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Hodograph transformations and solutions in constantly inclined MHD plane flows

โœ Scribed by R. M. Barron; O. P. Chandna

Publisher
Springer
Year
1981
Tongue
English
Weight
379 KB
Volume
15
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

In this work we develop a technique, based on the hodograph method, for the study of steady plane, viscous, incompressible constantly inclined MHD flows.

The equation describing the diffusion of magnetic field is used to write the magnetic field vector in terms of the velocity vector field and the angle between the two vector fields. The hodograph method (and its modifications) is applied to reduce the problem to that of determining the Legendre transform of the stream function. The resulting partial differential equation is studied for several flow problems to illustrate the advantages of the theory.

This paper also employs a similar approach as the above to study flows in the magnetograph plane.

๐Ÿ“œ SIMILAR VOLUMES

Hodograph transformations and solutions
Hodograph transformations and solutions in variably inclined MHD plane flows
โœ O. P. Chandna; R. M. Barron; K. T. Chew ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Springer ๐ŸŒ English โš– 706 KB

By a variably inclined MHD plane flow we mean a flow in which the magnetic and velocity fields are coplanar, the angle between these vector fields is variable and all the flow variables are functions of two coordinates and time. No work seems to have been done for these general plane MHD flows, even