العنوان Study of some problems on the motion of the Newtonian and non-Newtonian Nanofluids / المؤلف Mahmoud,Mohamed Saad Hussein. هيئة الاعداد باحث / Mohamed Saad Hussein Mahmoud مشرف / Nabil T. M. El dabe مشرف / Ahmed Y. Ghaly مشرف / Mona A. A. Mohamed تاريخ النشر 2018 عدد الصفحات 110p.: اللغة الإنجليزية الدرجة ماجستير التخصص الرياضيات التطبيقية تاريخ الإجازة 1/1/2018 مكان الإجازة جامعة عين شمس - كلية التربية - رياضيات تطبيقية الفهرس | Only 14 pages are availabe for public view |

AbstractThe aim of this thesis is to investigate some problems on the motion of the Newtoninan and non- Newtonian fluids. Three problems are discussed here. 1. MHD boundary layer chemical reacting flow with heat transfer of Eyring-Powell Nano fluid past a stretching sheet 2. MHD boundary layer Nano-Prandtl fluid flow past a Stretching sheet with heat and mass transfer 3. MHD boundary layer flow with heat and mass transfer of Oldroyed-B Nano fluid past a Stretching sheet through porous medium. The thesis consists of four chapters: In chapter 1, This chapter is a presentation for the following topics: 1.1 Nanofluids. 1.2 The Rheological behavior of fluids. 1.3 Classification of Non-Newtonian fluid. 1.4 Constitutive equations. 1.5 Heat transfer. 1.6 Mass transfer. 1.7 Magneto-hydrodynamics(MHD) 1.8 Boundary layer 1.9 Basic equations of a Newtonian or non-Newtonian fluid. 1.10 Runge Kutta Fehlberg method (RKF45) In chapter 2, In this chapter, we study the problem of laminar Nano non-Newtonian fluid flow through the boundary layer, which results from the stretching of a flat surface. The model of Eyring-Powell is used for the fluid. Constant normal magnetic field, mixed convection, chemical reaction, viscous dissipation, ohmic dissipation, Brownian and thermophoresis effect are considered. The problem is modulated mathematically by a system of partial differential equations, which describe the motion. A similarity solution is presented to transform this system to ordinary non–linear differential equations. The numerical solutions of these equations are obtained as functions of the physical parameters of the problem. Such as, Brownian number, thermophoresis number, Lewis number, Prandtl number, Magnetic parameter and Elastic parameter. Graphical evaluation is displayed to depict the intrinsic behavior of embedded parameters on velocity, temperature, and Nano particle concentration profiles. It is worthwhile to remark that this work has been accepted for publication in the ”Journal of microsystem technology”. In chapter 3, In this chapter, we have investigated the problem of laminar Nano non-Newtonian fluid flow through a boundary layer, which results from the stretching of a vertical flat surface. The model of Prandtl fluid is used for the flow. The system is stressed by a uniform normal magnetic field. The mixed 11 convection, Chemical reaction, Ohmic dissipation, Couple stresses, Brownian motion and thermophoresis are considered. The problem is modulated mathematically by a system of nonlinear partial differential equations which describe the motion. A similarity solution is presented to transform this system to ordinary non-linear differential equations. The numerical solutions of these equations are obtained as functions of the physical parameters of the problem. such as, Brownian motion number, thermophoresis number, Lewis number, Prandtl number, Magnetic parameter, mixed convection parameter, couple stress parameter, Eckert number, chemical reaction parameter , Elastic parameter, Nano Lewis number, modified Dufour parameter , and Dufour solutal Lewis number. Local Nusselt number, Sherwood number and Nano Sherwood number are discussed through graphs. Graphical evaluation is displayed to depict the intrinsic behavior of embedded parameters on velocity, temperature, solutal concentration, and Nano particle concentration profiles. In chapter 4, In this chapter an analysis of the problem of laminar Nano non-Newtonian fluid flow through the boundary layer which results from the stretching of a flat surface. The model of Oldroyed-B fluid model is used for the fluid. The system is stretched by a uniform normal magnetic field, mixed convection; Chemical reaction, Ohmic dissipation,flow heat generation/absorption, Brownian motion and thermophoresis are considered. The problem is modulated mathematically by a system of nonlinear partial differential equations which describe the motion. A similarity solution is presented to transform this system to ordinary non-linear differential equations. The system of these equations are solved numerically by using shooting method with Runge-Kutta fehlberg technique and The numerical solutions of these equations are obtained as a function of the physical parameters of the problem. such as, Brownian motion number, thermophoresis number, Darcy number, Lewis number, Prandtl number, Magnetic parameter, mixed convection parameter, heat generation/absorption parameter, Eckert number, chemical reaction parameter, Deborah number, Nano Lewis number , modified Dufour parameter, and Dufour solutal Lewis number. Graphical evaluation is displayed to depict the intrinsic behavior of embedded parameters on velocity, temperature, solutal concentration, and Nano particle concentration profiles. |