Hall effects on MHD couple stress fluid flow through a vertical microchannel subjected to heat generation: A numerical study

Abstract

The present study analyzes the irreversibility in an electrically conducting couple stress fluid between two vertical channel plates with the aspects of exponential space and temperature-dependent, radiative heat flux, heat generation, and Joule heating. A reduced system of the governing equations is obtained via applying suitable nondimensional variables. To determine the solutions of velocity, thermal field, irreversibility, and irreversibility ratio, the Runge-Kutta-Fehlberg method along with the shooting technique has been employed. The various pertinent parameters that are involved in the problem have been discussed in detail through graphs. The results show that the entropy production can improve with the viscous dissipation, Joule heating, exponential space and temperature-dependent, and radiative heat flux. Furthermore, it is clear that the entropy enhances with wall ambient temperature difference, radiation parameter, and the effect is reversed with higher estimations of the fluid wall interaction parameter, couple stress parameter, and rarefaction. The present numerical results are compared with the existing results that are in good agreement.

Squeezing flow of Casson fluid between two circular plates under the impact of solar radiation

“…Besides, a numerical evaluation of MHD impact and mixed convection was presented in [19]. Oja and Gireesha utilize a numerical approach to discover the hall influences on a fluid stress couple regarding the heat production effect [20].…”

Variable Thermo-Physical and Electrical Field Influence on Nonlinear Convective Flow of non-Newtonian Fluid through an Inclined Annular Micro-Channel with Porosity

“…Also, Jha and Aina (2018a) highlighted the impact of the MHD convection flow micro-channel study. Roja and Gireesha (2020) numerically analyzed the hall effects on a couple stress fluid with heat generation impact.…”

Natural convection laminar flow between two vertical walls with a nonlinear variation of density and viscosity with temperature

“…Elbashbeshy and Ibrahim 4 reported their investigation into the flow of an incompressible viscous fluid across a vertically placed heated wall. Gireesha and colleagues [5][6][7] looked into the impact of heat generation on the convection flows of distinct fluids in vertical and circular porous channels. Zeraati Dizjeh and Brinkerhoff 8 used numerical simulation to describe and resolve the stability of the buoyancy-driven flow in a vertically placed channel with one isothermally heated boundary.…”