Summary
In the present paper, to study the non-linear terms in hydromagnetics, the concept of superposability or additivity of two hydromagnetic flows has been defined, and it has been shown that force-free fields (Chandrasekhar) and self-superposable fluid flows (Strang) are particular cases of this concept. Chandrasekhar's equations for axially symmetric hydromagnetic flows have been extended to viscous fluids, and it has been shown that some important results for non-viscous flows need not hold for viscous fluids.
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References
Strang, J. B., Superposable Fluid Motions. Commun. Fac. Sci. Un Ank. 1 (1948) 1.
Ram Ballabh, J. Indian Math. Soc. 16 (1952) 191.
Bhatnagar, P. L. and P. D. Varma, Proc. Indian Acad. Sci. 45 (1957) 281.
Ram Ballabh, Steady superposable Flows with cyclindrical Symmetry, Ganit 6 (1955) 15.
Lakshman Rao S. K., Proc. Ind. Acad. Sci. 45 (1957) 418.
Chandrasekhar, S., Proc. Nat. Acad. Sci. 42 (1956) 1.
Chandrasekhar, S. and K. Prendergast, Proc. Nat. Acad. Sci. 42 (1956) 5.
Cowling, T. G., Magneto hydrodynamics, Interscience Tracts on Physics and Astronomy No. 4, 1957.
Elsassar, W. M., Amer. J. Phys. 23 (1953) 500.
Cowling, T. G., The magnetic field of sun spots, Monthly Not. roy. Astr. Soc. 94 (1934) 39.
Pai, S. I., Viscous Flow Theory, Vol. 2, D. Van Nostrand Co., 1956.
Chandrasekhar, S., Axi-symmetric magnetic Fields and Flow Motions. Astrophys. J. 124 (1956) 232.
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Kapur, J.N. Superposability in magnetohydrodynamics. Appl. sci. Res. 8, 198–208 (1959). https://doi.org/10.1007/BF00411749
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DOI: https://doi.org/10.1007/BF00411749