On MHD unsteady reactive Couette flow with heat transfer and variable properties

Abstract

This study is devoted to investigate the effect of magnetic field on a reactive unsteady generalized Couette flow with temperature dependent viscosity and thermal conductivity. It is assumed that conducting incompressible fluid is subjected to an exothermic reaction under Arrhenius kinetics, neglecting the consumption of the material. The model nonlinear differential equations governing the transient momentum and energy balance are obtained and tackled numerically using a semi-discretization finite difference technique coupled with Runge-Kutta Fehlberg integration scheme. Important properties of the velocity and temperature fields including thermal stability conditions are presented graphically and discussed quantitatively. Keywords

Aspects of Arrhenius kinetics and Hall currents on gyratory Couette flow of magnetized ethylene glycol containing bi‐hybridized nanomaterials

“…The velocity components ($${u}_{1}$$, $${w}_{1}$$) can be determined by slitting into real and imaginary parts of (22). The problem modeled by Makinde and Franks 64 is retrieved from our modeled problem by substituting $${K}^{2}=0$$ (i.e., rigid frame of reference).…”

“…The thermal transport mechanism in a Couette flow of a chemically reactive power-law fluid inside a cylindrical annulus was reported by Makinde. 63 Makinde and Franks 64 inspected the impressive role of the activation energy on the unsteady Couette stream by considering variable fluid properties under a magnetic scenario. Das et al 65 reported the importance of Arrhenius kinetics in a time-sensitive gyrating Couette movement in a magnetic ambiance.…”

Transient stage comparison of Couette flow under step shear stress and step velocity boundary conditions

“…Unsteady Couette flow through of a viscoelastic fluid through a parallel plate channel filled with a porous medium was studied by Attia et al [17] . Makinde and Franks [18] studied transient reactive MHD Couette flow with temperature dependent viscosity and thermal conductivity. Boundary conditions of all above researches were either constant or time-dependent velocity at the moving wall.…”