ELECTROHYDRODYNAMIC KELVIN-HELMHOLTZ INSTABILITY WITH HEAT AND MASS TRANSFER
Emad Hassan Aly Farag;
Abstract
The main aim of this thesis which consists of three chapters and two appendices is to study two problems of:
Electrohydrodynamic Kelvin-Helmholtz instability with heat and mass
transfer in the presence of different electric field distributions for conducting fluids.
The first chapter includes a general introduction and a more specific introduction. The general introduction consists of the following items:
1- General deli nition of fluid mechanics.
2- Classification of fluids (Newtonian and Non- Newtonian fluids).
3- Motion of fluid particles. The following two methods are generally used, Lagrangian method and Eulerian method.
4- Some types of flow like uniform flow, steady flow, compressible flow, rotational flow, streamline flow and turbulent flow.
The specific introduction consists of the following definitions:
1- Electrohydrodynamic stability.
2- Kelvin-Helmholtz instability and Kelvin cats eyes
3- Heat, mass transfer and three mechanisms by which heat transfer occurs conduction, convection and radiation.
4- Governing equations.
In chapter two: We study the ,electrohydrodynamic instability of two superposed conducting, inviscid, incompressible and irrotational fluids in the presence of a tangential electric field, heat and mass transfer. We obtain the dispersion relation of order three with complex coefficients by applying five boundary conditions. Then we obtain the three conditions of stability and with the help of a Mathematica 3.0 for Students programme, we draw the region of the stability in 2D and then in 3D. The change of any one ofthe following variables a,a-2 ,E 2 , h,,h,and U, is studied.
In chapter three: We study the electrohydrodynamic instability of two superposed conducting, inviscid, incompressible and irrotational fluids in the presence of a normal electric field, heat and mass transfer.
Electrohydrodynamic Kelvin-Helmholtz instability with heat and mass
transfer in the presence of different electric field distributions for conducting fluids.
The first chapter includes a general introduction and a more specific introduction. The general introduction consists of the following items:
1- General deli nition of fluid mechanics.
2- Classification of fluids (Newtonian and Non- Newtonian fluids).
3- Motion of fluid particles. The following two methods are generally used, Lagrangian method and Eulerian method.
4- Some types of flow like uniform flow, steady flow, compressible flow, rotational flow, streamline flow and turbulent flow.
The specific introduction consists of the following definitions:
1- Electrohydrodynamic stability.
2- Kelvin-Helmholtz instability and Kelvin cats eyes
3- Heat, mass transfer and three mechanisms by which heat transfer occurs conduction, convection and radiation.
4- Governing equations.
In chapter two: We study the ,electrohydrodynamic instability of two superposed conducting, inviscid, incompressible and irrotational fluids in the presence of a tangential electric field, heat and mass transfer. We obtain the dispersion relation of order three with complex coefficients by applying five boundary conditions. Then we obtain the three conditions of stability and with the help of a Mathematica 3.0 for Students programme, we draw the region of the stability in 2D and then in 3D. The change of any one ofthe following variables a,a-2 ,E 2 , h,,h,and U, is studied.
In chapter three: We study the electrohydrodynamic instability of two superposed conducting, inviscid, incompressible and irrotational fluids in the presence of a normal electric field, heat and mass transfer.
Other data
| Title | ELECTROHYDRODYNAMIC KELVIN-HELMHOLTZ INSTABILITY WITH HEAT AND MASS TRANSFER | Other Titles | استقرار الاتزان الكهروهيدروديناميكى فى حالة حركة مسالة كلفن - هلمهولتز ووجود انتقال حرارى | Authors | Emad Hassan Aly Farag | Issue Date | 1999 |
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