ANALYTICAL STUDY ON THERMO-SOLUTAL NATURAL CONVECTION FLOW IN AN INCLINED CHANNEL FILLED WITH POROUS MATERIAL
ANALYTICAL STUDY ON THERMO-SOLUTAL NATURAL CONVECTION FLOW IN AN INCLINED CHANNEL FILLED WITH POROUS MATERIAL
No Thumbnail Available
Date
2017-11
Authors
ABDULLAHI, Sanusi
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This dissertation presents an analytical study on thermo-solutal natural convection flow in an
inclined channel filled with porous material. Two problems are considered in this work. In both
problems, the flow is assumed to be hydrodynamically and thermally fully developed and the
mathematical equations governing the flow were formulated. The first problem focused on Soret
effect on steady natural convection of double-diffusive flow of heat generating fluid. While the
second problem examines the transpiration and Soret effects on thermo-solutal convection flow
of heat generating fluid in an inclined porous channel filled with porous material. Using
appropriate transformations, the differential equations governing the flow were transformed and
solved analytically to obtain an expression for velocity, concentration, temperature, skin friction,
Nusselt number, Sherwood number as well as volumetric flow rate. The effects of various
governing parameters on fluid velocity, concentration, temperature, skin friction, Nusselt
number, local Sherwood number and volumetric flow rate are shown in graphs and tables and
analyzed in detail. During the course of this investigation, it is found that Soret effect, angle of
inclination and viscosity of the porous material are very effective in controlling the
hydrodynamics within the channel.Furthermore, there is a rise in the skin friction on both plates
due to increase in heat generation parameter , permeability parameter 𝐷𝑎 and angle of
inclination 𝑎 while a fall is observed in skin friction on both plates due to increase in Prandtl
number 𝑃𝑟, Soret number 𝑆𝑜 and Schmidt number 𝑆𝑐.
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 DEPARTMENT OF MATHEMATICS, FACULTY OF PHYSICAL SCIENCES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERI
Keywords
ANALYTICAL STUDY,, THERMO-SOLUTAL NATURAL CONVECTION FLOW,, INCLINED CHANNEL FILLED,, POROUS MATERIAL,