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Pulsatile Flow in a Rotating Duct of Varying Gap
Author(s) -
Goswami B.,
Nanda R. S.
Publication year - 1983
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.19830630604
Subject(s) - pulsatile flow , duct (anatomy) , mechanics , physics , oscillation (cell signaling) , angular velocity , perpendicular , boundary layer , mean flow , kinematics , mathematics , classical mechanics , geometry , turbulence , anatomy , chemistry , medicine , biochemistry , cardiology
The problem of pulsatile flow in a duct of varying gap rotating with an angular velocity Ω about an axis perpendicular to the axis of the duct is analysed. Boundary layer approximations are invoked and the resulting equations are solved by a process of sucessive approximations. The first order harmonic and the second order steady mean velocity and pressures are obtained. The overall behaviour of the solution is characterised by two parameters X 2 = Ωa 2 / v and α = ωa 2 / v where a is the mean half width of the channel, ω the frequency of oscillation and v is the kinematic viscosity. The details of the response of the fluid to the imposed oscillations are examined.