الفهرس 
IntroductionOnly 14 pages are availabe for public view
 |  | from | 182 |  |  |
| | | from | 182 | | |
Abstract
he purpose of this thesis is to _nd solutions of some problems on the motion of
non-Newtonian uids with heat and mass transfer through porous media. These
problems are of great importance because of their multiple applications in various
scienti_c _elds including biological, chemical, physical, industrial such as aerosol
collection (thermal precipitator), micro contamination control, and removing small
particles from gas streams, nuclear reactor safety, studying the particulate material
deposition on turbine blades, and also in determining exhaust gas particle trajecto-
ries from combustion devices. As well as these problems have an important appli-
cations in the _eld of medicine and the medical industries such as industrial devices
like arti_cial respiration and kidney dialysis and other. Where, the ow of non-
Newtonian uids such as blood and di_erent liquids within the human body devices
considered an application of bio-uids. Also, the results that have been obtained
from our thesis can be used in the following applications: develops and manufac-
tures wellhead control panels, and chemical injection systems; Including wellhead
safety control systems, metallurgical process, polymer extrusion, glass blowing, crys-
tal growing, oil recovery, food processing, paper making, Ultra-_ltration, Transfer
of fuels and lubricants.
The thesis consists of four chapters with an Arabic and English sum-
maries and list of publications, list of Bibliography (References), list of
_gures and list of tables.
In chapter one:
Introduction, we presented a preface to the following topics:
1.1 Introduction to Fluid Dynamics
1.2 Fluid Mechanics Basics of Rheology Equations
1.3 Newtonian uids
1.4 Non-Newtonian uids
1.5 Classi_cation of non-Newtonian uids
1.6 Some di_erent models of non-Newtonian uids
1.7 Magneto hydrodynamics (MHD)
1.8 Hall Currents E_ect
1.9 Flow through porous medium
1.10 Heat Transfer
1.11 Mass Transfer
1.12 Dimensionless numbers in convective heat and mass transfer
1.13 Couple stress in uids
1.14 Thermophoresis
1.15 Some of Di_erent Applications
1.16 Survey on some previous studies related to this work.
v
In chapter two:
we studied the inuence of thermophoresis on unsteady ow of non-Newtonian uid
with heat and mass transfer through a porous medium over a permeable in_nite ver-
tical plate. The considered non-Newtonian uid follows a second grade model and
is stressed by a uniform strong magnetic _eld; so the Hall currents are taken into
consideration. The problem is modulated mathematically by a system of coupled
non-linear partial di_erential equations which pertaining to describe the continuity,
momentum, energy and concentration. These equations involve the e_ects of ther-
mal radiation, heat generation, thermal di_usion (Soret), viscous dissipation and
chemical reaction. The numerical solutions of the dimensionless equations are found
as a functions of the physical parameters of this problem. The numerical formulas of
the velocity components (u) and (w), temperature (_) and concentration (C) as well
as Nusselt number (Nu) and Sherwood number (Sh) are computed. The physical
parameters e_ects of the problem on these formulas are described and illustrated
graphically through some _gures and tables.
It is found from _gures that:
• There is no ow in z -axis direction in the absence of magnetic _eld.
• The increase in thermophoretic parameter (_ ) leads to reduce primary and
secondary velocities as well as temperature pro_le, while enhancing the con-
centration.
• The concentration C(t; y) is independent of Soret parameter (Sr) at certain
values of (y) that locate among y = 0:6 and y = 0:7. But, before and after
this region, the e_ect of (Sr) has been observed.
• Increase in heat source parameter (_) enhance and increase the primary and
secondary velocities as in the case of temperature pro_les.
• Increasing in chemical reaction () leads to increase in velocities and its im-
portant to enhance the concentration.
The results of this problem have been published in the: Applied Mathe-
matics & Information Sciences (AMIS) 1(11) (2017) 267- 280
vi
In chapter three:
A mathematical model analysis has been developed to investigate the e_ect of ther-
mophoresis on unsteady ow of non-Newtonian uid with heat and mass transfer
past a permeable in_nite vertical plate. The uid is obeying to Kuvshinski model
and is stressed by uniform magnetic _eld. The problem is modulated mathemat-
ically by a system of non-linear partial di_erential equations which pertaining to
describe the continuity, momentum, energy and concentration. These equations in-
volve the e_ects of thermal radiation, radiation absorbing, viscous dissipation and
chemical reaction. The numerical solutions of the dimensionless equations are found
as a functions of the physical parameters of this problem. The numerical formulas
of the velocity (u), temperature (_) and concentration (C) as well as skin friction
coe_cient ( _ _), Nusselt number (Nu) and Sherwood number(Sh) are computed.
The physical parameters e_ects of the problem on these formulas are described and
illustrated graphically through some _gures and tables:
It is found from _gures that:
• Approximately, there is no ow of the uid at value of magnetic _eld M = 6.
• The increase in thermophoretic parameter (_ > 1) leads to reducing the ve-
locity u(y; t) as well as temperature pro_les and concentration layers
• Increase in radiation absorption parameter (Ra) enhances and increases the
velocity u(y; t) as well as (Ra) enhancing the temperature pro_les rapidly.
• Increasing in chemical reaction () leads to reduction the velocity and tem-
perature as well as reduce the concentration pro_les.
The results of this problem have been accepted for publication in:
”American Journal of Heat and Mass Transfer”
vii
In chapter four:
We presented a theoretical study which it has been developed to investigate the
inuence of thermophoresis and couple stresses on steady ow of non-Newtonian
uid with free convective heat and mass transfer over a channel bounded by two
permeable plates. The considered non-Newtonian uid is obeying to a viscoelastic
model. The problem is modulated mathematically by a system of non-linear dif-
ferential equations which pertaining to describe the continuity, momentum, energy
and concentration. These equations involve the e_ects of viscous dissipation and
chemical reaction. The numerical solutions of the dimensionless equations are found
as a functions of the physical parameters of this problem. The numerical formulas
of the velocity (u), temperature (_) and concentration (_) as well as skin friction
coe_cient (_ _) Nusselt number (Nu) and Sherwood number (Sh) are computed.
The physical parameters e_ects of the problem on these formulas are described and
illustrated graphically through some _gures and tables.
It is found from _gures that:
• There is no ow of the uid at value of couple stress inverse parameter a = 0:1.
• The increase in thermophoretic parameter (_ ) leads to reduction of the velocity
pro_les u(y) as well as concentration layers.
• Increasing in Prandtl number (Pr) leads to a decrease in velocity and the
temperature pro_les.
• The velocity pro_les of the uid is maximum at the center of the passageway
and zero at the plates.
• As a result of the e_ect of the previous parameters on the concentration and
temperature layers. It is found that the uid be more concentrated (or high
temperature) in the adjacent side of the suction process of the plate which
located at y = 1.
The results of this problem have been submitted to the:
International Journal of Fluid Mechanics Research (FMR)