Conjugate Effect of Radiation and Thermal Conductivity Variation on MHD Free Convection Flow for a Vertical Plate

Abstract

A numerical investigation is performed to study the effect of thermal radiation on magnetohydrodynamic (MHD) free convection flow along a vertical flat plate in presence of variable thermal conductivity in this paper. The governing equations of the flow and the boundary conditions are transformed into dimensionless form using appropriate similarity transformations and then solved employing the implicit finite difference method with Keller-box scheme. Results for the details of the velocity profiles, temperature distributions as well as the skin friction, the rate of heat transfer and surface temperature distributions are shown graphically. Results reveal that the thermal radiation is more significant in MHD natural convection flow during thermal conductivity effect is considered. To illustrate the accuracy of the present results, the results for the local skin fraction and surface temperature distribution excluding the extension effects are compared with results of Merkin and Pop designed for the fixed value of Prandtl number and a good agreement were found.

Transient MHD Thermally Radiating Free Convective Flow Past an Exponentially Moving and Rotating Isothermal Vertical Plate with Heat Generation, Reacting Species and Fluctuating Mass Diffusion Effects

“…presenting equations ( 23)- (25) in HPM form, we have ( ) , and substituting into equations ( 33) - (35), and ( 26) - (28), and equating the coefficients of the powers of p, we have…”

“…Neglecting the effects of MHD and rotation on the flow over a vertical plate, Hossain et al [26] studied the radiation effects, Chamkha [27] investigated the effects of heat absorption and thermal radiation; Seddeek [28] examined the effect of radiation and variable fluid viscosity; Abd El-Naby et al [29] looked at the effects of radiation and variable surface temperature; Ali et al [30] investigated the effect of radiation and viscous dissipation using finite difference method; Mamtha et al [31] considered radiation and mass transfer effects; Devi et al [32] examined the thermal radiation and chemical reaction effects. Other reports exist on the MHD convective flow over a vertical plate with thermal radiation but in the absence of rotation are found in Ahmed [33], Kumar et al [34], and Akhter et al [35].…”

Entropy Generation Minimization for Radiative Casson Fluid Flow through Permeable Walls and Convective Heating: A Comprehensive Numerical Investigation

“…Mansour and El-Shaer [12] presented a hydromagnetic boundary flow over a moving surface flow in a saturated porous medium. Also, Anhter et al [13] discussed the effect of thermal radiation on Mhd natural convection boundary layer flow. Modal et al [14] considered the influence of thermal radiation on MHD asymmetric stagnant-point flow.…”