الفهرس 
E¤ects of heat and mass transfer on superposed ?uidsOnly 14 pages are availabe for public view
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Abstract
This thesis is mainly concerned with linear and nonlinear electrohydrodynamic stability
of interface separating two bounded incompressible uids inuenced by di¤erent electric
eld distributions. The dynamic motion and the perturbation equations of the considered
systems have been studied using the method of multiple scales in order to solve the boundary
value problems of the various orders. The following problems are investigated:
Nonlinear electroconvective instability of two superposed dielectric bounded uids in
(2+1)-dimensions.
Nonlinear instability of two superposed electri ed bounded uids streaming through
porous medium in (2+1)-dimensions.
Nonlinear Kelvin-Helmholtz instability of two superposed dielectric nite uids in
porous medium under vertical electric elds.
Nonlinear electrohydrodynamic stability of two superposed streaming nite dielectric
uids in porous medium with interfacial surface charges.
The thesis is orgnized in ve chapters as follows:
In chapter one, we introduce the main aspects , the previous works of electrohy-
drodynamic and its various applications.Also, it shows all the mathematical background,
concepts, and tools we need in our thesis.
In chapter two, The problem of nonlinear analysis of Rayleigh-Taylor stability of two
superposed bounded uids in (2+1)-dimensions in presence of interfacial transfer of mass
and heat and a constant tangential electric eld is studied. The acceleration due to gravity
and the surface tension forces are taken into account between the two uids. we studied the
equations of motion and the related boundary conditions, by using the method of multiple
scales perturbation, we obtain a dispersion relation for the linear problem. A Ginzburg-
Landau equation is obtained to investigate the stability through the nonlinear problem.
In linear case, it is found that the mass and heat transfere has no e¤ect on the considered