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Cauchy-Riemann (Cr)- Submanifolds Of Semi-Riemannian Manifolds With Applications To Relativity And Hydrodynamics., Ramesh. Sharma
Cauchy-Riemann (Cr)- Submanifolds Of Semi-Riemannian Manifolds With Applications To Relativity And Hydrodynamics., Ramesh. Sharma
Electronic Theses and Dissertations
Recently, there has been a keen interest of showing an interplay between definite and indefinite (in particular, Lorentzian) Riemannian geometries Flaherty (1976), Duggal (1978, 86), Beem and Ehrlich (1981), O'Neill (1983) etc . The objective of my dissertation is to present a few fresh ideas on this fruitful relationship, in reference to some applications in Relativity and Hydrodynamics. Our working spaces are the Cauchy-Riemann CR -submanifolds of a Hermitian manifold, introduced by Bejancu (1978). This choice is motivated by the fact that a CR-submanifold can be Lorentzian as opposed to a Hermitian manifold which, according to Flaherty (1976), cannot have …
Mhd Flows With Arbitrary Angle Between Velocity And Magnetic Fields., Kok-Thai. Chew
Mhd Flows With Arbitrary Angle Between Velocity And Magnetic Fields., Kok-Thai. Chew
Electronic Theses and Dissertations
This dissertation is devoted to a mathematical study to steady magnetohydrodynamic flows. Steady plane flows of viscous incompressible electrically conducting fluid having infinite electrical conductivity are studied under the assumption that the angle between the velocity field and the magnetic field is varying in the flow region and plane flows of viscous incompressible electrically conducting fluid having finite electrical conductivity are studied under the assumption that the magnetic field and the velocity field are either orthogonal or align to each other throughout the flow region. 1. Steady infinitely conducting variably inclined plane flows of incompressible viscous MHD fluids. By a …
Finite-Difference Algorithms For Inviscid, Incompressible Flow Over An Arbitrary Symmetric Profile., George William. Grossman
Finite-Difference Algorithms For Inviscid, Incompressible Flow Over An Arbitrary Symmetric Profile., George William. Grossman
Electronic Theses and Dissertations
This thesis studies steady, two dimensional flow of an inviscid, incompressible fluid over an arbitrary symmetric profile. Flows with zero and variable vorticity are considered. In the present work a numerical algorithm is given for a class of lows that can also be solved by perturbation techniques. However, reliable solutions by the perturbation technique, especially in the case of rotational flows, require complicated analytical methods even in the case of the circle. Thus, one of the goals of this thesis is to provide a fast and efficient algorithm from which a solution to several standard problems can be obtained with …
Flow Problems Of The Fluids Of Differential Type., A. M. Siddiqui
Flow Problems Of The Fluids Of Differential Type., A. M. Siddiqui
Electronic Theses and Dissertations
This dissertation deals with various flow problems in graded (ordered) Non-Newtonian fluids. (1) Solutions for the equations of motion of an incompressible second-grade fluid are obtained by hodograph-transformation method. By introducing a suitable-Legendre-transform function the basic equations are recast in terms of this function, and the conditions which this function should satisfy are stated. Several illustrations of the method are considered and the results for streamlines, velocities and pressure distribution are compared with the corresponding results for viscous fluid. (2) Inverse solutions of the equations of motion of an incompressible second grade fluid are obtained by assuming certain forms for …