A STUDY ON MIXED CONVECTION FLOW IN DIFFERENT CHANNELS
A STUDY ON MIXED CONVECTION FLOW IN DIFFERENT CHANNELS
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Date
2014-11
Authors
SULEIMAN, ABBAS
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Abstract
This research work titledA STUDY ON MIXED CONVECTION FLOW IN DIFFERENT
CHANNELS, is divided into three parts.The first part analytically simulates the mixed
convection flow in the steady, laminar fully developed region of a parallel porous plate channel
filled with porous material .The Darcy-Brinkman model and Boussinesq are employed. While
the second part investigates analytical solutions for fully developed mixed convection flow in a
vertical channel formed by two infinite vertical parallel plates partially filled with porous
material.The third part studies the steady mixed convection flow in an annulus partially filled
with porous material. In the second and third problems, the Brinkman-extended Darcy model is
used to simulate momentum transfer in the porous region and the Navier-Stokes equation is used
to simulate the momentum transfer in the clear fluid region. The clear fluid and porous regions
are coupled by equating the velocity, temperature, heat flux and by considering shear stress jump
condition at the interface.In the first part, the effect of suction/injection on mixed convection
flow between vertical porous plates filled with porous material is investigated. The second part
investigates the relative significance of the governing parameters on the velocity,interface
velocity and temperature in the channel. While the third part studies the impact of the Darcy
number and the adjustable coefficient in the stress-jump condition at the interface of fluid/porous
layer on flow formation inside the annulus. Moreover,a dimensionless temperature 0 is
introduced which is related to the usual
Re
Gr
parameter. The exact solutions for momentum and
energy equations obtained are presented graphically and discussed.
Description
A STUDY ON MIXED CONVECTION FLOW IN DIFFERENT CHANNELS By Sulaiman ABBAS M.Sc/SCIE./01944/2009-2010 A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF A MASTER OF SCIENCE (M.Sc) DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIA NOVEMBER, 2014
Keywords
STUDY, MIXED, CONVENTION, CHANNELS