Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach

Omowaye, Adeola John; Fagbade, A.I.; Ajayi, Adekunle

doi:10.1016/j.jnnms.2015.08.001

Cited by 26 publications

(15 citation statements)

References 21 publications

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“…When the driving potential and fluxes are combined, the flow of heat and mass transfer becomes complex in a moving fluid. The Soret effects occurred due to the diffusion flux, which is a function of temperature gradient whereas Dufour effects are due to the heat flux as a function of the potential gradient 37‐39 . The suction/injection condition at the surface gives a significant impact on the boundary layer flow 40 .…”

Section: Introductionmentioning

confidence: 99%

MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet

et al. 2020

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In the present paper, we have discussed the thermosolutal Marangoni force acting on the electrically conducting Casson fluid flow over a permeable horizontal stretching surface. It is presumed that the condition at the interfaces is influenced by the surface tension, which is proportional to the temperature and concentration profiles. At the interface, both concentration and temperature are heated in such a way that they are quadratic functions in x. Furthermore, we have introduced the magnetic field in the transverse direction of the fluid flow along with heat generation/absorption, thermal radiation, viscous dissipation, and first-order chemical effect with heat and mass flux into the present system. Similarity transformations have been used to convert the system of the nonlinear partial differential equations into a system of nonlinear ordinary differential equations (ODEs). The reduced ODEs are then solved using the MATLAB program bvp4c, which is based on the fourth-order Runge-Kutta and shooting method.The impact of various pertinent flow parameters on the flow field, temperature, and species concentration has been studied through graphs. To know the characteristics of shear stress, heat and mass rate near the boundary, numerical values of them are also calculated and given in the tabular form. The resultsshow that the momentum boundary layer's thickness is getting thicker with an increase in solutal surface tension ratio, while its opposite trends have been observed in the thermal boundary layer region, this is due to the Marangoni effect. This Marangoni effect is very much important in the field of melting metals, crystal growth, welding, and electron beam. K E Y W O R D S Casson fluid, chemical effect, heat generation, Marangoni force, Soret and Dufour effect, thermal radiation, viscous dissipation

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Section: Introductionmentioning

confidence: 99%

MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet

et al. 2020

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“…Their conclusion was that concentration gradients can also produce an energy flux. Using Homotopy Analysis Method, the authors in [32] solved the system of governing equations from the steady 2-D flow over a long moving porous wall containing an electrically conducting fluid in a permeable medium. The authors in [33] presented an analytical study on Soret and Dufour effects of a second grade fluid flow along a stretching cylinder taking into account the effect of thermal radiation.…”

Section: Introductionmentioning

confidence: 99%

Unsteady free convection and mass transfer flow past an impulsively started vertical plate with Soret and Dufour effects: an analytical approach

Jha

Gambo

2019

SN Appl. Sci.

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This research presents an analytical solution of unsteady free convection and mass transfer flow past a vertical plate with Soret and Dufour effects. The dimensionless system of governing equations is solved analytically with appropriate initial and boundary conditions. The accuracy of the analytical method is ensured by obtaining numerical solutions with PDEPE of MATLAB and comparing with the analytical results. Perturbation method is first adopted to decouple the system of equations that arise as a result of coupling Soret and Dufour effects. Laplace Transform Technique is then applied to solve the system. The expressions for velocity, temperature, concentration, Skin-friction, Nuselt and Sherwood numbers are obtained. In the course of discussions, the effects of main parameters are described. It is observed that increase in Soret number reduces the temperature while increasing the velocity and concentration. Moreover, Soret effect is more significant on the concentration than on the temperature. Similarly, the Dufour parameter causes the temperature and velocity to increase while the concentration decreases and the effect is more significant on the temperature than on the concentration. However, there is no significant difference on the effects of Dufour and Soret parameters on the velocity. The velocity, temperature and concentration profiles are presented graphically for Pr = 0.71 and Sc = 0.78 as well as for arbitrary values of other parameters.

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“…Sort effect is utilized in the separation of an isotope as well as in mixture between gases that has light molecular weight (H 2 , He) and the medium molecular weight (N 2 , air). Omowaye et al [11] considered Dufour along with Soret influence in their study. Their coupled ordinary differential equations are solved by employing the homotopy analysis method.…”

Section: Introductionmentioning

confidence: 99%

Soret–Dufour mechanism on an electrically conducting nanofluid flow past a semi‐infinite porous plate with buoyancy force and chemical reaction influence

Falodun

Ayegbusi

2020

Numerical Methods Partial

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This study explored the flow of an electrically conducting and chemically reacting nanofluid over a semi‐infinite porous vertical plate under the influence of Soret–Dufour and nonlinear buoyancy force. The flow analysis consists of partial differential equations (PDEs). These equations were nondimensionalized via nondimensional quantities into coupled nonlinear PDE and solved numerically using spectral relaxation method. Numerical computations of all flow parameters for velocity, temperature along with concentration are presented in diagrams. The result shows that an upsurge in the value of the radiation parameter enhances both velocities along with temperature profiles, respectively. This is true because the temperature at the plate is much when there is an increase in the radiation parameter. The present results were compared with the previously published result and were found to be in excellent agreement.

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Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach

Cited by 26 publications

References 21 publications

MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet

MHD Double‐diffusive thermosolutal Marangoni convection non‐Newtonian Casson fluid flow over a permeable stretchable sheet

Unsteady free convection and mass transfer flow past an impulsively started vertical plate with Soret and Dufour effects: an analytical approach

Soret–Dufour mechanism on an electrically conducting nanofluid flow past a semi‐infinite porous plate with buoyancy force and chemical reaction influence

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