A COMPUTATIONAL STUDY ON THERMO-SOLUTAL CONVECTION IN MAGNETOHYDRODYNAMICS (MHD) FLOW WITH DUFOUR EFEECT
A COMPUTATIONAL STUDY ON THERMO-SOLUTAL CONVECTION IN MAGNETOHYDRODYNAMICS (MHD) FLOW WITH DUFOUR EFEECT
No Thumbnail Available
Date
2018-05
Authors
DURU, Timothy Chibundo
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
ABSTRACT
A computational study on thermo-solutal convection in Magnetohydrodynamics (MHD) flow
with Dufour effect is the subject of this research work. A fully developed unsteady natural
convection flow of viscous, incompressible and electrically conducting fluid in a
microchannel formed by two vertical plates under the influence of transverse magnetic field
of uniform strength 0 B which is applied in the direction perpendicular to that of the flow is
considered. In this flow formation, temperature is influenced by concentration of the
introduced chemical species, leading to diffusion-thermo effect on the heat and mass transfer.
In an extended study, the flow is subjected to suction of the fluid from one porous plate and
at the same rate fluid is being injected through the other porous plate. Fluid motion is induced
by asymmetric heating of the channel plates taking into consideration velocity slip and
temperature as well as concentration jumps on the boundaries. Heat source parameter as well
as Dufour effects are also taken into cognizance. Partial differential equations that describe
the energy and concentration within the system follow the dual-phase-lag model for heat
conduction. Laplace transform approach is used to solve the resulting governing equations in
Laplace domain while the inversion into time domain is made possible through the Riemannsum
approximation technique. The response of mean chemical concentration, bulk fluid
temperature and mass flux within the channel to different flow parameters are investigated. It
is worth noting that regardless of temperature gradient or heat flux influence on the fluid
flow, the resultant mass flux decreases by increasing the Hartmann number (m) and also, it
increases with an increase in Biot number (Bi) as well as Dufour number (D). In addition, the
mean temperature rises following an increase in Dufour (D) number but decreases with
growing thermal retardation time ( T ). Furthermore, it is observed that heat generation ( )
increases temperature profile, velocity profile and also skin friction.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS,
Keywords
COMPUTATIONAL STUDY,, THERMO-SOLUTAL CONVECTION,, MAGNETOHYDRODYNAMICS,, DUFOUR EFEECT,, (MHD) FLOW