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العنوان
EFFECT OF CHEMICAL REACTIONS ON HEAT AND MASS
TRANSFER FOR BOUNDARY LAYER FLOW THROUGH
POROUS MEDIA
الناشر
South Valley University
المؤلف
ALY،ABDELRAHEEM MAHMOUD
هيئة الاعداد
مشرف / ABDELRAHEEM MAHMOUD ALY
مشرف / A. S. ABDEL-RADY
مشرف / M. A. MANSOUR
مشرف / N. F. El-ANSSARY
تاريخ النشر
2008
عدد الصفحات
cd
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات التطبيقية
تاريخ الإجازة
1/1/2008
مكان الإجازة
جامعه جنوب الوادى - كليه العلوم بقنا - الرياضيات
الفهرس
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Abstract

Title of M. D: EFFECT OF CHEMICAL REACTIONS ON HEAT AND
MASS TRANSFER FOR BOUNDARY LAYER FLOW THROUGH
POROUS MEDIA
The main aim of this dissertation, which consists of five chapters, is to
study numerical solutions for some problems of heat and mass transfer over
different shape surfaces in the boundary layer flow through a porous medium.
In the following, a brief discussion of the chapters is given.
In chapter one, we have introduced a general introduction to boundary layer
flows, flows through porous medium, Darcy’s law, Non-Darcian models,
basic equations of porous medium, combined heat and mass transfer and
effects of chemical reactions.
In chapter two, we introduced numerical solutions for partial differential
equations of heat and mass transfer for four boundary conditions over
different shape surfaces embedded in porous media and the following three
problems have been studied:
In the first problem (2.1), an approximate numerical solution for the flow
problem has been obtained by solving the governing equations using shooting
technique with a fourth-order Runge-Kutta integration scheme. Four different
cases of flows have been studied namely an isothermal surface, a uniform
heat flux surface, a plane plume and flow generated from a horizontal line
energy source a vertical adiabatic surface. Numerical results are presented for
the perturbation analysis for the four conditions with various parameters with
considering suction or injection flow. The results obtained show that the flow
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field is influenced appreciably by the presence of chemical reaction, viscous
dissipation and suction or injection flow.
(This work accepted for publication in International Journal of Applied
Mathematics and Mechanics [43]).
In the second problem (2.2), an approximate numerical solution for steady
boundary-layer flow is presented to study the effects of chemical reactions on
magneto-hydrodynamic natural convection flow. Four different cases of
flows have been studied namely an isothermal surface, a uniform heat flux, a
plane plume and flow generated from a horizontal line energy source a
vertical adiabatic surface. Rosseland approximation is used to describe the
radiative heat flux in the energy equation. Numerical results are presented for
the perturbation analysis for the four boundary conditions with various
parameters and analyzing the results.
(This work accepted for publication in JP Journal of Heat and Mass Transfer
[54]).
In the third problem (2.3), the effect of chemical reaction with a regular
two-parameter perturbation analysis has been studied for the effects in
magnetohydrodynamic free convection flows of Newtonian fluid-saturated
porous medium. The Rosseland approximation is used to describe the
radiative heat flux in the energy equation. Four different cases of flows have
been studied namely an isothermal surface, a uniform heat surface, a plane
plume and flow generated from a horizontal line energy source a vertical
adiabatic surface. Numerical results are presented for the perturbation
analysis for the four boundary conditions are solved numerically by the
fourth-order Runge-Kutta integration scheme. A representative set is
displayed graphically to illustrate the influences of the parameters on the
velocity, temperature and concentration