الفهرس 
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Abstract
In the recent few decades, nanotechnology has dominated a wide range of fields such as medicine, nuclear energy, and construction. For this reason our researches focused on the nanophenomena under different circumstances. Three problems are discussed here:
1. The influence of electromagnetic field on a nanofluid was investigated through a mixed convection flow.
2. The influence of electromagnetic field on a nanofluid was investigated through a peristaltic motion with a wall-compliance channel.
3. The influences of electro-osmosis and peristalsis on a non-Newtonian nanofluid through a micro-channel were studied.
The main mechanisms of nanofluid are Brownian diffusion and thermophoresis diffusion parameters are taken into consideration in the three problems.
The thesis consists of four chapters as follows:
Chapter 1
This chapter is a presentation for the following topics:
1.1 Peristaltic transport.
1.2 Compliant walls.
1.3 Newtonian and non-Newtonian fluids.
1.4 Heat transfer.
1.5 Mass transfer.
1.6 Nanofluids.
1.7 Magnetohydrodynamics.
1.8 Electro - osmosis.
1.9 Homotopy perturbation method (HPM)
Chapter 2
This chapter is an investigation for the unsteady mixed convection flow of an incompressible electrically conducting nanofluid. The Cattaneo- christov double diffusion with heat and mass transfer are taken into account. The governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by using suitable similarity transformations. These equations are analytically solved by HPM. The distributions of the velocity, temperature, induced magnetic field and nanoparticles concentration are sketched with related non-dimensional parameters such as unsteadiness parameter, magnetic parameter, reciprocal magnetic Prandtl number, thermal relaxation parameter, nanoparticle relaxation parameter, Prandtl number, Lewis number, Brownian parameter, thermophoresis parameter and Richardson number. The results of this chapter have been accepted for publication in the ”Journal of Science and Engineering Applications”.
Chapter 3
This chapter is a discussion for the peristaltic transport of an electromagnetic nanofluid (copper and water) in a wall-compliance channel. The influence of the induced electric and magnetic fields on the conducting fluid is taken into consideration. The effects of the Brownian motion and thermophoretic diffusion of nanoparticles are also obtained. The analytical solutions for the stream function, electric field, magnetic field, temperature, and nanoparticles concentration are derived by using a perturbation method. The HPM is also used in order to complete the solution for both the temperature and nanoparticles concentration. Some special cases are reported upon appropriate data choices. In addition, the effects of the various physical parameters, such as magnetic Reynolds number, Hartmann number, the elastic parameters, Brownian diffusion parameter, and the thermophoresis diffusion parameter, on the different distributions are graphically illustrated. Also, the trapping phenomenon is discussed through streamlines graphs. The results of this chapter have been accepted for publication in the ”Journal of Engineering Mechanics”.
Chapter 4
This chapter deals with the effect of electro-osmosis on peristaltic motion of a non-Newtonian nanofluid (biviscosity model) in a micro-channel with heat transfer. The effects of the Brownian parameter and thermophoresis parameter are taken into account in this study. The governing equations are analytically solved under long wavelength and low Reynolds number assumptions. The profiles of the axial velocity, temperature, nanoparticle volume fraction and volumetric flow rate are sketched with various parameters of the problem. Besides, the changes of skin friction, Nusselt number and Sherwood number with various parameters are also plotted and discussed. Furthermore, the trapping phenomenon is examined with the variety of Rayleigh’s parameters, Brownian parameter and thermophoresis parameter. The influences of these parameters are discussed in details.