Open AccessAn analytical study on effects of viscous dissipation and suction/injection on a steady mhd natural convection couette flow of heat generating/absorbing fluid
Author(s) -
Abiodun O. Ajibade,
Ayuba M. Umar,
Tafida M. Kabir
Publication year - 2021
Publication title -
advances in mechanical engineering/advances in mechanical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.318
H-Index - 40
eISSN - 1687-8140
pISSN - 1687-8132
DOI - 10.1177/16878140211015862
Subject(s) - couette flow , mechanics , magnetohydrodynamics , permeability (electromagnetism) , compressibility , heat transfer , porous medium , brinkman number , materials science , fluid dynamics , hartmann number , thermodynamics , physics , magnetic field , flow (mathematics) , nusselt number , magnetohydrodynamic drive , porosity , chemistry , turbulence , composite material , membrane , biochemistry , quantum mechanics , reynolds number
This work concerns a theoretical investigation on the effects of suction/injection, magnetic field, permeability of porous materials and viscous dissipation on an electrically conducting incompressible fluid passes through a vertical porous channel filled with porous materials. One of the plates moves in the flow direction while the other is stationary. The governing coupled flow equations have been solved analytically using Homotopy Perturbation Method (HPM). The influences of the flow parameters on velocity and temperature were plotted on graphs while numerical values for rate of heat transfer and shear stress on the heated and cold plates were presented in tables. Excellent agreements were found when compared with the previous works. It is noteworthy to mention that the hydrodynamic and thermodynamic distributions of the fluid increase with increase in viscous dissipation [Formula: see text]. It is also found that the shear stress decreases with increase in the magnetic field [Formula: see text] while a reverse case was observed for growing the permeability of the porous materials [Formula: see text]. It is further found that the velocity and temperature distributions decrease with increase in suction [Formula: see text].