العنوان Study of the Effects of the Wall Complaint Properties with Hall Currents on the Peristaltic Motion of Electrically Conducting Fluids with Heat and Mass Transfer/. الناشر جامعة عين شمس . كلية التربية . قسم الرياضيات . المؤلف جوده ، وسام أحمد محمد . هيئة الاعداد باحث / وسام أحمد محمد جوده مشرف / نبيل توفيق الضبع مشرف / أحمد يونس غالي مناقش / جلال محروس معتمد مناقش / محمد احمد حسن جابر تاريخ النشر 1/1/2020 عدد الصفحات 213 ص ؛ اللغة العربية الدرجة الدكتوراه التخصص الرياضيات (المتنوعة) تاريخ الإجازة 1/1/2020 مكان الإجازة جامعة عين شمس - كلية التربية - قسم االرياضيات الفهرس | يوجد فقط 14 صفحة متاحة للعرض العام |

المستخلصThe peristaltic motion of electrically conducting nanofluids with heat and mass transfer is playing an important role in the fluid mechanics fields, where it has many important bio-applications in different fields of science, such as biological, chemical, astronomical, geophysical and different industrial applications. The study of the physical effect on the fluid, such as the magnetic fields, the porous media, the wall complaint, the Hall currents and slip condition are very important in controlling the velocities, temperature and concentration of the fluid. Therefore, the thesis derives its importance as it deals with some problems in this area. The thesis consists of six chapters as follows:- Chapter 1 In this chapter, we presented a general introduction containing the following items: (1.1) Definitions of Fluid mechanics and bio-fluid mechanics (1.2) Newtonian and non-Newtonian fluids, and (Giesekus Fluid) Model (1.3) The heat and mass transfer and their basic equations (1.4) Electro-osmotic flow (1.5) Magnetohydrodynamics, Hall and ion slip effect and their basic equations (1.6) Suspension particle-fluid (1.7) Peristaltic transport (1.8) Nanofluids (1.9) Compliant walls (1.10) Homotopy perturbation method (HPM) (1.11) Traveling wave solutions Chapter 2 In this chapter, the magnetohydrodynamic (MHD) peristaltic transport of a nanofluid through porous medium is investigated. The effects of the slip conditions together with the wall properties are taken into account. The traveling wave technique is used to obtain the stream function distribution. Also, the homotopy perturbation method (HPM) is utilized to present the other distributions like; temperature and concentration. Finally, several diagrams are plotted to discuss and interpret the effects of various physical parameters of the considered problem. One of the important results of this paper is the behavior of the nanoparticle concentration with different values of Reynolds number, slip parameter, elasticity parameters, thermophoresis parameter, Hartman number and the Brownian motion parameter. The contents of this chapter have been published in “Fluid Mechanics Research International Journal” (2018). Chapter 3 In this chapter, the magnetohydrodynamic (MHD) peristaltic transport of a nanofluid with suspended particles through porous medium is investigated. The effects of the slip conditions, together with the wall properties are taken into account. The governing flow problem is based on the continuity, momentum, thermal energy, and concentration equation for fluid phase and particle phase. The normal modes analysis together with the approximation of the long wavelength and small Reynolds number, are relaxing the complexity of equations of motion. The exact solutions of the coupled partial differential equations are obtained. The behavior of the fluid velocities, stream function distribution, nanoparticle concentration, and temperature are obtained. Finally, several diagrams are plotted to discuss and interpret the effects of the various physical parameters of the problem. The contents of this chapter have been submitted for publication in “Thermal Science” (April 2019). Chapter 4: This chapter aims to studying the effects of the Hall currents, together with the wall properties and ion slip in magnetohydrodynamic (MHD) peristaltic transport of a nanofluid with suspended particles fluid through a porous medium. The mathematical formulation is presented for the fluid and the particle phases. The governing equations of motion were modeled under the constraints of low Reynolds number. The normal modes analysis was applied to relaxing the complexity of these equations. The analytic approximate solutions of these equations were obtained by using a perturbation method. The distributions of the velocities, stream function, nanoparticle concentration, temperature and pressure gradient were obtained. They were described through a set of graphs for various pertinent physical parameters. The effects of the Hall parameter and ion slip on the fluid reveal many interesting features, especially, on the pressure gradient profile. It was observed that when an ion slip parameter increases, the pressure gradient decreases in the middle of the channel. In contrast, in the wider part of the channel, this mechanism is reversed. The same influence of the Hall parameter of the pressure gradient was, also, seen. The contents of this chapter have been published as “International Journal of Applied Engineering Research” (2019). Chapter 5:This chapter investigates the electro-osmotic flow and Hall currents, together with the wall properties and slip condition in magnetohydrodynamic (MHD) peristaltic transport of a nanofluid through a porous medium. The governing equations of motion are analytically solved by using an approximation of the long wavelength and low Reynolds number. The analytical solution is obtained for the velocity of the fluid flow, temperature, nanoparticle concentration, stream function, and the pressure gradient. Moreover, the expressions for volumetric flow rate, skin friction coefficient, Nusselt number, and Sherwood number are given and analyzed. The effects of the physical parameters of the problem with these solutions are discussed and illustrated through a set of figures. The effects of the electro-osmotic parameter, Hall parameter and wall compliant parameters of the fluid reveal many interesting features. It is found that the streamlines form closed loops, creating a cellular flow pattern in the channel and the trapped bolus decreases as the electro-osmotic parameter increases. In contrast, the trapped bolus is increasing with the increase of the Hall parameter. The contents of this chapter have been published as “International Journal of Applied Engineering Research” (2019). Chapter 6: This chapter investigates the influence of heat and mass transfer on peristaltic transport of a non-Newtonian fluid through concentric annuli. The governing equations of motion of a non-Newtonian Giesekus model are analytically solved by using a perturbation method under the approximation of the long wavelength and low Reynolds number. The analytical distributions of the velocity, temperature, concentration, the pressure DROP and the Nusselt number are accomplished. Moreover, the expressions for the mass and heat transfer are given and analyzed. The effects of the various physical parameters of the problem are discussed and illustrated throughout a set of figures. It is found that the relaxation time of the visco-elastic fluids is greater than the Newtonian fluid. Furthermore, the Deborah number decreases the flow velocity, temperature, and concentration. Whereas, the flow velocity increases with the increasing of the mobility parameter. |