Abstract
This paper compacts with an exact analysis of radiative effects on the magnetohydrodynamic (MHD) free convection flow of an electrically conducting incompressible viscous fluid over a vertical plate. The non-dimensional continuity, momentum, and energy equations are solved using appropriate transformation. The dimensionless momentum and energy equations are solved numerically through an explicit finite difference method. The stability and convergence analysis also discussed. Finally, outcomes of the parameters on velocity and temperature profiles are displayed graphically and qualitatively.
Highlights
Due to the plethora of applications in astronomical technology and processes entangling high temperatures, the payoffs of thermal radiation on the free convection flows have been drawing the consideration of enormous research interest
In 2003, Cookey et al [9] well-acquainted the influence of viscous dissipation and radiation on unsteady MHD free-convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction
In 2009, Deka and Neog [17] [18] reviewed the combined payoffs of thermal radiation and chemical reaction on free convection flow past a vertical plate in a porous medium and with MHD
Summary
Due to the plethora of applications in astronomical technology and processes entangling high temperatures, the payoffs of thermal radiation on the free convection flows have been drawing the consideration of enormous research interest. In 2005, Makinde [12] studied the free-convection flow with thermal radiation and mass transfer past a moving vertical porous plate. In 2014, Samad and Saha [25] examined the two-dimensional heat and mass transfer free convection flow of an MHD Non-Newtonian power-law fluid along with a stretching sheet in the presence of a magnetic field and assuming simplified thermal radiation. In 2015, Nagamanemma et al [27] analyzed unsteady MHD free convective heat and mass transfer flow near a moving vertical porous plate with radiation and thermo diffusion effects. Mathematical Model and Governing Equations Let us consider unsteady MHD free convection flow with electrically conducting incompressible viscous fluid along a vertical plate in presence of radiation. By replacing the above expression into energy Equation (3) are as follows:
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