الفهرس 
Modern applications and computer software of numerical analysis . . . . . . . . . .Only 14 pages are availabe for public view
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Abstract
This thesis contains numerical solutions for systems of nonlinear
equations governing
uid
ow and heat transfer of some non-Newtonian
uids through di erent geometric shapes. Also presented a study to
the error analysis in numerical methods by comparing it with exact
solution and previously published work. It should be noted that the
solution of the current results is obtained by designing Matlab programme and then the present graphics are drawn by designing Excel
and Matlab programmes. This thesis consists of four chapters, which
are followed by lists of references.
Chapter(1)
The introductory chapter is considered as a background for the material included in the thesis. The purpose of this chapter is to present
a short introduction on numerical analysis and
uid mechanics, a brief
survey of famous numerical methods which using to solve
uid mechanics problems,
uid properties and the basic
ow equations. Moreover,
it contains a short survey of some needed concepts of the material used
in this thesis.
Chapter(2)
The purpose of this chapter is to study the e ect of Casson viscosity on steady MHD
ow and heat transfer between two parallel plates
in the presence of dissipations. the governing equations are transformed into ordinary di erential equations by applying the dimensionless quantities. In addition, the resulting equations solved numerically
by using the nite di erence method (FDM). Moreover, numerical results are presented for the distribution of velocity and temperature
pro les for various parametric conditions. The e ects of varying presiii
SUMMARY
sure parameter , the Hartman number Ha
and the yield stress parameter
D
are determined. Furthermore, at the end of this chapter the
conclusions are summarized. Some results of this chapter is accepted
(Asian Journal of Mathematics and Computer Science).
Chapter(3)
The aim of this chapter is to study the e ect of radiation, heat generation and dissipations on heat transfer of stagnation point MHD
ow
of micropolar
uid over a stretching sheet. Using suitable similarity
transformations, the governing partial di erential equations are transformed into ordinary di erential equations and then solved numerically
by applying (FDM). The solutions are found to be governed by six parameters, the stretching parameter C , the material parameter K, the
thermal radiation parameter Rd
, the Prandtl number Pr , the heat generation/absorption parameter B and Eckert number Ec . Numerical
results are presented the distribution of velocity and temperature pro- les. Furthermore, comparisons of the present results with previously
published work respect to skin friction show that the present results
have high accuracy and are found to be in a good agreement. At the
end of this chapter, the conclusions are summarized. The work in this
chapter is submitted to (International Journal of advances in Applied Mathematics and Mechanics).
Chapter(4)
The main goal of this chapter is to study the e ect of Hematocrit
viscosity on the blood (non-newtonian
uid)
ow and temperature
through a rectangular artery of large aspect ratio in the presence viscous of dissipation. The non-dimensional quantities are applied to
transform the governing equations into ordinary di erential equations.
Numerical solutions of the governing (momentum and energy) equations are obtained taking suction and injection into consideration. The
nonlinear system of equations linearized using nite di erence method
to obtain the velocity and temperature distributions. Numerical and
graphical results for the velocity and temperature pro les are presented
and discussed for various parameters. Figures and Tables illustrate the
e ects of dimensionless non-Newtonian viscosity , suction parameter
S and Brinkman number Br on the nondimensional velocity and temiv
SUMMARY
perature. Furthermore, comparisons of the present results with exact
solution at a speci c case have high accuracy and are found to be in a
good agreement. Some results of this chapter is accepted for (Journal
of Natural Sciences and Mathematics).