Open AccessSingularities in a two-fluid medium
Author(s) -
Rathindra Nath Chakrabarti,
B. N. Mandal
Publication year - 1982
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171283000630
Subject(s) - gravitational singularity , conservative vector field , singularity , mathematics , compressibility , infinity , upper and lower bounds , mathematical analysis , plane (geometry) , free surface , surface (topology) , geometry , mechanics , physics
We compute the irrotational motion of two fluids with a horizontal plane surface of separation, under gravity. The fluids are nonviscous and incompressible, the upper one of finite depth with a free surface; they contain a line singularity or a point singularity. We obtain the velocity potentials for each singularity located in the upper or the lower fluid; if the upper depth tends to infinity, known results are recovered
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom