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Some Stability And Flow Problems Of Magnetic Fluids., Somasundhar. Venkatasubramanian
Some Stability And Flow Problems Of Magnetic Fluids., Somasundhar. Venkatasubramanian
Electronic Theses and Dissertations
This thesis deals with the study of some stability and flow problems of magnetic fluids. In the first problem, the effect of rotation on the thermo-convective instability of a horizontal layer of a ferromagnetic fluid which is heated from below and influenced by a uniform vertical magnetic field is studied. The problem is analyzed when the fluid is confined between two free boundaries, between two rigid paramagnetic boundaries and between two rigid ferromagnetic boundaries. An exact solution is obtained for the free boundaries. A Galerkin technique is used to obtain the solutions for the paramagnetic and ferromagnetic boundaries. A comparative …
On Completely Pointed C(N)-Modules., Jeff. Hooper
On Completely Pointed C(N)-Modules., Jeff. Hooper
Electronic Theses and Dissertations
This thesis centers mainly on the simple Lie algebras of type $C\sb{n}$ over the complex numbers. A completely pointed module is defined to be an infinite dimensional simple highest weight module all of whose weight spaces are one dimensional. We construct examples of completely pointed $C\sb{n}$-modules and give a complete characterization of all such modules. We then study the tensor product of a completely pointed $C\sb{n}$-module with a finite dimensional module and classify all the possible central characters which can appear. Examples indicate that this tensor product is completely reducible and that all the possible central characters actually appear.Dept. of …
Flow And Stability Studies In Porous Media Based On Some Non-Darcian Models., Yu. Qin
Flow And Stability Studies In Porous Media Based On Some Non-Darcian Models., Yu. Qin
Electronic Theses and Dissertations
This thesis deals with the study of certain flow and stability problems in porous media using some non-Darcian models. It is divided into three parts, which are essentially independent of each other. The first part deals with the theoretical study related with the solution of the Brinkman equation. An exact Cartesian-tensor form solution of the Brinkman equation is found, which facilitates the study of various boundary value problems. The problems of the flow past a porous sphere and creeping flow past a porous spherical shell are considered to illustrate the point. Then, a theoretical look is taken at the problem …
Second Order Effects In An Elastic Half-Space Acted Upon By Non-Uniform Loads., Jianlin Guo
Second Order Effects In An Elastic Half-Space Acted Upon By Non-Uniform Loads., Jianlin Guo
Electronic Theses and Dissertations
In this thesis we consider the second order elasticity problems in an isotropic compressible and incompressible elastic half-space which is acted upon by the non-uniformly distributed loads. Non-uniform normal and shear loading are considered separately. In both cases we obtain the closed form solutions. The basic equations governing the finite elastic deformation are given in chapter I. Chapter II is concerned with the normal load. We employ the Papkovitch-Nueber displacement solution to both linear and second order problems. Several linear and a second order illustrations are presented. Solutions to the incompressible material are also considered. Chapter III discusses the shear …
A Constraint On Existence Of Torsion Free Lie Modules., Vahid. Tarokh
A Constraint On Existence Of Torsion Free Lie Modules., Vahid. Tarokh
Electronic Theses and Dissertations
For any simple Lie algebra L with any maximal toral subalgebra H, the classification of all simple H diagonalizable L modules having a finite dimensional weight space is known to depend on determining the simple torsion free L modules of finite degree. It is further known that the only simple Lie algebras which admit simple torsion free modules of finite degree are those of types $A\sb{n-1}$ and $C\sb{m}$. For the case of $A\sb{n-1}$ we show that there are no simple torsion free $A\sb{n-1}$ modules of degree k for $n\ge5$ and $2\le k\le n - 3.$ We conclude with some examples …