Mixed convection flow in a vertical channel in the presence of wall conduction, variable thermal conductivity and viscosity

Abstract

This study theoretically investigates the effects of variable viscosity, thermal conductivity and wall conduction on a steady mixed convection flow of heat generating/absorbing fluid passes through a vertical channel. One of the channel plates moves with a constant velocity while the other is stationary. The governing flow equations are solved analytically using homotopy perturbation method (HPM). The effects of the thermophysical and hydrodynamics parameters are captured in graphs and tables. It has been observed that, both the velocity and temperature distributions decrease with increase in viscosity and boundary plate thickness near the heated plate while a reverse cases were observed near the cold plate. Increase in thermal conductivity ε decreases the fluid flow near the heated plate. When the boundary plate thickness is increased, the critical value of Gre to onset the reverse flow increases while increase in thermal conductivity reduces the critical value of Gre. It’s also noticed that the skin friction and rate of heat transfer at the heated plate decrease with increase in boundary plate thickness d.

Simultaneous effects of viscous and Darcy dissipation on mixed convection flow in an annulus partially filled with porous material: Analytical approach

“…On the other hand, Jha et al 25 found that for mixed convection parameter values greater than a critical threshold, reversed flow occurs at the inner surface of the outer cylinder. Ajibade and Umar 26 investigated the effects of viscous dissipation and boundary plate thickness on a mixed convection flow with variable thermal conductivity and viscosity. On vertical parallel plates, Muhammad and Ajibade 27 investigated the effects of coupled convection and viscous dissipation.…”

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

“…A circular microchannel placed vertically was considered by Jha et al 24 for the examination of natural convection flow subject to temperature‐sensitive viscosity. The effect of varying thermal conductivity and viscosity on a mixed convection flow in a channel placed vertically were theoretically explored by Azibade and Umar 25 . A number of researchers, including Abu‐Nada, 26 Ajibade and Ojeagbase, 27 Wang et al, 28 and others, delved into convective flow with temperature‐sensitive viscosity.…”

“…The effect of varying thermal conductivity and viscosity on a mixed convection flow in a channel placed vertically were theoretically explored by Azibade and Umar. 25 A number of researchers, including Abu-Nada, 26 Ajibade and Ojeagbase, 27 Wang et al, 28 and others, delved into convective flow with temperature-sensitive viscosity. The impacts of changing density, magnetic field effects, and thermal radiation on the heat transmission and fluid flow upon a tilted moving surface were examined by Abbas et al 29 According to the aforementioned review, earlier investigations on the issue at hand relied on natural convection in viscous incompressible fluid flow with linear dependency of density and viscosity on temperature.…”

Exploration of the dynamics of non-Newtonian Casson fluid subject to viscous dissipation and Joule heating between parallel walls due to buoyancy forces and pressure

“…The deviation in viscosity and thermal conductivity on the mixed convective transportation of incompressible viscous fluid in a vertical channel was analyzed by Ajibade and Umar. 34 Manjunatha et al 35 considered a two-dimensional channel to analyze the impact of variable transportation properties under the impression of surface conditions. Again, Ajibade and Tafida 36 inspect the impact of variable transportation properties on the mixed convective coquette motion in a vertical channel.…”