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
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Additional Information
- Hannes Alfvén, On the motion of a charge particle in a magnetic field, Ark. Mat. Astr. Fys. 27A (1941), no. 22, 20. MR 0011466
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)
- John S. Waterhouse and John G. Kingston, Plane magnetohydrodynamic flows with constantly inclined magnetic and velocity fields, Z. Angew. Math. Phys. 24 (1973), 653–658 (English, with French summary). MR 331970, DOI https://doi.org/10.1007/BF01588165
O. P. Chandna and V. I. Nath, On the uniqueness of MHD aligned flows with given streamlines, Canad. J. Phys. 5, 661–665 (1972)
V. I. Nath and O. P. Chandna, On plane viscous magnetohydrodynamic flows, Quart. of Appl. Math. 31, 351–362 (1973)
V. I. Nath and O. P. Chandna, On plane viscous MHD flows: II, Quart. of Appl. Math. 32, 337–341 (1974)
- 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 (1974), 269–272. MR 356678
- H. Toews and O. P. Chandna, Plane magnetofluiddynamic flows with constantly inclined magnetic and velocity fields, Canad. J. Phys. 52 (1974), 753–758. MR 408437, DOI https://doi.org/10.1139/p74-103
- M. R. Garg and O. P. Chandna, Viscous orthogonal MHD flows, SIAM J. Appl. Math. 30 (1976), no. 3, 577–585. MR 411343, DOI https://doi.org/10.1137/0130051
- O. P. Chandna and M. R. Garg, The flow of a viscous MHD fluid, Quart. Appl. Math. 34 (1976/77), no. 3, 287–299. MR 449175, DOI https://doi.org/10.1090/S0033-569X-1976-0449175-1
- O. P. Chandna and H. Toews, Plane constantly-inclined MHD flow with isometric geometry, Quart. Appl. Math. 34 (1976/77), no. 4, 331–337. MR 449174, DOI https://doi.org/10.1090/S0033-569X-1977-0449174-5
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)
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)
R. M. Barron and O. P. Chandna, Hodograph transformations and solutions in constantly-inclined MHD plane flows, J. Engng. Math. 15, 211–220 (1981)
O. P. Chandna and R. M. Barron, Plane constantly inclined magnetogasdynamic flows, Int. J. Engng. Sci. 19, 409–419 (1981)
- W. F. Ames, Nonlinear partial differential equations in engineering, Academic Press, New York-London, 1965. MR 0210342
P. Smith, Substitution principle for MHD flows, J. Math. Mech. 12, 505–520 (1963)
- Shih-I Pai, Magnetogasdynamics and plasma dynamics, Springer-Verlag, Vienna; Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0137449
- M. H. Martin, The flow of a viscous fluid. I, Arch. Rational Mech. Anal. 41 (1971), 266–286. MR 342014, DOI https://doi.org/10.1007/BF00250530
H. Alfvén, On the motion of a charged particle in a magnetic field, Ark. Mat. Astr. Fys. 27A, 20 (1940)
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)
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)
O. P. Chandna and V. I. Nath, On the uniqueness of MHD aligned flows with given streamlines, Canad. J. Phys. 5, 661–665 (1972)
V. I. Nath and O. P. Chandna, On plane viscous magnetohydrodynamic flows, Quart. of Appl. Math. 31, 351–362 (1973)
V. I. Nath and O. P. Chandna, On plane viscous MHD flows: II, Quart. of Appl. Math. 32, 337–341 (1974)
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)
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)
M. R. Garg and O. P. Chandna, Viscous orthogonal MHD flows, SIAM J. Appl. Math. 30, 577–585 (1976)
O. P. Chandna and M. R. Garg, The flow of a viscous MHD fluid, Quart of Appl. Math. 34, 287–299 (1976)
O. P. Chandna and H. Toews, Plane constantly-inclined MHD flow with isometric geometry, Quart. of Appl. Math. 34, 331–337
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)
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)
R. M. Barron and O. P. Chandna, Hodograph transformations and solutions in constantly-inclined MHD plane flows, J. Engng. Math. 15, 211–220 (1981)
O. P. Chandna and R. M. Barron, Plane constantly inclined magnetogasdynamic flows, Int. J. Engng. Sci. 19, 409–419 (1981)
W. F. Ames, Nonlinear partial differential equations in engineering, Academic Press, New York, 1965
P. Smith, Substitution principle for MHD flows, J. Math. Mech. 12, 505–520 (1963)
S. I. Pai, Magnetogasdynamics and plasma dynamics, Springer-Verlag, Vienna, 1962
M. H. Martin, The flow of a viscous fluid I, Arch. Rat. Mech. Anal. 41, 266–286 (1971)
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Article copyright:
© Copyright 1984
American Mathematical Society