Numerical simulation of MHD two‐dimensional flow incorporated with joule heating and nonlinear thermal radiation

Abstract

The current investigation presents a numerical simulation of boundary layer flow with heat transfer. The study primarily emphasizes heat generation due to the influence of nonlinear thermal radiation. Moreover, the simultaneous effects of Joule heating and viscous dissipation have been incorporated for the thermal enhancement of the magnetohydrodynamics (MHD) on the convective boundary layer flow over a flat plate. Dimensional analysis is brought into use to determine the hydro and thermal boundary layer thickness for the two-dimensional flow.Subsequently, the application of the suitable similarity transformation yields a nonlinear coupled flow problem with is solved numerically with the help of the Runge-Kutta Fehlberg (RKF) method incorporated with the Shooting technique. Moreover, this theoretical study highlights the immense mechanical and aeronautical applications of thermal radiation. In view of computational findings and simulating results, linear and nonlinear thermal radiation effects can also be investigated on fluids passing through a cylinder and channels. Finally, computational data tabulated against some pertinent parameters and parametric study reveal that non-linear thermal radiation is more effective for highly viscous fluids.

Controlling factors of coating thickness of Sisko fluid in blade coating process

“…The non-linear expressions given in equations ( 25), (26), and (29) cannot be solved analytically. As a result, to find their solution, a numerical technique known as the shooting technique [38][39][40] is applied. We define the stream function 11,16 ;…”

Hall and viscous dissipation effects on mixed convective MHD heat absorbing flow due to an impulsively moving vertical porous plate with ramped surface temperature and concentration

“…Mittl [10] studied radiation upshots on MHD unsteady 2D Al 2 O 3 -water flow via parallel squeezing plates. The reputation of nonlinear radiation on MHD fluid flow with distinct physical parameters was researched by Kataria et al [11] and Hussain et al [12]. Investigation of mass transmission with chemical reactions found varied significant relevance in several hydro-metallurgical and chemical products such as food processing, catalytic-chemical reactors, production of ceramics and glassware, and experiencing endothermic or exothermic chemical reactions.…”

“…[11] and Hussain et al. [12]. Investigation of mass transmission with chemical reactions found varied significant relevance in several hydro‐metallurgical and chemical products such as food processing, catalytic‐chemical reactors, production of ceramics and glassware, and experiencing endothermic or exothermic chemical reactions.…”

Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct

“…[14], and the references therein). In a more recent study [15], the MHD model has been considered by a similarity transformation together with the Runge–Kutta– Fehlberg method incorporated with the shooting strategy.…”