Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

Abstract

Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.

Variable Viscosity and Chemical Reaction Effects on MHD Flow of Radiative Fluid Past a Stretching Sheet in the Presence of Joule Heating

“…where Bo denotes magnetic field strength, u represents velocity component along x direction, v is the velocity component along y direction, ρ∞ is the density of the fluid, µ∞ is the fluid dynamic viscosity, κ is the fluid thermal conductivity, ν∞ is the kinematic viscosity, σ denotes fluid electrical conductivity, cp is the fluid specific heat at constant pressure, uw is velocity with which the plate is moving, K * c is the rate of chemical reaction and D signifies mass diffusivity. qr represents radiative heat flux which based on Rosseland approximation [21] is expressed as…”

“…Recently, Khan et al [20] investigated heat generation and natural convection effects on incompressible nanofluids along a sphere in the presence of Brownian motion and thermophoresis. Anwar et al [21] investigated MHD free convective flow of an optically thick Casson fluid in the presence of heat generation. Oyelami et al [22] presented numerical solutions of chemical reaction parameter and radiation parameter effects on natural convection MHD flow on non-Newtonian fluid between porous plates.…”

A new approach for the generalized fractional Casson fluid model with Newtonian heating described by the modified Riemann–Liouville fractional operator

“…[15][16][17][18][19][20][21][22][23][24][25] Recently, unsteady incompressible magnetohydrodynamics (MHD) flow of Casson fluid, subjected to ramped velocity and ramped temperature conditions at a vertical wall placed in the porous medium is studied in. 26 The concept of Fractional differential equations is considered as an alternative tool to model nonlinear differential equations. The history of fractional calculus is mainly based on the article by, Miller and Ross 27 and recent review articles.…”

Heat Transfer of Nanomaterial over an Infinite Disk with Marangoni Convection: A Modified Fourier’s Heat Flux Model for Solar Thermal System Applications

“…Sohail et al [20] discussed the momentum, concentration, and thermal diffusion in the surface layer magneto-flow of the Casson material in an elongated plate. Other studies related to the Casson material can be found in ( [21][22][23]).…”