الفهرس 
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Abstract
The main aim of this thesis is to investigate some problems of micropolar non-Newtonian nanofluid flow of MHD motion with heat and mass transfer through porous medium. The present thesis consists of five chapters, and moreover include Arabic and English summaries and a list of references.
In chapter 1, a general introduction was presented in this chapter, we starts by introducing the definitions of fluid, fluid dynamics, fluid mechanics and some fundamental definitions that related to them. Also we discussed in this chapter the concept of Newtonian, non-Newtonian fluids, the classification of non-Newtonian fluids and some models of them. We also studied the micropolar fluid and couple stresses. We presented the definition of nanofluids, their applications and advantages in different scientific and industries fields. We also expressed the concept of peristalsis and their geometries in serval cases. We present the principle of MHD flows, the applications of MHD, and the fundamental equations that describe such flows. We introduced the mass and heat transfer flow and concepts that related to them and entropy generation. Also we studied the flow through a porous medium with its properties and applications. Moreover, we discussed the definitions of Darcy’s and non-Darcy’s flows. Furthermore, the governing of fluid dynamics of nanofluid flow in serval effects are introduced. Finally, we wrote down the concept of Homotopy perturbation method and Runge-Kutta- Merson and shooting methods.
In chapter 2 we discussed thermal micropolar and couple stresses effects on peristaltic flow of biviscosity nanofluid through a porous medium. The main propose of these study is to analyze couple stresses effects on MHD peristaltic transport of a micropolar non-Newtonian nanofluid. The fluid flows through a porous media between two horizontal co-axial tubes. The effects of radiation, chemical reaction, viscous and Ohmic dissipation are considered. The inner tube is solid and uniform, while the outer tube has a sinusoidal wave traveling down its wall. The governing equations have been simplified using low-Reynolds number and long wave-length approximations, thus a semi-analytical solutions have been obtained using the homotopy perturbation method. Numerical results for the behaviors of the axial velocity, microrotation velocity, temperature and nanoparticles concentration with the physical parameters are depicted graphically through a set of graphs. Furthermore, the values of the skin friction coefficient, Nusselt and Sherwood numbers are computed and presented graphically through some draws. Moreover, the trapping phenomenon is discussed throughout a set of figures. The present study is very important in many medical applications, as the gastric juice motion in the small intestine when an endoscope is inserted through it. Further, gold nanoparticles are utilized in the remedy of cancer tumor. This study is published in Scientific Reports 12 (2022): 16180, which is indexed in Scopus and Web of Science (Q1), the Impact Factor of this journal is 4.996.
The title of chapter 3 is Ohmic and viscous dissipation effects on micropolar non-Newtonian nanofluid Al2O3 flow through a non-Darcy porous media. In this chapter we invastigated inclined uniform magnetic field and mixed convention effects on micropolar non-Newtonian nanofluid Al2O3 flow with heat transfer. The heat source, both viscous and ohmic dissipation and temperature micropolarity properties are considered. We transformed our system of non-linear partial differential equations into ordinary equations by using suitable similarity transformations. These equations are solved by making use of Rung-Kutta-Merson method with a shooting and matching technique. The numerical solutions of the tangential velocity, microtation velocity, temperature and nanoparticle concentration are obtained as functions of the physical parameters of the problem. Moreover, we discussed the effects of these parameters on the numerical solutions and depicted graphically. It is obvious that these parameters control the fluid flow. It is noticed that the tangential velocity magnifies with an increase in the value of Darcy number. Meanwhile, the value of the tangential velocity reduces with the elevation in the value of the magnetic field parameter. On the other hand, the elevation in the value of Brownian motion parameter leads to a reduction in the value of fluid temperature. Furthermore, increasing in the value of heat source parameter makes an enhancement in the value of nanoparticles concentration. The current study has many accomplishments in several scientific areas like medical industry, medicine, and others. Therefore, it represents the depiction of gas or liquid motion over a surface. When particles are moving from areas of high concentration to areas of low concentration. The main results of this chapter have been published in International Journal of Applied Electromagnetics and Mechanics 68 (2022) 209–221. This journal is indexed in Scopus, the Impact Factor of this journal is 0.536, (Q3).
In chapter 4 the title is entropy generation and nanoparticles Cu O effects on MHD peristaltic transport of micropolar non-Newtonian fluid with velocity and temperature slip conditions. In the present paper we analyze the influences of entropy generation as well as slip velocity and temperature conditions on MHD micropolar biviscosity nanofluid flow through a porous medium in a channel with peristalsis. The fluid effects of mixed convection, radiation, viscous dissipation and thermal micropolar properties are taken into consideration. The assumptions of low-Reynolds number and long-wavelength are used to simplify the governing equations of this problem. A semi-analytical solutions of these equations are obtained by using homotopy perturbation method. Moreover, the entropy generation is obtained in this study. Results are discussed for various parameters of the problem and depicted graphically. Physically, our model is consistent with the motion of digestive juice in the bowel whenever we are going to insert an endoscopy through it. The major results of this chapter have been published to Egyptian Journal of Chemistry 65,715-722 (2022). This journal is indexed in Emerging Sources Citation and Scopus (Q3).
Chapter 5 have a title as Thermal micropolar properties effect on MHD Newtonian nanofluid flow with radially varying viscosity. The main aim of current study is to investigate the effects of radially varying viscosity on MHD peristaltic transport of a Newtonian micropolar nanofluid. The fluid flows via a porous medium under the effects of radiation and ohmic dissipation. The governing equations were simplified using low-Reynolds number and long wave-length approximations. Then, they have been solved using homotopy perturbation method. A set of graphs depicts numerical results for the interactions of axial velocity, microrotation velocity, temperature, and nanoparticle concentration with physical parameters. The current study is significant in many medical applications, such as the motion of gastric juice in the small intestine when an endoscope is inserted through it. Gold nanoparticles are also used in the treatment of cancer tumors.
In this chapter the major results have been submitted to Indian Journal of Chemical Technology, and it is attendee under reviewing, the impact factor is 0.76.
Finally, at the end of this thesis we introduced the references that are discussed on the base of the above studies. Furthermore the Arabic and English summaries.