Some solutions for finitely conducting viscous MHD plane flows

Authors:
O. P. Chandna, C. E. Soteros and M. K. Swaminathan

Journal:
Quart. Appl. Math. **42** (1984), 143-158

MSC:
Primary 76W05; Secondary 58G99

DOI:
https://doi.org/10.1090/qam/745095

MathSciNet review:
745095

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**H. Alfvén,*On the motion of a charged particle in a magnetic field*, Ark. Mat. Astr. Fys.**27A**, 20 (1940) MR**0011466****[2]**J. G. Kingston and R. F. Talbot,*The solutions to a class of magnetohydrodynamic flows with orthogonal magnetic and velocity field distributions*, Z. Angew. Math. Phys.**20**, 956-965 (1969)**[3]**J. S. Waterhouse and J. G. Kingston,*Plane magneto hydrodynamic flows with constantly inclined magnetic and velocity fields*, Z. Angew. Math. Phys.**24**, 653-658 (1973) MR**0331970****[4]**O. P. Chandna and V. I. Nath,*On the uniqueness of MHD aligned flows with given streamlines*, Canad. J. Phys.**5**, 661-665 (1972)**[5]**V. I. Nath and O. P. Chandna,*On plane viscous magnetohydrodynamic flows*, Quart. of Appl. Math.**31**, 351-362 (1973)**[6]**V. I. Nath and O. P. Chandna,*On plane viscous MHD flows:*II, Quart. of Appl. Math.**32**, 337-341 (1974)**[7]**O. P. Chandna and G. P. Mathur,*Steady viscous magnetohydrodynamic flow in two dimensions with orthogonal magnetic and velocity field distributions*, Tensor, N.S.**28**, 269-272 (1974) MR**0356678****[8]**O. P. Chandna, H. Toews and V. I. Nath,*Plane MHD steady flows with constantly inclined magnetic and velocity fields*, Canad. J. Phys.**53**, 2613-2616 (1975) MR**0408437****[9]**M. R. Garg and O. P. Chandna,*Viscous orthogonal MHD flows*, SIAM J. Appl. Math.**30**, 577-585 (1976) MR**0411343****[10]**O. P. Chandna and M. R. Garg,*The flow of a viscous MHD fluid*, Quart of Appl. Math.**34**, 287-299 (1976) MR**0449175****[11]**O. P. Chandna and H. Toews,*Plane constantly-inclined MHD flow with isometric geometry*, Quart. of Appl. Math.**34**, 331-337 MR**0449174****[12]**O. P. Chandna and M. R. Garg,*On steady plane magnetohydrodynamic flows with orthogonal magnetic and velocity fields*, Int. J. Engng. Sci.**17**, 251-257 (1979)**[13]**R. M. Barron, O. P. Chandna and M. R. Garg,*Solutions in viscous constantly-inclined magnetohydrodynamics*, Jap. J. of Appl. Phys.**20**, 167-173 (1981)**[14]**R. M. Barron and O. P. Chandna,*Hodograph transformations and solutions in constantly-inclined MHD plane flows*, J. Engng. Math.**15**, 211-220 (1981)**[15]**O. P. Chandna and R. M. Barron,*Plane constantly inclined magnetogasdynamic flows*, Int. J. Engng. Sci.**19**, 409-419 (1981)**[16]**W. F. Ames,*Nonlinear partial differential equations in engineering*, Academic Press, New York, 1965 MR**0210342****[17]**P. Smith,*Substitution principle for MHD flows*, J. Math. Mech.**12**, 505-520 (1963)**[18]**S. I. Pai,*Magnetogasdynamics and plasma dynamics*, Springer-Verlag, Vienna, 1962 MR**0137449****[19]**M. H. Martin,*The flow of a viscous fluid*I, Arch. Rat. Mech. Anal.**41**, 266-286 (1971) MR**0342014**

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DOI:
https://doi.org/10.1090/qam/745095

Article copyright:
© Copyright 1984
American Mathematical Society