Heat and mass transfer in a steady flow of Sutterby nanofluid over the surface of a stretching wedge (original) (raw)
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A Survey of literature illustrates that nano liquid is further helpful for heat transportation as compared to regular liquid. Nonetheless, there are considerable gaps in our understanding of existing approaches for enhancing heat transmission in nanofluids, necessitating comprehensive research of these fluids. The current approach proposes to investigate the influence of a Maxwell-Sutterby nanofluid on a sheet while accounting for heat radiation. This paper investigates activation energy, and exponential heat source/sink. Bioconvection and motile microorganisms with Brownian motion and thermophoresis effects are considered.y linked similarity transformations, the boundary layer set of controlling partial differential equations are transformed into ordinary differential equations. A numerical strategy (shooting technique) is used to handle the transformed system of ordinary differential equations through the Bvp4c solver of the computing tool MATLAB. The results for velocity and temperature, concentration, and motile microbe profiles are numerically and graphically examined for various parameters. The velocity distribution profile decreased as the magnetic parameter varied, but increased when the mixed convection parameter increased in magnitude. The heat flux profile is improved with higher estimations of the Biot number and thermophoresis parameter. When the Prandtl number and the Brownian motion parameter's values rise, the energy profile falls. When the Peclet number and bioconvection Lewis number increased, the profile of mobile microorganisms dropped.
Mathematical Problems in Engineering, 2021
is paper presents a mathematical model analysis of heat and mass transfer in a two-dimensional flow of electrically conducting, thermally radiative, and chemically reactive Maxwell nanofluid towards a vertical stretching and permeable sheet embedded in a porous medium. Boundary layer approximation and suitable transformations are used to reduce the governing differential equations convenient for computation. Eventually, the transformed nonlinear differential equations along with the corresponding boundary conditions are solved in the framework of optimal homotopy analysis method. e effects of induced magnetic field, buoyancy force, viscous dissipation, heat source, Joule heating, and convective boundary condition are analyzed in detail. e rates of heat, mass, and momentum transfer with respect to the relevant parameters are also examined in terms of the local Nusselt number, Sherwood number, and skin friction coefficients, respectively. Among the many results of the study, it is shown that the induced magnetic field, flow velocity, and temperature profiles are increasing functions of the Maxwell parameter. e results of the present study are also in a close agreement with previously published results under common assumptions.
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The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unsteady flow of a viscous nanofluid about an aligned magnetic field that includes the joint effect of suction, velocity slip, and heat source across a porous convective stretching/shrinking surface. Initially, using non-dimensional variables, the nonlinear governing partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs) which were subsequently solved with the help of bvp4c built-in package in MATLAB. The results declare that escalating the values of the unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of the slip parameter. Furthermore, the heat transfer rate escalates with the escalation of radiation and con...
This paper investigates the convective heat and mass transfer in nanofluid flow through a porous media due to a stretching sheet subjected to magnetic field, viscous dissipation, chemical reaction and Soret effects. Two types of nanofluids, namely Cuwater and Ag-water were studied. The governing boundary layer equations are formulated and reduced to a set of ordinary differential equations using similarity transformations and then solved numerically by an explicit finite difference scheme known as the Keller box method. Numerical results were obtained for the skin friction coefficient, Nusselt number, Sherwood number as well as for the velocity, temperature and concentration profiles for selected values of the governing parameters, such as the nanoparticle volume fraction , the magnetic parameter M, porous media parameter , Eckert number Ec, Soret number Sr, Schmidt number Sc and chemical reaction parameter . Excellent validation of the present numerical results has been achieved with the earlier linearly stretching sheet problems in the literature.
PloS one, 2015
Analysis has been done to investigate the heat generation/absorption effects in a steady flow of non-Newtonian nanofluid over a surface which is stretching linearly in its own plane. An upper convected Maxwell model (UCM) has been utilized as the non-Newtonian fluid model in view of the fact that it can predict relaxation time phenomenon which the Newtonian model cannot. Behavior of the relaxations phenomenon has been presented in terms of Deborah number. Transport phenomenon with convective cooling process has been analyzed. Brownian motion "Db" and thermophoresis effects "Dt" occur in the transport equations. The momentum, energy and nanoparticle concentration profiles are examined with respect to the involved rheological parameters namely the Deborah number, source/sink parameter, the Brownian motion parameters, thermophoresis parameter and Biot number. Both numerical and analytic solutions are presented and found in nice agreement. Comparison with the publish...
Convective Heat Transfer and MHD Viscoelastic Nanofluid Flow Induced by a Stretching Sheet
International Journal of Applied and Computational Mathematics, 2015
In this paper we have investigated the viscoelastic nano-fluid flow and heat transfer over a stretching sheet in the presence of magnetic field. The effects of Brownian motion and thermophoresis are taken into account. The flow is governed by the viscoelastic non-Newtonian fluid obeying Walter's liquid B fluid model. The combined effects of stratifications (thermal and concentration) in the mixed convective flow past over a stretching surface is analyzed. The non-linear boundary layer equations together with the boundary conditions are reduced to a system of coupled non-linear ordinary differential equations by using the similarity transformations. The transformed equations are solved numerically by developing a finite difference scheme along with the Newton's linearization technique. The study shows that the thermal boundary layer thickness appreciably increases with the increasing effects of Brownian motion, thermophoresis and magnetic field strength. However, the viscoelasticity of the nanofluid has reducing effect on thermal boundary layer thickness.
In this paper, the effects of thermal radiation and viscous dissipation on magnetohydrodynamic (MHD) stagnation point flow and heat transfer of nanofluids towards a stretching sheet are investigated numerically. The effects of Brownian motion and thermophoresis on the flow and heat transfer were considered. The system of partial differential equations governing the flow was reduced to a system of non linear ordinary differential equations by using similarity transformations. The transformed equations were numerically solved by an explicit finite difference scheme known as the Keller box method. The velocity, temperature, and concentration profiles were obtained and utilized to compute the skin-friction coefficient, the local Nusselt number, and local Sherwood number for different values of the governing parameters. The study reveals that the skin friction and heat transfer rate at the surface increases with the magnetic parameter when the free stream velocity exceeds the stretching velocity, i.e., > 1, and decrease when < 1. It is also found that the local Sherwood number increases with velocity ratio parameter, Brownian motion parameter, and Lewis number. In addition to this, the thermal boundary layer become thicker by increasing the value of the Eckert number and becomes thinner by increasing the thermal radiation parameter. A comparison of the numerical results of the present study with previously published data revealed an excellent agreement.
Engineering and Applied Science Letters
In this paper, finite difference method is used to study the combined effects of thermal radiation, inclined magnetic field and temperature-dependent internal heat generation on unsteady two-dimensional flow and heat transfer analysis of dissipative Casson-Carreau nanofluid over a stretching sheet embedded in a porous medium. In the study, kerosene is used as the base fluid which is embedded with the silver (Ag) and copper (Cu) nanoparticles. Also, effects of other pertinent parameters on the flow and heat transfer characteristics of the Casson-Carreau nanofluids are investigated and discussed. From the results, it is established that the temperature field and the thermal boundary layers of Ag-Kerosene nanofluid are highly effective when compared with the Cu-Kerosene nanofluid. Heat transfer rate is enhanced by increasing power-law index and unsteadiness parameter. Skin friction coefficient and local Nusselt number can be reduced by magnetic field parameter and they can be enhanced by increasing the aligned angle. Friction factor is depreciated and the rate of heat transfer increases by increasing the Weissenberg number. A very good agreement is established between the results of the present study and the previous results. The present analysis can help in expanding the understanding of the thermo-fluidic behaviour of the Casson-Carreau nanofluid over a stretching sheet.
Applied Mathematics and Computation, 2014
In this paper, the effects of thermal radiation and viscous dissipation on a stagnation point flow and heat transfer over a flat stretching/shrinking surface in nanofluids are analyzed. The effects of suction/injection are also considered. Using a similarity transformation, the governing equations are transformed into a system of nonlinear ordinary differential equations. The resulting system is then solved numerically by Runge-Kutta-Fehlberg method with shooting technique. It is observed that the local Nusselt number increases with increment in the suction/injection parameter for stretching sheet whereas reverse effect is observed for shrinking sheet. It is found that skin-friction coefficient increases for both stretching/shrinking sheet with increase in volume fraction of the nanoparticles.
Journal of the Egyptian Mathematical Society, 2019
This work analyzes the unsteady two-dimensional nanofluid flow over a vertical stretching permeable surface in the presence of an inclined magnetic field and nonuniform heat source/sink. Four different types of nanoparticles, namely silver Ag, copper Cu, alumina Al 2 O 3 , and titania TiO 2 , are considered by using water as a base fluid with the Prandtl number Pr = 6.785. The governing partial differential equations are transformed to coupled non-linear ordinary differential equations by appropriate similarity transformation. Furthermore, the similarity equations are solved numerically by using the fourth-order Runge-Kutta integration scheme with Newton Raphson shooting method. A comparison of obtained numerical results is made with previously published results in some special cases, and excellent agreement is noted. Numerical results for velocity and temperature profiles as well as skin friction coefficient and local Nusselt number are discussed for various values of physical parameters. It tends to be discovered that, the magnetic field inclination angle γ has the capability to strengthens the magnetic field and reduce the velocity profile of the flow. Also, it can be found that, by using various types of nanofluids, velocity and temperature distributions change, which means that the nanofluids are important in the cooling and heating processes. The thermal boundary layer thickness is related to the increased thermal conductivity of different types of nanofluids, i.e., the minimum (maximum) value of the temperature is obtained by adding titanium oxide (silver) to the fluid as the nanoparticles.