الفهرس | Only 14 pages are availabe for public view |
Abstract he purpose of this thesis is to _nd solutions of some problems on the motion of non-Newtonian uids with heat and mass transfer through porous media. These problems are of great importance because of their multiple applications in various scienti_c _elds including biological, chemical, physical, industrial such as aerosol collection (thermal precipitator), micro contamination control, and removing small particles from gas streams, nuclear reactor safety, studying the particulate material deposition on turbine blades, and also in determining exhaust gas particle trajecto- ries from combustion devices. As well as these problems have an important appli- cations in the _eld of medicine and the medical industries such as industrial devices like arti_cial respiration and kidney dialysis and other. Where, the ow of non- Newtonian uids such as blood and di_erent liquids within the human body devices considered an application of bio-uids. Also, the results that have been obtained from our thesis can be used in the following applications: develops and manufac- tures wellhead control panels, and chemical injection systems; Including wellhead safety control systems, metallurgical process, polymer extrusion, glass blowing, crys- tal growing, oil recovery, food processing, paper making, Ultra-_ltration, Transfer of fuels and lubricants. The thesis consists of four chapters with an Arabic and English sum- maries and list of publications, list of Bibliography (References), list of _gures and list of tables. In chapter one: Introduction, we presented a preface to the following topics: 1.1 Introduction to Fluid Dynamics 1.2 Fluid Mechanics Basics of Rheology Equations 1.3 Newtonian uids 1.4 Non-Newtonian uids 1.5 Classi_cation of non-Newtonian uids 1.6 Some di_erent models of non-Newtonian uids 1.7 Magneto hydrodynamics (MHD) 1.8 Hall Currents E_ect 1.9 Flow through porous medium 1.10 Heat Transfer 1.11 Mass Transfer 1.12 Dimensionless numbers in convective heat and mass transfer 1.13 Couple stress in uids 1.14 Thermophoresis 1.15 Some of Di_erent Applications 1.16 Survey on some previous studies related to this work. v In chapter two: we studied the inuence of thermophoresis on unsteady ow of non-Newtonian uid with heat and mass transfer through a porous medium over a permeable in_nite ver- tical plate. The considered non-Newtonian uid follows a second grade model and is stressed by a uniform strong magnetic _eld; so the Hall currents are taken into consideration. The problem is modulated mathematically by a system of coupled non-linear partial di_erential equations which pertaining to describe the continuity, momentum, energy and concentration. These equations involve the e_ects of ther- mal radiation, heat generation, thermal di_usion (Soret), viscous dissipation and chemical reaction. The numerical solutions of the dimensionless equations are found as a functions of the physical parameters of this problem. The numerical formulas of the velocity components (u) and (w), temperature (_) and concentration (C) as well as Nusselt number (Nu) and Sherwood number (Sh) are computed. The physical parameters e_ects of the problem on these formulas are described and illustrated graphically through some _gures and tables. It is found from _gures that: • There is no ow in z -axis direction in the absence of magnetic _eld. • The increase in thermophoretic parameter (_ ) leads to reduce primary and secondary velocities as well as temperature pro_le, while enhancing the con- centration. • The concentration C(t; y) is independent of Soret parameter (Sr) at certain values of (y) that locate among y = 0:6 and y = 0:7. But, before and after this region, the e_ect of (Sr) has been observed. • Increase in heat source parameter (_) enhance and increase the primary and secondary velocities as in the case of temperature pro_les. • Increasing in chemical reaction () leads to increase in velocities and its im- portant to enhance the concentration. The results of this problem have been published in the: Applied Mathe- matics & Information Sciences (AMIS) 1(11) (2017) 267- 280 vi In chapter three: A mathematical model analysis has been developed to investigate the e_ect of ther- mophoresis on unsteady ow of non-Newtonian uid with heat and mass transfer past a permeable in_nite vertical plate. The uid is obeying to Kuvshinski model and is stressed by uniform magnetic _eld. The problem is modulated mathemat- ically by a system of non-linear partial di_erential equations which pertaining to describe the continuity, momentum, energy and concentration. These equations in- volve the e_ects of thermal radiation, radiation absorbing, viscous dissipation and chemical reaction. The numerical solutions of the dimensionless equations are found as a functions of the physical parameters of this problem. The numerical formulas of the velocity (u), temperature (_) and concentration (C) as well as skin friction coe_cient ( _ _), Nusselt number (Nu) and Sherwood number(Sh) are computed. The physical parameters e_ects of the problem on these formulas are described and illustrated graphically through some _gures and tables: It is found from _gures that: • Approximately, there is no ow of the uid at value of magnetic _eld M = 6. • The increase in thermophoretic parameter (_ > 1) leads to reducing the ve- locity u(y; t) as well as temperature pro_les and concentration layers • Increase in radiation absorption parameter (Ra) enhances and increases the velocity u(y; t) as well as (Ra) enhancing the temperature pro_les rapidly. • Increasing in chemical reaction () leads to reduction the velocity and tem- perature as well as reduce the concentration pro_les. The results of this problem have been accepted for publication in: ”American Journal of Heat and Mass Transfer” vii In chapter four: We presented a theoretical study which it has been developed to investigate the inuence of thermophoresis and couple stresses on steady ow of non-Newtonian uid with free convective heat and mass transfer over a channel bounded by two permeable plates. The considered non-Newtonian uid is obeying to a viscoelastic model. The problem is modulated mathematically by a system of non-linear dif- ferential equations which pertaining to describe the continuity, momentum, energy and concentration. These equations involve the e_ects of viscous dissipation and chemical reaction. The numerical solutions of the dimensionless equations are found as a functions of the physical parameters of this problem. The numerical formulas of the velocity (u), temperature (_) and concentration (_) as well as skin friction coe_cient (_ _) Nusselt number (Nu) and Sherwood number (Sh) are computed. The physical parameters e_ects of the problem on these formulas are described and illustrated graphically through some _gures and tables. It is found from _gures that: • There is no ow of the uid at value of couple stress inverse parameter a = 0:1. • The increase in thermophoretic parameter (_ ) leads to reduction of the velocity pro_les u(y) as well as concentration layers. • Increasing in Prandtl number (Pr) leads to a decrease in velocity and the temperature pro_les. • The velocity pro_les of the uid is maximum at the center of the passageway and zero at the plates. • As a result of the e_ect of the previous parameters on the concentration and temperature layers. It is found that the uid be more concentrated (or high temperature) in the adjacent side of the suction process of the plate which located at y = 1. The results of this problem have been submitted to the: International Journal of Fluid Mechanics Research (FMR) |