On steady incompressible three-dimensional hydromagnetic flows

Authors:
G. Prasad and T. Singh

Journal:
Proc. Amer. Math. Soc. **85** (1982), 79-86

MSC:
Primary 76W05; Secondary 53B50

MathSciNet review:
647903

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper certain theorems of theoretical interest have been established with the help of the geometrical properties of Faraday's surface (which is spanned by the flow and field lines). These theorems shed light on the behaviour of steady incompressible hydromagnetic flows. The complex-lamellar acceleration and simple geodesic motion admitted by such flows have also been studied.

**[1]**E. R. Suryanarayan,*On the geometry of streamlines in hydromagnetic fluid flows when the magnetic field is along a fixed direction*, Proc. Amer. Math. Soc.**16**(1965), 90–96. MR**0171488**, 10.1090/S0002-9939-1965-0171488-8**[2]**Robert H. Wasserman,*On the geometry of magnetohydrodynamic flow*, Quart. J. Mech. Appl. Math.**20**(1967), 219–231. MR**0229422****[3]**G. Purushotham,*On the geometry of streamlines in hydromagnetic fluid flows*, Tensor (N. S.)**25**(1972), 229-237.**[4]**G. Purushotham and S. S. Rao,*On complex-lamellar hydromagnetic steady gas flows*, Tensor (N. S.)**20**(1969), 343-346.**[5]**E. R. Suryanarayan,*Intrinsic equations for hydromagnetic flows*, Rev. Roumaine Math. Pures Appl.**17**(1972), 103–112. MR**0303837****[6]**A. Indrasena,*Steady rotating hydromagnetic flows*, Tensor (N.S.)**32**(1978), no. 3, 350–354. MR**516375****[7]**G. Prasad, S. S. Gangwar and S. B. Misra,*Intrinsic equations for the magnetofluid flows*, Indian J. Pure Appl. Math.**10**(1979), 204-208.**[8]**A. W. Marris and S. L. Passman,*Vector fields and flows on developable surfaces*, Arch. Rational Mech. Anal.**32**(1969), 29–86. MR**0235791****[9]**A. W. Marris,*On steady three-dimensional motions*, Arch. Rational Mech. Anal.**35**(1969), 122–168. MR**0253635**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
76W05,
53B50

Retrieve articles in all journals with MSC: 76W05, 53B50

Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1982-0647903-X

Keywords:
Hydromagnetic flows,
Faraday's surface,
complex-lamellar acceleration,
simple geodesic motion

Article copyright:
© Copyright 1982
American Mathematical Society