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

Abiodun O Ajibade,Ayuba M Umar

doi:10.1515/nleng-2020-0026

Abstract

AbstractThis 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.

Highlights

Heat transfer and uid ow have been matters of research for many years due to their applications in modern industries
This study theoretically investigates the e ects of variable viscosity, thermal conductivity and wall conduction on a steady mixed convection ow of heat generating/absorbing uid passes through a vertical channel
The pressure gradient required to drive the ow to a prescribed mass ux is presented in table 1 while the critical values of the mixed convection parameter after which ow reversal is achieved near the stationary plate is given in table 2

Summary

Introduction

Heat transfer and uid ow have been matters of research for many years due to their applications in modern industries. Fluid ows are captured in many mathematical geometries. Such ows could be laminar or turbulent. Fluid dynamics has so many applications in lubrication industries, gas turbine power plant, polymer technology, food processing industries, plasma power plant, thermal and insulating engineering, MHD power generators etc. These uid ows are driven either by natural, forced or mixed convection. This work is licensed under the Creative Commons

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