الفهرس 
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Abstract
The main purpose of the current thesis is to study some problems of MHD peristaltic motion of non-Newtonian nanofluids with heat and mass transfer and its applications. The current thesis consists of six chapters, and moreover include a list of references, and English and Arabic summaries.
In chapter 1, we wrote down an introduction of this thesis which starts by expressing the concept of fluid mechanics, fluid dynamics, and some basic definitions that related to them. We also declared in this chapter the definitions of Newtonian and non-Newtonian fluids, and the classification of non-Newtonian fluids and some models of them with their constitutive equations. We also discussed the heat and mass transfer flow with some properties and definitions that related to them. We review the principle of magnetohydrodynamic flows, the applications of Magnetohydrodynamic, and the governing equations that govern such flows. Moreover, we expressed the concept of nanofluids, their advantages and applications in several industries and scientific fields. We also introduced the flow through a porous medium with some related properties and its applications. Further, we wrote down the concept of Darcy’s and non-Darcy’s flows. Moreover, we described the concept behind the activation energy and chemical reaction effect, and entropy generation. We also illustrated in this chapter the definition of peristalsis and their geometries in different situations. Furthermore, the fundamental equations that governing the peristaltic flow in different situations are presented in this chapter in Cartesian and cylindrical coordinates. Finally, we presented the concept of Homotopy perturbation method.
The title of chapter 2 is wall properties and Joule heating effects on MHD peristaltic transport of Bingham non-Newtonian nanofluid. In this chapter we analyzed Soret and Dufour effects on peristaltic flow of magnetohydrodynamic (MHD) non-Newtonian nanofluid in a uniform symmetric channel with wall properties. Moreover, we involved effects of Joule heating, chemical reaction. Furthermore, we considered Brownian motion and thermophoresis. Then, we simplified the governing equations to a system of partial differential equations by applying low Reynolds number and long wavelength approximations and we solved them by using Homotopy Perturbation Method (HPM). We sketched the influence of various parameters on the stream function, velocity, temperature and nanoparticles concentration in graphs and we discussed them physically. Also, we obtained graphs for heat transfer coefficient, skin friction coefficient, Nusselt number and Sherwood number at the upper wall of the channel. This study is published in International Journal of Applied Electromagnetics and Mechanics 69, no. 1 (2022), which is indexed in Web of Science, and Scopus, the Impact Factor of this journal is 0.536, (Q3).
In chapter 3, we investigate the influence of both Ohmic dissipation and activation energy on peristaltic transport of Jeffery nanofluid through a porous media. The theme of the study of this chapter is to investigate the influence of the chemical reaction and activation energy on MHD peristaltic flow of Jeffery nanofluids in an inclined symmetric channel through a porous medium. Joule heating, radiation, viscous dissipation, heat generation/absorption, activation energy, and thermal diffusion and diffusion thermo effects are involved. The long wavelength and low Reynolds number approximations are used to simplify the non-linear equations that govern the flow. Then, the simplified equations are solved by using the homotopy perturbation method (HPM). We have depicted the velocity, temperature, solute concentration, and nanoparticles volume friction graphically. Physical explanations for the results are provided. The influence of interest parameters on entropy generation is also observed. Numerical results for the heat transfer coefficient, Nusselt number, and Sherwood number are presented. This study is accepted for publication in CFD Letters Journal and scheduled for publication in volume 15(6), 2023. This journal is indexed in Scopus (Q2).
Chapter 4 is titled as effects of thermal diffusion and diffusion thermo on a chemically reacting MHD peristaltic transport of Bingham plastic nanofluid. In this chapter, we investigated the solution of the peristaltic motion of Bingham plastic nanofluid through a vertical symmetric channel. The system is stressed by an external strong magnetic field to produce a hall currents. Moreover, we involved effects of Joule heating, radiation, chemical reaction and couple stresses. Further, we considered Soret and Dufour effects. This phenomena is represented mathematically by a system of non-linear equations which describe the problem. We used the approximation of low Reynolds number and long-wavelength approximation to simplify the governing equations. Then, we used Homotopy perturbation method (HPM) to solve the equations. We sketched a graphs for the influence of various parameters on velocity, temperature and nanoparticles concentration profiles and then discussed them physically. This study is published in the Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 98(2), (2022): 24–43. This journal is indexed in Scopus (Q3).
We investigated in chapter 5 the activation energy and couple stresses effect on MHD peristaltic transport of Jeffery nanofluid between two inclined coaxial tubes through a non-Darcy porous medium. The main purpose of the study of this chapter is to investigate the influence of the chemical reaction and activation energy on peristaltic flow of MHD Jeffery nanofluid through a non-Darcy porous medium in the gap between two coaxial tubes inclined at an angle α. Couple stresses, radiation, heat generation/absorption, magnetic field, viscous dissipation, and thermal diffusion and diffusion thermo effects are taken into account. The long wavelength and low Reynolds number approximations are used to simplify the non-linear equations governing the flow. Then, a semi-analytical method called the homotopy perturbation method (HPM) is employed to solve the non-linear equations. Graphs for velocity, temperature, and nanoparticle concentration distributions are plotted. Graphical representations of skin friction coefficient, heat transfer coefficient, Nusselt number, and Sherwood number are sketched. Physical explanations for the results are provided. The motion of gastric juice when an endoscope is inserted through a small intestine is a famous example that describes the model of this study. The main findings of this chapter have been submitted and is presently being given full consideration for publication (under review) in Journal of Applied Nonlinear Dynamics.
In Chapter 6, we studied the significance of Hall current and activation energy on MHD peristaltic transport of couple stress hyperbolic tangent nanofluid through a non-Darcy porous medium inside an inclined tapered asymmetric channel. This chapter presents the influence of chemical reaction and activation energy on peristaltic flow of MHD hyperbolic tangent nanofluid with heat and mass transfer through a non-Darcy porous medium in an inclined tapered asymmetric channel with different wave forms. Brownian motion, thermophoresis, viscous dissipation, couple stresses, Joule heating, Hall currents, radiation, heat generation/absorption, and thermal diffusion and diffusion thermo effects are involved. The coupled non-linear equations that govern the flow are simplified by using the long wavelength and low Reynolds number approximations. Then, an analytical method called homotopy perturbation method (HPM) have been used to solve the simplified equations. Graphical results are obtained to examine the behaviour of various parameters on the velocity, temperature, and nanoparticle concentration distributions. Graphical representations of heat transfer coefficient, Nusselt number, Sherwood number, and entropy generation are sketched. Physical explanations for the results are provided. The main results of this chapter are accepted for publication to Egyptian Journal of Chemistry. The journal is indexed in Scopus and Emerging Sources Citation Index (ESCI).
Finally, the references that are used on the base of the above studies are provided at the end of this thesis, as well as the Arabic and English summaries.