UNSTEADY HEAT AND MASS TRANSFER IN CONVECTIVE ROTATORY RIVLIN-ERICKSEN FLOW PAST A POROUS VERTICAL PLATE
No Thumbnail Available
Date
2018-07
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITY OF ILORIN
Abstract
Modelling of non-Newtonian fluid flow gives rise to non-linear problems which involves much computation. A non-Newtonian flow of Rivlin-Ericksen type past a porous vertical plate has been the subject of investigation by researchers due to its applications in engineering, food, paper and petroleum industries. A vast number of these investigations ignored rotatory and viscous dissipation effects of the fluid for simplification of problems. However, fluid flow realistically includes rotatory and viscous dissipation. Therefore, the objectives of the study were to: (i) determine the contribution of viscous dissipation to the Rivlin-Ericksen fluid; (ii) evaluate rotatory effects on convective Rivlin-Ericksen flow in a porous vertical plate; (iii) examine the effects of chemical reaction and thermal-diffusion on concentration profiles; (iv) analyze the influence of thermal radiation and viscous dissipation on fluid temperature; and (v) determine the impact of diffusion-thermo on concentration, temperature and velocity profiles.
The non-dimensional momentum, energy and species governing equations of the study respectively, are:
(1)
(2)
and
(3)
where , and are non-dimensional velocity components in the , , and directions respectively, and , , , , , , , and are, respectively, temperature, concentration, time, rotation parameter, magnetic parameter, Grashof number for heat transfer, Grashof number for mass transfer, viscoelasticity parameter and heat absorption coefficient. , , , , , , , , and are radiation parameter, Prandtl number, Schmidt number, chemical reaction parameter, suction velocity parameter, oscillation parameter, scalar constant, Dufour number, Soret parameter and Dissipation parameter respectively. These equations were reduced to ordinary differential equations using perturbation technique and the coupled ordinary differential equations obtained with a set of corresponding boundary conditions were solved for velocity, temperature and concentration using Adomian decomposition method. The effects of various fluid parameters on velocity, temperature and concentration were presented in tabular and graphical forms.
The findings of the study were that:
(i) resultant velocity profiles were enhanced with an increase in the value of dissipation parameter;
(ii) an increase in rotational parameter speed up the resultant velocity;
(iii) concentration distribution decreased with a rise in chemical reaction and accelerated with an increase in thermal diffusion;
(iv) temperature profiles experienced decline with an increase in the value of radiation parameter, while it was enhanced with an increase in the value of viscous dissipation parameter; and
(v) the presence of diffusion-thermo parameter enhanced the temperature distribution and reduced the velocity and concentration profiles.
The study concluded that effects of rotatory and viscous dissipation have considerable influence on the velocity, temperature and concentration of Rivlin-Ericksen flow. It is therefore recommended that combined effects of rotatory, viscous dissipation, radiation, thermal-diffusion and diffusion-thermo be included when modeling Rivlin-Ericksen fluid flow for practical purpose.
Description
Keywords
UNSTEADY HEAT, MASS TRANSFER, RIVLIN-ERICKSEN FLOW, CONVECTIVE, ROTATORY, POROUS, VERTICAL PLATE