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العنوان
STUDY OF ANALYTICAL AND NUMERICAL
SOLUTIONS OF SOME PROBLEMS OF NEWTONIAN
AND NON-NEWTONIAN FLUIDS /
المؤلف
ALAM، HEBA ALAM MOHAMMED.
هيئة الاعداد
باحث / هبه علام محمد علام
مشرف / كمال احمد محمد
مشرف / محمد عيسي سيد
مناقش / بثينة محمد حسن
الموضوع
qrmak
تاريخ النشر
2022
عدد الصفحات
143 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الرياضيات (المتنوعة)
تاريخ الإجازة
8/3/2022
مكان الإجازة
جامعة الفيوم - كلية العلوم - قسم الرياضيات
الفهرس
Only 14 pages are availabe for public view

from 143

from 143

Abstract

Chapter (II):
This chapter discusses the peristaltic of non-Newtonian
incompressible blood flow with heat transfer through
ciliated arteries because the flow of blood through arteries is
an important physiological problem. The nonlinear partial
differential equations of the problem are simplified by using
an approximation of long wavelength and low Reynolds
number. The differential equations are solved analytically by
using the perturbation method. We find that Sisko fluid
parameter and the power index effect the behavior of the
velocity where the velocity increase in the arteries then
decreases near the wall, but the Sisko parameter give
opposite behavior where the velocity decrease then
increases near the wall of arteries. The velocity increase in
arteries with the increase of cilia length and elliptic path.
The temperature profile increases then decreases near the
wall of arteries with the increase of power index, Sisko fluid
parameter and Grashof number, while the temperature
decrease then increase near the wall with increase of Sisko
parameter. The effect of increase in the cilia length give an
increase of the temperature. The pressure gradient
increases with the increase of power index and elliptic path,
while the pressure gradient decrease with an increase of
elliptic path, Sisko parameter. The pressure gradient
increases and decreases in a different interval with the
increase the cilia length. Our results are illustrated through a
set of Figures.
Chapter (III):
This chapter shows the mathematical investigation of
the binary Powell- Eyring Nano fluid of peristaltic flow with
heat transfer in a ciliated tube. The approximation of long
wavelength and low Reynolds number is taken into
consideration. We obtain a system of partial differential
equations which solved by using the perturbation method.
The velocity and the temperature are computed for various
values of the physical parameters. The results are
illustrated graphically through a set of Figures. We found
that the increase of Grashof number causes an increase in
the velocity, then the velocity decrease near the wall of the
tube. When the volume fraction of the Nanoparticles
increase the velocity increase and decrease near the wall of
the tube. The increase in the cilia length leads to an
increase in the velocity, then a decrease near the wall of the
tube. The increase of the first Eyring-Powell parameter
gives an increase in the velocity and decrease near the wall
of the tube. The increase of the second Eyring-Powell
parameter cause decrease in the velocity. The temperature
parameter increase then decreases with the increase of the
Sink parameter. The increase of the volume fraction of the
Nanoparticles leads to decreases then increase in the
temperature parameter. The increase of the cilia length
parameter causes an Increase in the temperature.
Chapter (IV):
The main purpose of this paper is to study the
mathematical investigation of the effect of the metachronal
wave of power-low fluid flow inside ciliated walls
symmetrical channel. The momentum equation of power-
low fluid flow is analyzed by using the low Reynolds
number and long-wavelength approximation. The
governing partial differential equations are solved by using
the Homotopy perturbation method (HPM). A discussion is
provided to explain the effect of power low index, length of
cilia, Weisenberg number, and the eccentricity of the
elliptic path on the velocity and pressure gradient for
pseudo-plastic fluid, Newtonian fluid, and dilatant fluid.
The results are illustrated graphically through a set of
figures.
Chapter (V):
This chapter is devoted to study the effect of slip
velocity on Sutterby blood flow with technique of balloon
catheter through stenotic arteries. The non-linear partial
differential equations governing the problem accompanied
by the appropriate choice of prescribed boundary
conditions are solved by using the perturbation method.
Expression for axial velocity, wall shear stress and
volumetric flow rate are obtained analytically and
displayed through graphical illustration for different values
of flow parameters.