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Book ChapterDOI

Cross Diffusion Effects on MHD Convection of Casson-Williamson Fluid over a Stretching Surface with Radiation and Chemical Reaction

TL;DR: In this article, the thermal diffusion and diffusion-thermo effects on radiative mixed convective flow and heat transfer of Casson-Williamson fluid over a stretching surface are examined in the presence of uniform external magnetic field.
Abstract: The thermal diffusion and diffusion-thermo effects on radiative mixed convective flow and heat transfer of Casson-Williamson fluid over a stretching surface are examined in the presence of uniform external magnetic field. The thermal radiation and chemical reaction effects are included in the study. This physical model is mathematically modelled by a set of nonlinear partial differential equations with boundary conditions. The governing system of equations is reformed into ordinary differential equations with the help of similarity variables, and then they are solved using homotopy analysis method. The concentration profile increases on increasing the dufour parameter, and the temperature profile increases on increasing the radiation parameter.
Citations
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Journal ArticleDOI
17 Jun 2021
TL;DR: In this article, the flow of Casson-Williamson fluid on a stretching surface is considered for the study of the movement of fluid under the effect of external magnetic field, thermal radiation and chemica...
Abstract: The flow of Casson–Williamson fluid on a stretching surface is considered for the study. The movement of fluid is examined under the effect of external magnetic field, thermal radiation and chemica...

26 citations

Journal ArticleDOI
TL;DR: In this article , the effect of multiple slips and inclined magnetic fields on chemically reacting Casson-Williamson with Buongiorno modeled nanofluid flow past a permeable stretching surface was highlighted.
Abstract: The present research paper highlights the effect of multiple slips and inclined magnetic fields on chemically reacting Casson-Williamson with Buongiorno modeled nanofluid flow past a permeable stretching surface. Considered physical factors associated with heat transfer are viscous dissipation, Joule's heating, radiation, and double diffusion effects. The ordinary differential equations (ODEs) are formulated from governing system of highly nonlinear Partial differential equations (PDEs) by a suitable implementation of similarity invariants. The numerical results are obtained by programming the resulting equations in MATLAB software via Runge-Kutta (R-K) fourth-order technique along with the shooting scheme. The graphical illustration provides the behavior of velocity, temperature, and concentration on different non-dimensional parameters. It is worth to notice the slip parameters are greatly analogs with various physical properties of the flow field. The effect of a magnetic parameter ( 1 = M = 5 ), Casson parameter ( 0.0005 = β < 1 ), Williamson parameter ( 1 = W e < 4 ), velocity slip effect ( 0.01 = δ = 0.3 ), and the inclination ( π / 20 = α = π / 2 ) on axial velocity are shown graphically. The outstanding agreement is observed after a comparison of numerical outcomes with previously published work. The applied magnetic field and thermal radiation insert more energy into the system which improves the thermal boundary layer.

25 citations

Journal ArticleDOI
16 Oct 2021
TL;DR: In this paper, the authors dealt with chemically reacting unsteady magnetohydrodynamic Maxwell nanofluid flow past an inclined permeable stretching surface embedded in a porous medium with thermal radiation.
Abstract: The present work deals with chemically reacting unsteady magnetohydrodynamic Maxwell nanofluid flow past an inclined permeable stretching surface embedded in a porous medium with thermal radiation....

11 citations

Journal ArticleDOI
TL;DR: In this paper, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported.
Abstract: In this investigation, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported. The robust numerical method called the Galerkin finite element method is applied to solve the proposed fluid model. We applied grid-invariance test to approve the convergence of the series solution. The effect of the various pertinent variables on velocity, angular velocity, temperature, concentration, local skin friction, local wall couple stress, local Nusselt number, and local Sherwood number is analyzed in both graphical and tabular forms. The range of the major relevant parameters used for analysis of the present study was adopted from different existing literatures by taking into consideration the history of the parameters and is given by The result obtained in this study is compared with that in the available literatures to confirm the validity of the present numerical method. Our result shows that the heat and mass transfer in the flow region of micropolar couple stress fluid can be enhanced by boosting the radiation parameters.

2 citations


Cites background from "Cross Diffusion Effects on MHD Conv..."

  • ...[30] forwarded the concept of cross diffusion effects on MHD convection of Casson-Williamson fluid past a stretching surface with radiation and chemical reaction....

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References
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Journal ArticleDOI
TL;DR: In this paper, the effect of mass transfer in the magnetohydrodynamic flow of a Casson fluid over a porous stretching sheet is addressed in the presence of a chemical reaction.
Abstract: Effect of mass transfer in the magnetohydrodynamic flow of a Casson fluid over a porous stretching sheet is addressed in the presence of a chemical reaction. A series solution for the resulting nonlinear flow is computed. The skin friction coefficient and local Sherwood number are analyzed through numerical values for various parameters of interest. The velocity and concentration fields are illustrated for several pertinent flow parameters. We observed that the Casson parameter and Hartman number have similar effects on the velocity in a qualitative sense. We further analyzed that the concentration profile decreases rapidly in comparison to the fluid velocity when we increased the values of the suction parameter.

137 citations

Journal ArticleDOI
TL;DR: In this paper, the authors studied the flow, heat and mass transfer characteristics in the unsteady free convective flow of an incompressible viscoelastic fluid over a moving vertical cone and a flat plate in the presence of magnetic field and higher order chemical reaction.

65 citations

Journal ArticleDOI
TL;DR: In this paper, the authors examined the convective heat transfer of nanofluid past a wedge subject to first-order chemical reaction, heat generation/absorption and suction effects.
Abstract: The aim of the present study is to examine the convective heat transfer of nanofluid past a wedge subject to first-order chemical reaction, heat generation/absorption and suction effects. The influence of wedge angle parameter, thermophoresis, Dufour and Soret type diffusivity are included. The local similarity transformation is applied to convert the governing nonlinear partial differential equations into ordinary differential equations. Shooting method integrated with fourth-order Runge-Kutta method is used to solve the ordinary differential equations. The skin friction, heat and mass transfer rates as well as the effects of various parameters on velocity, temperature and solutal concentration profiles are analyzed. The results indicate that when the chemical reaction parameter increases, the heat transfer coefficient increases while the mass transfer coefficient decreases. The effect of chemical reaction parameter is very important in solutal concentration field compared to velocity and temperature profiles since it decreases the solutal concentration of the nanoparticle.

64 citations

Journal ArticleDOI
TL;DR: In this paper, the Soret and Dufour effects on the double-diffusive convective boundary layer flow of a nanofluid past a moving wedge in the presence of suction were investigated.
Abstract: Purpose The purpose of this study is to investigate the Soret and Dufour effects on the double-diffusive convective boundary layer flow of a nanofluid past a moving wedge in the presence of suction. Design/methodology/approach The similarity transformation is applied to convert the governing nonlinear partial differential equations into ordinary differential equations. Then, they are solved numerically by the fourth-order Runge–Kutta–Gill method along with the shooting technique and the Newton–Raphson method. In addition, the ordinary differential equations are also analytically solved by the homotopy analysis method. Findings The results for dimensionless velocity, temperature, solutal concentration and nanoparticle volume fraction profiles, as well as local skin friction coefficient and local Nusselt and local Sherwood numbers are presented through the plots for various combinations of pertinent parameters involved in the study. The heat transfer rate increases on increasing the Soret parameter and it decreases on increasing the Dufour parameter. The mass transfer behaves oppositely to heat transfer. Practical implication In engineering applications, a wedge is used to hold objects in place, such as engine parts in the gate valves. A gate valve is the valve that opens by lifting a wedge-shaped disc to control the timing and quantity of fluid flow into an engine. Originality/value No such investigation is available in literature, and therefore, the results obtained are novel.

62 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the Newtonian heating and slip effect on mixed convective flow near a stagnation point in a porous medium with thermal radiation in the presence of magnetohydrodynamic (MHD), heat generation/absorption and chemical reaction.
Abstract: Purpose The purpose of this paper is to investigate the Newtonian heating and slip effect on mixed convective flow near a stagnation point in a porous medium with thermal radiation in the presence of magnetohydrodynamic (MHD), heat generation/absorption and chemical reaction. Design/methodology/approach The governing nonlinear coupled equations are converted into ordinary differential equations by similarity transformation. These equations are solved numerically using a Runge–Kutta–Fehlberg method with shooting technique and analytically using the homotopy analysis method (HAM). Findings The effects of different parameters on the fluid flow and heat transfer are investigated. It is found that the velocity and temperature profiles increase on an increase in the Biot number. The velocity and concentration profiles increase on decreasing the chemical reaction parameter. Practical implications This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering. Originality/value The two-dimensional boundary layer flow over a vertical plate with slip and convective boundary conditions near the stagnation-point is analysed in the presence of magnetic field, radiation and heat generation/absorption. This paper is helpful to the engineers and scientists in the field of thermal and manufacturing engineering.

44 citations