigation theoretically describes the exact solution of an unsteady fractional a second-grade fluid upon a bottom plate constrained by two walls at the sides which are parallel to each other and are normal to the bottom plate. The flow in the fluid is induced by the time dependent motion of the bottom plate. Initially the flow equation along with boundary and initial conditions are considered which are then transformed to dimensionless notations using suitable set of variables. The Laplace as well as Fourier transformations have been employed to recover the exact solution of flow equation. The time fractional differential operator of Caputo-Fabrizio has been employed to have constitutive equations of fractional order for second-grade fluid. After obtaining the general exact solutions for flow characteristics, three different cases at the surface of bottom plate are discussed; namely (i) Stokes first problem (ii) Accelerating flow (iii) Stokes second problem. It has noticed ...
International Journal of Modern Physics B
Cancer is a disease that is extremely lethal and dangerous to its patients. This study suggests t... more Cancer is a disease that is extremely lethal and dangerous to its patients. This study suggests that blood particles containing gold can control and decimate it because these particles have a large atomic size, which raises the temperature and helps to control cancer cells (malignant tumors). The current exploration is eager to deal with a 2D mixed convection flow through blood heat diffusion, which conveys the blood fluid (Williamson fluid) through the use of gold substances from a moving curved surface. The flow problem is represented by curvilinear coordinates. Magnetic interaction with radiation is also induced. The method of similarity parameters is used to convert the Williamson model’s partial differential equation into nonlinear ordinary differential equations and utilized the bvp4c solver to find dual solutions. Sketches are used to convey numerical results for velocity distribution, the friction factor, and heat transfer with temperature profile. The results indicate that ...
Frontiers in Chemistry
Heat transfer and energy storage remain a core problem for industrialists and engineers. So, the ... more Heat transfer and energy storage remain a core problem for industrialists and engineers. So, the concept of new heat transfer fluids, namely, nanofluids and hybrid nanofluids, has been introduced so far. Recently, a new third generation of heat transfer fluids has been developed known as modified hybrid nanofluids (MHNs), synthesized by ternary nanomaterials and the host fluid. Therefore, the study was conducted to investigate the energy storage efficiency between (Al2O3-CuO-Cu/H2O)mhnf and (Al2O3-CuO/H2O)hnf in the presence of novel viscous dissipation effects. The problem is developed for a channel with stretchable walls via thermophysical attributes of binary and ternary guest nanomaterials and the host liquid. The model is tackled numerically and furnished results for the dynamics, most specifically energy storage efficiency in (Al2O3-CuO-Cu/H2O)mhnf. It is examined that the third generation of heat transfer fluids (Al2O3-CuO-Cu/H2O)mhnf has high thermal energy storage efficienc...
Micromachines
The aluminum nanoparticle is adequate for power grid wiring, such as the distribution of local po... more The aluminum nanoparticle is adequate for power grid wiring, such as the distribution of local power and the transmission of aerial power lines, because of its higher conductivity. This nanoparticle is also one of the most commonly used materials in applications in the electrical field. Thus, in this study, a radiative axisymmetric flow of Casson fluid, induced by water-based Al2O3 nanofluid by using the Koo–Kleinstreuer–Li (KKL) correlation, is investigated. The impact of the magnetic field is also taken into account. KKL correlation is utilized to compute the thermal conductivity and effective viscosity. Analytical double solutions are presented for the considered axisymmetric flow model after implementing the similarity technique to transmute the leading equations into ordinary differential equations. The obtained analytic forms were used to examine and discuss the velocity profile, the temperature distribution, reduced heat transfer, and coefficient of reduced skin friction. The...
Journal of Magnetism and Magnetic Materials
Scientific Reports
The present study proposes aerodynamically optimized exterior designs of a sport utility vehicle ... more The present study proposes aerodynamically optimized exterior designs of a sport utility vehicle using computational fluid dynamics analysis based on steady-state Reynolds-averaged Navier–Stokes turbulence models. To achieve an optimal design, modifications of the outer shape and adding some aerodynamic devices are investigated. This study focuses on modifying this vehicle model’s upper and front parts. At the same time, the rear diffuser and spare tire on the back door as a fairing are used as aerodynamic devices for improving streamlines. All these modifications and add-on devices are simulated individually or in combination to achieve the best exterior design. A variety of Reynolds numbers are used for determining the optimization variables. Tetrahedral cells are used throughout the global domain because of the sharp edges in the geometry of the Discovery car model. At the same time, prism cells around car surfaces are adopted to improve the accuracy of the results. A good agreem...
Scientific Reports
The main feature of the current investigation is to analyze the magnetohydrodynamic mixed convect... more The main feature of the current investigation is to analyze the magnetohydrodynamic mixed convection flow of Cross fluid. Flow is due to a movable thin needle with Soret and Dufour effect. Heat generation/absorption and nonlinear heat radiation are used in the energy equation. Characteristics of the chemical reaction and thermal activation are given special attention. Appropriate variables are introduced for the transformation of partial differential equations to ordinary differential equations. With the assistance of Runge–Kutta Fehlberg's fourth- fifth-order method with the shooting technique, we determined the prominent result numerically. The prominent examined parameters range is velocity and temperature ratios, heat generation, Dufour, Hartmann, Schmidt numbers ($$0.1\le{{\lambda}},{{{\theta}}}_{{{w}}},{{Q}},{{{D}}}_{{{u}}},\boldsymbol{ }{{M}},{{S}}{{c}}\le 0.7$$ 0.1 ≤ λ , θ w , Q , D u , M , S c ≤ 0.7 ), needle thickness ($$0\le {{a}}\le 15$$ 0 ≤ a ≤ 15 ), radiative param...
Scientific Reports
The purpose of this research was to estimate the thermal characteristics of tri-HNFs by investiga... more The purpose of this research was to estimate the thermal characteristics of tri-HNFs by investigating the impacts of ternary nanoparticles on heat transfer (HT) and fluid flow. The employment of flow-describing equations in the presence of thermal radiation, heat dissipation, and Hall current has been examined. Aluminum oxide (Al2O3), copper oxide (CuO), silver (Ag), and water (H2O) nanomolecules make up the ternary HNFs under study. The physical situation was modelled using boundary layer analysis, which generates partial differential equations for a variety of essential physical factors (PDEs). Assuming that a spinning disk is what causes the flow; the rheology of the flow is enlarged and calculated in a rotating frame. Before determining the solution, the produced PDEs were transformed into matching ODEs using the second order convergent technique (SOCT) also known as Keller Box method. Due to an increase in the implicated influencing elements, several significant physical effect...
Symmetry
This study examines a viscous, incompressible, free-convective Casson fluid flow over an inclined... more This study examines a viscous, incompressible, free-convective Casson fluid flow over an inclined plate, which characterizes an asymmetrical nanofluid flow and heat transfer behavior. Here, the two different nanofluids are basically made of molybdenum disulfide (MoS2) with CMC-based fluid and graphene oxide (GO) nanoparticles with CMC-based fluid to form a particular (CMC/MoS2) nanofluid and (CMC/GO) nanofluid. The Newtonian heating effect, slip boundary, porosity, and inclined magnetic effects are also considered. When memory effects are present, conventional PDEs are unable to investigate and evaluate the physical behavior of various flow parameters. We employed the Prabhakar fractional derivative, the best and most current fractional mathematical operator, to tackle the considered nanofluid problem. Using the integral transform approach, Laplace transforms, the non-dimensional governed model is converted into a fractional model and solved. The graphical analysis examines the infl...
Frontiers in Physics
As a result of its wide range of applications, FSI has grabbed the attention of researchers and s... more As a result of its wide range of applications, FSI has grabbed the attention of researchers and scientists. In this study we consider an incompressible, laminar fluid flowing through the bifurcated channel. The wavy walls of the channel are considered elastic. Moreover, a magnetic field is applied towards the axial direction of the flow. Using a two-way fluid-structure interaction, an Arbitrary Lagrangian-Eulerian (ALE) formulation is used for coupling the problem. The problem is discretized using P2 and P1 finite element methods to approximate the displacement, pressure, and velocity. The linearized system of equations is solved using Newton’s iterative scheme. The analysis is carried out for the Reynolds number and Hartman number. The ranges of the studied parameters are Reynolds number 300≤Re≤1000 and Hartmann number 0≤Ha≤10. The hemodynamic effects on the bifurcated channel and elastic walls are calculated using velocity, pressure, wall shear stresses (WSS), and loads at the wal...
Scientific Reports
The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to... more The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakharov–Kuznetsov equations. The Caputo notion of the fractional-order derivative, whose values fall within the closed interval [0, 1], has been taken into consideration. The method's appeal is that it provides an approximate solution after just one iteration. The suggested method's numerical findings have been contrasted with those of the variational iteration method, residual power series method, and perturbation iteration method. Through tables and graphs, the proposed method's effectiveness and dependability are demonstrated.
Scientific Reports
Current investigation emphasizes the evaluation of entropy in a porous medium of Williamson nanof... more Current investigation emphasizes the evaluation of entropy in a porous medium of Williamson nanofluid (WNF) flow past an exponentially extending horizontal plate featuring Parabolic Trough Solar Collector (PTSC). Two kinds of nanofluids such as copper-methanol (Cu-MeOH) and alumina-methanol (Al2O3-MeOH) were tested, discussed and plotted graphically. The fabricated nanoparticles are studied using different techniques, including TDDFT/DMOl3 method as simulated and SEM measurements as an experimental method. The centroid lengths of the dimer are 3.02 Å, 3.27 Å, and 2.49 Å for (Cu-MeOH), (Al2O3-MeOH), and (Cu-MeOH-αAl-MOH), respectively. Adequate similarity transformations were applied to convert the partial differential equation (PDEs) into nonlinear ordinary differential equations (ODEs) with the corresponding boundary constraints. An enhancement in Brinkmann and Reynolds numbers increases the overall system entropy. WNF parameter enhances the heat rate in PTSC. The thermal efficienc...
International Communications in Heat and Mass Transfer
Mathematics
The rapid advancement in technology in recent years has shown that nanofluids are very vital to f... more The rapid advancement in technology in recent years has shown that nanofluids are very vital to further development in science and technology. Moreover, many industrial specifications cannot be met by allowing natural convection only, hence the need to incorporate forced convection and natural convection into a single flow regime. The research aims to quantify the mixed convective two-phase flow past a vertical permeable surface in a Brinkman-Extended Darcy porous medium (BEDPM) induced by nanofluid, with heat and mass transfer. In addition, the Nield condition is also incorporated. The model of the problem was initially constructed in the vital form of leading governing equations (LGEs). These LGEs are specifically called partial differential equations (PDEs) (because of two or more independent variables) which were later converted into a set of the single independent variable of ordinary differential equations (ODEs) by implementing the similarity transformations. The set of singl...
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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.
Energies
The current exploration aims to inspect the features of thermal radiation on the buoyancy or mixe... more The current exploration aims to inspect the features of thermal radiation on the buoyancy or mixed convective fluid flow induced by nanofluid through a stretching permeable bended sheet. The impact of activation energy and binary reaction along with slip migration is taken into account to discuss the fine points of water-based alumina nanoparticle flow. The structure of the curved sheet is assumed to be stretchable and the bended texture is coiled within a circular section with radius Rb. The similarity technique is utilized to reduce the leading partial differential equations into ordinary differential equations. These reduced equations are then deciphered numerically by employing the bvp4c method. The outcomes of the model were constructed in the form of several figures and bar graphs for the case of opposing and assisting flows with varying distinct embedded control parameters. The results display that the velocity field curves escalate with a higher radius of curvature parameter...
Scientific Reports, Sep 29, 2022
Kc 2 Chemical reaction rate Q 0 Heat source MHD Magnetohydrodynamics C Concentration Porosity fac... more Kc 2 Chemical reaction rate Q 0 Heat source MHD Magnetohydrodynamics C Concentration Porosity factor Nb Brownian motion Gr Grashof number ρ hnf Density (ρβ T) hnf Thermal expansion σ hnf Electrical conductivity φ 2 = φ TiO 2 Nanoparticles volume friction TiO 2 Titanium dioxide SiO 2 Silicon dioxide The analysis of fluid flow over a slendering surface has frequent implementations in various fields, containing manufacture of glass, aerodynamic, polymer industry, firmness of plastic slips and metal tubular 1-3. Gul et al. 4 examined and evaluated the proficiency of a hybrid nanofluid along an increasing sheet. It was discovered that the magnetism influence altered the instability of liquid. Bilal et al. 5 employed the PCM methodology to imitate the movement of nanoliquids through a stretchable material with the effects of suction and injection. The physical and chemical properties of nanofluid flow passing through permeable stretching was documented by Safwa et al. 6. Moreover, Hussain et al. 7 reported the energy conversions of MHD nanoliquid flow along an elongating surface. Shuaib et al. 8 described the ferrofluid flow along with the characteristics of energy conveyance through spinning sheet. Hussain et al. 9 assessed the energy transport through nanoliquid flow over an extending cylinder. Uddin et al. 10 analysed the energy transmission through water-based nanoliquid across an expanding surface. Rasool et al. 11 documented the nanoliquid flow across a contracting surface. Ahmad et al. 12 assessed nanoliquid fluid across a slender stretching sheet. Hybrid nanofluid has greater thermal efficiency and mostly utilized in industry for cooling purposes 13. Hybrid nanofluid work in solar energy, energy transition, air conditioners, generators, the vehicle sector, radioactive systems, electrical coolers, ships, biotechnology and transmitters 14-16. TiO 2 and SiO 2 have non-toxic, non-reactive characteristics and absorb UV rays used for skin cancer, drug delivery, recording devices and solar cells 17. Traciak et al. 18 conducted an experimentally assessed the density, optical characteristics and surface tension of SiO 2-containing nanoliquids based on ethylene glycol. Using the bvp4c software, Bhatti et al. 19 provided a detailed discussion of SiO2 and carbon nanocrystals over an elastic substrate. Ahmed et al. 20 scrutinized the nanoliquid flow and energy conveyance through Al 2 O 3 and TiO 2 nps based nanoliquid, to augments the thermal efficiency of base solvent, such as thermal diffusivity and heat transport coefficient. Khashi'ie et al. 21,22 highlighted the comportment of Al 2 O 3-Cu based hybrid nanoliquid flow and its thermal properties as they were driven by an elongating Riga plate. Alwawi et al. 23 addressed the impact of magnetism on nanofluid streaming in the scenario of coupled convection across a circular cylinder. The findings show that increasing the coupled convection factor's value improves the Nusselt number, velocity, skin friction and rotational velocity while reducing the thermal contour's trends. Abbasi et al. 24 comparatively reported the thermal assessment of three distinct sorts of nano particulates, including TiO 2 , SiO 2 and aluminum oxide through curved sheet. Khashi'ie et al. 25 used Cu-Al 2 O 3 hybrid nanoparticles to study the Blasius flow across a rotating plate. De 26 and Mondal et al. 27 investigated the combined influence of Soret-Dufour interactions in a nanoliquid flow. Recently, a number of investigators have described on the evaluation of hybrid nanoliquid flow over distinct configuration 28-32. Hall current can be detected if the fluid density is small, or the magnetic flux amplitude is strong. In many practical operations that call for an intense electric affect and smaller atomic concentration, hall effects should not be undervalued. Electron transport, where electrons move more quickly than ions, is what results in isotropic conductivity. Ohm's law needs to be revised for the purposes to consider the Hall effect. It has several applications in Hall activators, circuits, pumps, electric inverters, turbines and other equipment, Nanoliquid flow with the upshot of Hall current and magnetic effect has drawn the attention of scientists 33,34. Using an extended sheet, Khan and Nadeem 35 examined a spinning Maxwell nanoliquid flow with a magnetism, Hall current and kinetic energy. An asymmetrical reactive nanoliquid flow induced by a magnetization revolving plate and the Hall impact is described by Acharya et al. 36 along with the flow dynamics and energy variations. They found that the energy transference was improved by 84.61% by nanocomposites. The Hall effect in nanofluid flow has recently been the subject of numerous investigations 37-40. The purpose of the current assessment is to study the flow features of Darcy Forchhemier hybrid nanoliquid across a slender permeable stretching surface. The consequences of magnetic fields, second order exothermic reaction, Hall current and heat absorption and generation are all accounted to the fluid flow. In the working fluid, SiO 2 and TiO 2 nano particulates are dispersed to prepare the hybrid nanoliquid. The modeled has been designed as a nonlinear set of PDEs. Which are transmute to the dimensionless system of ODEs by using the similarity replacement. The reduced set of nonlinear ODEs has been numerically estimated through bvp4c package. Mathematical framework We assumed a steady 2D MHD hybrid nanoliquid flow through impermeable slendering substrate. The surface is stretching with velocity U w (x) = (x + b) n U 0 , as described in Fig. 1, where n is the power index. The sheet irregularity is assumed as y = A(x + b)
Frontiers in Chemistry, Oct 6, 2022
Nanofluids are a new generation of fluids which help in improving the efficiency of thermal syste... more Nanofluids are a new generation of fluids which help in improving the efficiency of thermal systems by improving heat transport rate and extensive applications of this class extensively fall in biomedical engineering, the electronics industry, applied thermal and mechanical engineering, etc. The core concern of this study is to examine the interaction of Al 2 O 3-Fe 3 O 4 hybrid nanoparticles of lamina shaped with blood over a 3D surface by impinging novel impacts of nonlinear thermal radiations, stretching, velocity slippage, and magnetic field. This leads to a mathematical flow model in terms of highly non-linear differential equations via nanofluid-effective characteristics and similarity rules. To know the actual behavior of (Al 2 O 3-Fe 3 O 4)/blood inside the concerned region, mathematical investigation is performed via numerical technique and the results are obtained for different parameter ranges. The imposed magnetic field of high strength is a better tool to control the motion of (Al 2 O 3-Fe 3 O 4)/ blood inside the boundary layer, whereas, stretching of the surface is in direct proportion of the fluid movement. Furthermore, thermal radiations (Rd) and γ 1 are observed to be beneficial for thermal enhancement for both (Al 2 O 3-Fe 3 O 4)/ blood and (Al 2 O 3)/blood.
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
AIMS Mathematics
This investigation theoretically describes the exact solution of an unsteady fractional a second-... more This investigation theoretically describes the exact solution of an unsteady fractional a second-grade fluid upon a bottom plate constrained by two walls at the sides which are parallel to each other and are normal to the bottom plate. The flow in the fluid is induced by the time dependent motion of the bottom plate. Initially the flow equation along with boundary and initial conditions are considered which are then transformed to dimensionless notations using suitable set of variables. The Laplace as well as Fourier transformations have been employed to recover the exact solution of flow equation. The time fractional differential operator of Caputo-Fabrizio has been employed to have constitutive equations of fractional order for second-grade fluid. After obtaining the general exact solutions for flow characteristics, three different cases at the surface of bottom plate are discussed; namely (i) Stokes first problem (ii) Accelerating flow (iii) Stokes second problem. It has noticed ...
International Journal of Modern Physics B
Cancer is a disease that is extremely lethal and dangerous to its patients. This study suggests t... more Cancer is a disease that is extremely lethal and dangerous to its patients. This study suggests that blood particles containing gold can control and decimate it because these particles have a large atomic size, which raises the temperature and helps to control cancer cells (malignant tumors). The current exploration is eager to deal with a 2D mixed convection flow through blood heat diffusion, which conveys the blood fluid (Williamson fluid) through the use of gold substances from a moving curved surface. The flow problem is represented by curvilinear coordinates. Magnetic interaction with radiation is also induced. The method of similarity parameters is used to convert the Williamson model’s partial differential equation into nonlinear ordinary differential equations and utilized the bvp4c solver to find dual solutions. Sketches are used to convey numerical results for velocity distribution, the friction factor, and heat transfer with temperature profile. The results indicate that ...
Frontiers in Chemistry
Heat transfer and energy storage remain a core problem for industrialists and engineers. So, the ... more Heat transfer and energy storage remain a core problem for industrialists and engineers. So, the concept of new heat transfer fluids, namely, nanofluids and hybrid nanofluids, has been introduced so far. Recently, a new third generation of heat transfer fluids has been developed known as modified hybrid nanofluids (MHNs), synthesized by ternary nanomaterials and the host fluid. Therefore, the study was conducted to investigate the energy storage efficiency between (Al2O3-CuO-Cu/H2O)mhnf and (Al2O3-CuO/H2O)hnf in the presence of novel viscous dissipation effects. The problem is developed for a channel with stretchable walls via thermophysical attributes of binary and ternary guest nanomaterials and the host liquid. The model is tackled numerically and furnished results for the dynamics, most specifically energy storage efficiency in (Al2O3-CuO-Cu/H2O)mhnf. It is examined that the third generation of heat transfer fluids (Al2O3-CuO-Cu/H2O)mhnf has high thermal energy storage efficienc...
Micromachines
The aluminum nanoparticle is adequate for power grid wiring, such as the distribution of local po... more The aluminum nanoparticle is adequate for power grid wiring, such as the distribution of local power and the transmission of aerial power lines, because of its higher conductivity. This nanoparticle is also one of the most commonly used materials in applications in the electrical field. Thus, in this study, a radiative axisymmetric flow of Casson fluid, induced by water-based Al2O3 nanofluid by using the Koo–Kleinstreuer–Li (KKL) correlation, is investigated. The impact of the magnetic field is also taken into account. KKL correlation is utilized to compute the thermal conductivity and effective viscosity. Analytical double solutions are presented for the considered axisymmetric flow model after implementing the similarity technique to transmute the leading equations into ordinary differential equations. The obtained analytic forms were used to examine and discuss the velocity profile, the temperature distribution, reduced heat transfer, and coefficient of reduced skin friction. The...