Thermal diffusion effect on unsteady MHD free convective flow past a semi-infinite exponentially accelerated vertical plate in a porous medium

Sarma, Subhrajit; Ahmed, Nazibuddin

doi:10.1139/cjp-2021-0361

Cited by 5 publications

(3 citation statements)

References 32 publications

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“…They showed that the effect of thermophoresis could be quite significant in appropriate situations and that the number of undulations could essentially modify the heat transfer rate and fluid flow intensity. More recently, Sarma and Ahmed [18] investigated the thermal diffusion effect on unsteady MHD free convective flow past a semiinfinite exponentially accelerated vertical plate in a porous medium. The influence of physical parameters on flow and transport characteristics was analyzed with suitable graphs.…”

Section: Introductionmentioning

confidence: 99%

Analytical, numerical and scale analysis study of thermal diffusion effect on free convection boundary layer flows in a slender porous layer

ER-RAKI,

HASNAOUI,

HASNAOUI

et al. 2023

Proc. Rom. Acad. Ser. A - Math. Phys. Tech. Sci. Inf. Sci.

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This paper reports an analytical, numerical and scale analysis study of free convective heat and mass transfer flows coupled with thermal diffusion effect in a slender vertical porous cavity subjected to cooperating lateral temperature and concentration gradients. The top and bottom walls of the cavity are assumed to be adiabatic and impermeable to mass transfer. This study aims to analyze the different hydrodynamic, thermal and solutal behaviors developed in laminar boundary layer flow regime reached at high Rayleigh numbers. Based on the parallel flow approximation, an analytical solution of the problem is derived in the extreme case of heat-driven (N≪1) free convection. The obtained analytical results are validated numerically by generating the solutions of the full governing differential equations by means of finite-difference method (FDM). To estimate the order of magnitudes involved in the boundary layer regime, a scale analysis of the conservation equations is performed. The order of magnitudes of boundary layer thickness, Nusselt and Sherwood numbers are derived in this study. For all these quantities, the trends predicted by the scaling law theory are found to be in good agreement with those of the parallel flow approach. The combined effects of Rayleigh and Soret numbers on the boundary layer thickness, flow intensity and heat and mass transfers are illustrated graphically for representative values of N, Le and A_r, and the main results are highlighted and discussed.

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Section: Introductionmentioning

confidence: 99%

Analytical, numerical and scale analysis study of thermal diffusion effect on free convection boundary layer flows in a slender porous layer

ER-RAKI,

HASNAOUI,

HASNAOUI

et al. 2023

Proc. Rom. Acad. Ser. A - Math. Phys. Tech. Sci. Inf. Sci.

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show abstract

“…In recent years several analytical methods for solving the non-linear differential problem have been used to model the heat and mass transfer in a viscous fluid/nanofluid flow [1][2][3][4][5][6][7] were applied.…”

Section: Introductionmentioning

confidence: 99%

“…The mass transfer of a chemically reactive species and the flow of MHD over a stretching plate subjected to an inclined magnetic field were examined by Maranna et al [2]. Sarma et al [3] explored the exact solution to the problem of a free convective, radiative, viscous, chemically reacting, heat absorbing, incompressible, and unsteady MHD flow using the Laplace transformation technique.…”

Section: Introductionmentioning

confidence: 99%

Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow

2023

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The partial slip effects for radiative convective nanofluid flow over a stretching sheet in porous medium are analytically explored in this work. The Navier–Stokes equations, the momentum and the energy equations are converted into a set of non-linear ODEs by the similarity transformation. Using the modified optimal homotopy asymptotic method (OHAM), the resulting non-linear ODEs are analytically approximately solved. The impact of various parameters, such as: the velocity exponential factor n, the wall thickness parameter γ, the dimensionless velocity slip parameter δ1, the Prandtl number Pr, the radiation parameter R, and the dimensionless temperature jump parameter δ2, on the behaviour of the mass and heat transfer is presented. The influence of these parameters is tabular and graphically presented. An excellent agreement between the approximate analytical solution and the corresponding numerical solution is highlighted. The results obtained confirm that modified OHAM is a useful and competitive mathematical tool to explore a large class of non-linear problems with applications in various fields of science and engineering.

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Laminar boundary layers in three‐dimensional MHD natural convective flow past a semi‐infinite vertical plate with variable sinusoidal suction

Ahmed,

Bormudoi,

Gohain

2024

Z Angew Math Mech

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The primary goal of this study is to investigate how the diffusion‐thermo and thermo‐diffusion affect a three‐dimensional hydromagnetic natural convective flow of a radiating fluid past a uniformly moving isothermal and isosolutal semi‐infinite vertical plate subjected to a sinusoidal suction velocity. The asymptotic series expansion method is adopted to solve the equations governing the flow model and to find the analytical solutions. The effect of variable suction on the flow and transport characteristics is mainly highlighted in the study. Both the diffusion‐thermo and thermo‐diffusion effects improve the fluid velocity.

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Thermal diffusion effect on unsteady MHD free convective flow past a semi-infinite exponentially accelerated vertical plate in a porous medium

Cited by 5 publications

References 32 publications

Analytical, numerical and scale analysis study of thermal diffusion effect on free convection boundary layer flows in a slender porous layer

Analytical, numerical and scale analysis study of thermal diffusion effect on free convection boundary layer flows in a slender porous layer

Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow

Laminar boundary layers in three‐dimensional MHD natural convective flow past a semi‐infinite vertical plate with variable sinusoidal suction

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