Effects of Heat Generation/Absorption on Magnetohydrodynamics Flow Over a Vertical Plate with Convective Boundary Condition

European Journal of Computational Mechanics ◽

10.13052/ejcm2642-2085.30466 ◽

2021 ◽

Author(s):

Bayo Johnson Akinbo ◽

Bakai Ishola Olajuwon

Keyword(s):

Heat Generation ◽

Vertical Plate ◽

Mhd Flow ◽

Convective Boundary Condition ◽

Physical Parameters ◽

Weighted Residual Method ◽

Convective Boundary ◽

Linear Ordinary Differential Equations ◽

Heat Parameter ◽

Medium Porosity

Heat generation effect in a steady two-dimensional magnetohydrodynamics (MHD) flow over a moving vertical plate with a medium porosity has been studied. By similarity transformation variables, the coupled non-linear ordinary differential equations describing the model are obtained. The resulting equation is then solved, using Galerkin Weighted Residual Method (GWRM), where the effect of heat generation, Magnetic Parameter as well as other physical parameters encountered were examined and discussed. Some of the major findings were that increase in heat generation and convective heat parameter enhances the plate surface temperature as well as temperature field which allows the thermal effect to penetrate deeper into the quiescent fluid.

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Entropy Generation on Maxwell Fluid Flow Past an Inclined Stretching Plate with Slip and Convective Surface Conditon: Darcy-Forchheimer Model

Nano Hybrids and Composites ◽

10.4028/www.scientific.net/nhc.26.62 ◽

2019 ◽

Vol 26 ◽

pp. 62-83

Author(s):

Tunde Abdulkadir Yusuf ◽

Jacob Abiodun Gbadeyan

Keyword(s):

Porous Medium ◽

Differential Equations ◽

Entropy Generation ◽

Mhd Flow ◽

Maxwell Fluid ◽

Entropy Generation Rate ◽

Physical Parameters ◽

Convective Boundary ◽

Linear Ordinary Differential Equations ◽

Non Linear

In this study the effect of entropy generation on two dimensional magnetohydrodynamic (MHD) flow of a Maxwell fluid over an inclined stretching sheet embedded in a non-Darcian porous medium with velocity slip and convective boundary condition is investigated. Darcy-Forchheimer based model was employed to describe the flow in the porous medium. The non-linear thermal radiation is also taken into account. Similarity transformation is used to convert the non-linear partial differential equations to a system of non-linear ordinary differential equations. The resulting transformed equations are then solved using the Homotopy analysis method (HAM). Influence of various physical parameters on the dimensionless velocity profile, temperature profile and entropy generation are shown graphically and discussed in detail while the effects of these physical parameters on velocity gradient and temperature gradient are aided with the help of Table. Furthermore, comparison of some limiting cases of this model was made with existing results. The results obtained are found to be in good agreement with previously published results. Moreover, increase in local inertial coefficient parameter is found to decrease the entropy generation rate.

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Similarity Solution for Free Convection Flow of a Micropolar Fluid under Convective Boundary Condition via Lie Scaling Group Transformations

Advances in High Energy Physics ◽

10.1155/2015/650813 ◽

2015 ◽

Vol 2015 ◽

pp. 1-16 ◽

Cited By ~ 9

Author(s):

Ch. RamReddy ◽

T. Pradeepa ◽

D. Srinivasacharya

Keyword(s):

Boundary Condition ◽

Micropolar Fluid ◽

Vertical Plate ◽

Convective Boundary Condition ◽

Convection Flow ◽

Physical Parameters ◽

Convective Boundary ◽

Special Cases ◽

Scaling Group Of Transformations ◽

Scaling Group

The free convective flow of an incompressible micropolar fluid along permeable vertical plate under the convective boundary condition is investigated. The Lie scaling group of transformations is applied to get the similarity representation for the system of partial differential equations and then the resulting systems of equations are solved using spectral quasi-linearisation method. A quantitative comparison of the numerical results is made with previously published results for special cases and the results are found to be in good agreement. The results of the physical parameters on the developments of flow, temperature, concentration, skinfriction, wall couple stress, heat transfer, and mass transfer characteristics along vertical plate are given and the salient features are discussed.

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