Three Part Boundary Value Problems in Potential and Axially Symmetric Generalized Potential Theories with Some Applications in Elasticity and Fluid Dynamics. I

1974 ◽  
Vol 37 (2) ◽  
pp. 518-523 ◽  
Author(s):  
Mohammed Latie Pasha
Keyword(s):  
Fluid Dynamics ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Axially Symmetric ◽  
Generalized Potential

scholarly journals An axially symmetric forced convection problem

1975 ◽  
Vol 20 (1) ◽  
pp. 1-17
Author(s):  
J. A. Belward
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Convection Heat Transfer ◽  
Fundamental Solutions ◽  
Integral Representations ◽  
Original Equation ◽  
Transfer Model ◽  
Axially Symmetric ◽  
Simple Diffusion ◽  
Diffusion Convection

AbstractA simple diffusion-convection heat transfer model is formulated which leads to an axially symmetric partial differential equation. The equation is shown to be closely related to a second one which is adjoint to the original equation in one variable can and be interpreted as a description of another diffusion-convection model. Fundamental solutions of the original equation are constructed and interpreted with reference to both models. Some boundary value problems are solved in series form and integral representations of the solutions are also given. The boundary value problems are shown to be equivalent to an integral equation and the correspondence between the two formulations is understood in terms of the two diffusion-convection problems. A Péclet number is defined in one of the boundary value problems and the behaviour of the solutions is studied for large and small values of this parameter.

RADIATION FROM SOURCES IMMERSED IN COMPRESSIBLE PLASMA MEDIA

1964 ◽  
Vol 42 (9) ◽  
pp. 1760-1780 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Fluid Dynamics ◽  
Boundary Value Problems ◽  
Cold Plasma ◽  
Boundary Value ◽  
Continuum Theory ◽  
Acoustic Velocity ◽  
Compressible Plasma ◽  
Dielectric Cavity ◽  
Approach Zero ◽  
Electron Acoustic

Boundary value problems involving dielectric and compressible plasma media are considered. The geometrical configurations are idealized to the extent that Maxwell's equations, when combined with continuum theory of fluid dynamics, are separable. The specific problems considered are motivated by a need to understand radiation of sources immersed in compressible isotropic ionized media. Various results for cold plasma configurations are recovered when the (electron) acoustic velocity is allowed to approach zero. Some attention is given to phenomena related to the resonance in the dielectric cavity which contains the sources. In particular, it is shown that the resonant conditions are modified appreciably by the finite compressibility of the surrounding plasma.

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