الفهرس 
Flow through porous mediaOnly 14 pages are availabe for public view
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Abstract
The aim of this dissertation, which consists of four chapters, is provide an analyt-
ical solutions for some problems of di¤erent types of non-Newtonian uids and study
their behavior . In the following a brief discussion of the chapters is given.
In chapter one, the objective of this chapter is to introduce and to illustrate
the frequent and wide occurrence of non-Newtonian uid behavior. Starting with
the de nition of a non-Newtonian uid, di¤erent types of non-Newtonian uids are
briey described, e¤ects of chemical reaction, thermal radiation, thermophoresis, ba-
sic equations of micropolar, power-law and viscoelastic uids. A basic idea of an
analytical technique (HAM) which we used in this study has been presented
In chapter two, we introduced an analytical solutions for a problems of heat
and mass transfer of a non-Newtonian micropolar uid, the following two problems
have been studied:
In the rst problem (2.1), the e¤ects of chemical reaction and heat source/sink
on ow of a magnetomicropolar uid past a continuously moving plate in the pres-
ence of radiation are studied. The governing equations for the problem are changed
to dimensionless ordinary di¤erential equations by similarity transformation. The
e¤ects of radiation parameter, magnetic eld parameter, Prandtl number, Schmidt
number, heat generation/absorption parameter and chemical reaction parameter on
the velocity, angular velocity, temperature and concentration pro les have been dis-
cussed through graphs (see gures from 2:1:1 to 2:1:17). Also, Nusselt number and
Sherwood number have been presented in tables.
In the second problem (2.2), the problem of heat and mass transfer on the
ow of non-Newtonian micropolar uid with uniform suction/blowing, heat genera-
tion, thermal radiation, thermophoresis and chemical reaction is presented and dis-
cussed. The homotopy analysis method (HAM) is employed to compute an approxi-
mat solution of the system of nonlinear di¤erential equations governing the problem.
The e¤ects of various physical parameters such as material parameter, suction para-
meter, heat generation/absorption parameter, Prandtl number, radiation parameter,
thermophoretic parameter, chemical reaction parameter and Schmidt number on the
velocity pro le temperature pro le and concentration pro le are studied and shown
in several plots (see gures from 2:2:1 to 2:2:15). Also, Nusselt number and Sherwood
number have been presented in tables.
In chapter Three, we introduced an analytical solutions for partial di¤erential
equations of heat and mass transfer of a power-law uid, the following two problems
have been studied:In chapter Three, we introduced an analytical solutions for partial di¤erential
equations of heat and mass transfer of a power-law uid, the following two problems
have been studied:In the rst problem (3.1), the problem of heat and mass transfer on unsteady
magneto hydrodynamic ow of non-Newtonian power-law uid caused by an impul-
sively stretching plate in the presence of chemical reaction is studied. The e¤ect of the
integral power-law index (n=0.5,1.0,1.5) of the non-Newtonian uid is investigated.
The e¤ects of the various dimensionless parameters entering into the problem on
the velocity, temperature and concentration have been investigateed. Also, Nusselt
number and Sherwood number have been presented in tables.
In the second problem (3.2), the problem of heat and mass transfer on MHD
ow of a power-law uid due to a linearly stretching sheet, heat and mass transfer
characteristics using variable thermal conductivity is studied in the presence of a
non-uniform heat source/sink, porous medium and chemical reaction. The thermal
conductivity is assumed to vary as a linear function of temperature. The similarity
transformations have been used to convert the governing partial di¤erential equations
into a set of non-linear ordinary di¤erential equations. One type of boundary heating
is considered, namely prescribed power-law surface temperature (PST). The e¤ects
of various physical parameters such as magnetic eld parameter, porosity parameter,
Prandtl number, non-uniform heat source/sink parameter, thermal radiation parame-
ter, Schmidt number, chemical reaction parameter and variable thermal conductivity
parameter on the dynamics have been analyzed and shown in several plots (see g-
ures from 3:2:1 to 3:2:18). Also, Nusselt number and Sherwood number have been
presented in tables.