COMBINED EFFECTS OF VARIABLE VISCOSITY, VISCOUS DISSIPATION AND THERMAL RADIATION ON UNSTEADY NATURAL CONVECTION COUETTE FLOW THROUGH A VERTICAL POROUS CHANNEL

Yusuf A Bichi ,Abiodun O Ajibade

doi:10.33003/fjs-2020-0402-208

Abstract

The present article investigates combined effects of variable viscosity, viscous dissipation and thermal radiation on unsteady natural convection Couette flow through vertical porous channel. Non-linear Rosseland heat diffusion is deployed for the solution of the flow equations which as a consequence; together with the effects of variable viscosity, viscous dissipation and thermal radiation have resulted to high non-linear equations for the flow formation. Appropriate similarity variables are used to convert the partial differential equations associated with the fluid formation into dimensionless ordinary differential equations (ODEs) and the emerging ODEs are solved using Adomian decomposition method (ADM) and computer aided algebra package. Influences of the physical parameters involved in the problem are presented, discussed and conclusions are drawn. During the investigation; it was found that the fluid velocity and temperature were found to increase with increase in Eckert number, viscosity variation and thermal radiation.

Highlights

Couette flow is a phenomenon in fluid flow which occurs due to situation in the flow characteristics in boundary layer flows
To the movement of bounding surface surrounding the fluid. This accurately predict the flow and heat transfer rates; it is necessary type of flow occurs in fluid machinery involving moving parts; to take into account temperature-dependent viscosity of fluid in especially in hydrodynamics lubrication where it has been used boundary layer flows as increase in temperature leads to the as a fundamental method for measurement of viscosity and increase in transport phenomena by reducing the fluid viscosity as a means of estimating drag force in many wall driven across the boundary layer
Natural convection flow is a phenomenon in fluid flow where viscosity property of fluid is included the flow characteristics the fluid motion is induced by density difference occurring change substantially compared to the constant case

Summary

Introduction

Couette flow is a phenomenon in fluid flow which occurs due to situation in the flow characteristics in boundary layer flows. Natural convection flow is a phenomenon in fluid flow where viscosity property of fluid is included the flow characteristics the fluid motion is induced by density difference occurring change substantially compared to the constant case. Natural convection flows occur in many Viscous dissipation is a phenomenon where by useful energy of technological and industrial applications such as in nuclear a system is converted into its internal energy and as a result this reactors, rapid cooling process, motion of fluid in computer amounts to poor performance of the system. Assumption of constant viscosity property of fluids evaluated at (2011) and Makinde and Ogulu (2011) where the latter

Methods

Results

Conclusion