Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation

International Journal of Mathematics and Mathematical Sciences

R. N. Chakrabarti¹  B. N. Mandal¹ 

[1] Department of Applied Mathematics, University College of Science, 92, A. P. C. Road, Calcutta 700 009, India;

关键词: modified Helmholtz's equation;    two-fluid medium;    source potentials;    surface of separation.;   

DOI  :  10.1155/S0161171286000200

来源: DOAJ

【 摘 要 】

Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length. The technique of deriving the potentials here is an extension of the technique used for the case of only time harmonic vertical line source. The present case is concerned with the two-dimensional modified Helmholtz's equation while the previous is concerned with the two-dimensional Laplace's equation.

【 授权许可】

Unknown