The Journal of the Indian Mathematical Society

Ram Ballabh ¹

Affiliations
1 Lucknow University, IN

Abstract

The present paper aims at discussing two-dimensional fluid motions superposable on one another. The case where one flow is rotational and the other irrotational is capable of being solved easily; and the problem of self-superposability which has been the subject of interesting studies on the continent and elsewhere in a different garb, effects considerable simplification in Navier-Stokes equations.

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Ram Ballabh ¹

Affiliations
1 Lucknow University, IN

Abstract

The object of this paper is to investigate the types of steady rotational and irrotational uniplanar motions in an inviscid homogeneous incompressible fluid which are mutually superposable. First, a general discussion of steady uniplanar motions superposable on an irrotational flow is given, and then the particular case of two-dimensional motions is considered.

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Ram Ballabh ¹

Affiliations
1 Lucknow University, IN

Abstract

In a previous paper we have developed the idea of superposability in Cartesian coordinates. The treatment in cylindrical and spherical polar coordinates gives rise to certain new results which we propose to discuss in the present paper. Superposability being a physical property, it is needless to establish the theory in these two coordinate systems, and we state without proof two results which we shall employ in our analysis.

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