A STUDY ON MAGNETOHYDRODYNAMIC NATURAL AND MIXED CONVECTION FLOWS IN VERTICAL CONCENTRIC ANNULI FILLED WITH POROUS MATERIAL
A STUDY ON MAGNETOHYDRODYNAMIC NATURAL AND MIXED CONVECTION FLOWS IN VERTICAL CONCENTRIC ANNULI FILLED WITH POROUS MATERIAL
No Thumbnail Available
Date
2016-05
Authors
CHIA, RAPHAEL AHEMBA
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This dissertationconsiders steady fully developed free and mixed convective flows of
a viscous, incompressible, electrically conducting fluid in vertical concentric annuli,
formed by two infinite and vertical concentric cylinders, filled with porous material
having variable porosity in the presence of radial magnetic field. Unified exact
solutions are derived by taking into account an isothermal or isoflux thermal
boundary condition at the outer surface of inner cylinder. The solutions obtained are
graphically represented and the effects of various controlling parameters such as
Hartmann number, Darcy number, ratio of viscosity and the gap between the
cylinders on the flow formation are discussed. The major results reveal that velocity
of the fluid in the first problem is higher in case of isothermal heating of outer
surface of inner cylinder compared to constant heat flux heating when the gap
between cylinders is less or equal to radius of inner cylinders while reverse
phenomena occur when the gap between cylinders is greater than radius of inner
cylinder. In the second problem, velocity is approximately the same for both
isothermal and isoflux thermal boundary conditions.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE
STUDIES, AHMADU BELLO UNIVERSITY, ZARIA,
IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE
AWARD OF A
MASTER OF SCIENCE DEGREE IN MATHEMATICS
DEPARTMENT OF MATHEMATICS,
FACULTY OF SCIENCE,
AHMADU BELLO UNIVERSITY, ZARIA,
NIGERIA.
Keywords
STUDY,, MAGNETOHYDRODYNAMIC NATURAL,, MIXED CONVECTION FLOWS,, VERTICAL CONCENTRIC ANNULI FILLED,, POROUS MATERIAL,