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Unsteady three dimensional flow of thin liquid film due to the stretching of a surface
Author(s) -
Dandapat B.S.,
Singh S.N.,
Singh R.P.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200700171
Subject(s) - flow (mathematics) , materials science , mechanics , perturbation (astronomy) , thin film , surface (topology) , unsteady flow , momentum (technical analysis) , classical mechanics , physics , mathematics , geometry , nanotechnology , finance , quantum mechanics , economics
Three‐dimensional unsteady flow of thin liquid film over an impulsively stretching sheet is studied. Full 3D momentum equations are considered and solved analytically by using the singular perturbation technique to obtain an analytic expression for film thickness and liquid velocity inside the film. It is found that the film thickness decreases as time increases and it is independent of the stretching strength b at which the sheet is stretched along the y direction.