Hodograph transformation in steady plane rotating MHD flows

1987 ◽  
Vol 43 (4) ◽  
pp. 347-353 ◽  
Author(s):  
S. N. Singh ◽  
D. D. Tripathi
Keyword(s):  
Mhd Flows ◽  
Hodograph Transformation ◽  
Steady Plane

Steady Transverse Plane Magnetogasdynamic Flows

1972 ◽  
Vol 50 (21) ◽  
pp. 2565-2567 ◽  
Author(s):  
O. P. Chandna
Keyword(s):  
Transverse Plane ◽  
Compatibility Equation ◽  
Mhd Flows ◽  
Plane Transverse ◽  
Steady Plane

A compatibility equation is obtained for steady plane transverse MHD flows and, as an example, solutions are obtained for radial flows. The geometric implication, when the compatibility equation does not hold, is also determined.

scholarly journals The hodograph transformation in trans-sonic flow. I. Symmetrical channels

1947 ◽  
Vol 191 (1026) ◽  
pp. 323-341 ◽  
Keyword(s):  
Equations Of Motion ◽  
Physical Plane ◽  
Adiabatic Flow ◽  
Independent Variables ◽  
Hodograph Plane ◽  
Sonic Flow ◽  
In Trans ◽  
Hodograph Transformation ◽  
Steady Plane ◽  
The Right

It seems likely that any general theory of compressible flow applicable to problems with regions both of sub- and supersonic flow (such problems have been called ‘trans-sonic’) must be based on the ‘hodograph transformation’ (due originally to Molenbroek 1890 and Chaplygin 1904). This is because in the hodograph plane, in which the independent variables are the magnitude and direction of the velocity, the equations of motion are linear; while in the physical plane they are not even approximately linear for trans-sonic problems. But the hodograph transformation presents difficulties quite apart from those of applying suitable boundary conditions. It has in fact singularities, notably near the sonic speed and the velocity at infinity. This fact considerably elaborates its use. In the present paper a study is initiated of the application of the hodograph transformation to trans-sonic problems by considering the steady plane adiabatic flow of a gas in symmetrical channels in which the velocity rises from zero at infinity on the left to a supersonic value at infinity on the right; this is a problem easier to begin on than those with a body inside the field of flow, which are known in practice to involve shock-waves and hence regions of non-adiabatic flow.

scholarly journals Hamel’s problem for steady plane orthogonal MHD flows

1992 ◽  
Vol 50 (4) ◽  
pp. 601-611
Author(s):  
P. V. Nguyen ◽  
O. P. Chandna
Keyword(s):  
Mhd Flows ◽  
Steady Plane

Solutions for steady plane orthogonal MHD flows

1990 ◽  
Vol 29 (7) ◽  
pp. 773-778
Author(s):  
C. Thakur ◽  
R. B. Mishra
Keyword(s):  
Mhd Flows ◽  
Steady Plane

Experiments with turbulent rotating MHD flows in an annular gap

2012 ◽  
Vol 48 (1) ◽  
pp. 43-50 ◽  
Author(s):  
B. Mikhailovich ◽  
A. Shapiro ◽  
S. Sukoriansky ◽  
I. Zilberman
Keyword(s):  
Mhd Flows ◽  
Annular Gap
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