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Unsteady Stokes Flow in a Distensible Pipe
Author(s) -
Luchini P.,
Lupo M.,
Pozzi A.
Publication year - 1991
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.19910711002
Subject(s) - eigenfunction , pipe flow , mechanics , flow (mathematics) , unsteady flow , inlet , plug flow , mathematics , physics , mathematical analysis , turbulence , engineering , eigenvalues and eigenvectors , mechanical engineering , quantum mechanics
In this paper the solution is presented of the problem of unsteady Stokes flow in a semi‐infinite distensible pipe, with initial conditions given at the pipe inlet. The solution is obtained through an eigenfunction expansion, utilizing Van Kampen's method for the determination of the expansion coefficients. In this way a complete description is obtained of the velocity and pressure profiles throughout the pipe.