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Similarity Solutions for the Squeezed Film Flow between Two Rotating Naturally Permeable Discs
Author(s) -
Bhatt B. S.,
Hamza E. A.
Publication year - 1996
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.19960760514
Subject(s) - angular velocity , permeability (electromagnetism) , newtonian fluid , physics , similarity solution , rotation (mathematics) , mechanics , porous medium , torque , similarity (geometry) , chemistry , porosity , materials science , classical mechanics , thermodynamics , mathematics , geometry , composite material , membrane , boundary layer , biochemistry , image (mathematics) , artificial intelligence , computer science
A Newtonian fluid film squeezed between two rotating discs which are made up of naturally permeable (porous) materials and of finite thicknes has been considered. Similarity solution has been obtained when the discs at time t are separated by a distance H (1–αt) 1/2 , rotating with angular velocities proportional to Ω i (1–αt) −1 and of permeabilities k i (1–αt) (i – 1, 2 for lower, upper disc) where H, α −1 , Ω i and k i denote a representative length, time, angular velocities, and permeabilities of the discs, respectively. The effects of rotation and permeabilities have been studied on velocity profiles, the load capacity, and the torques which the fluid exerts on the discs. If we take the discs of same permeability, there exists a critical value of permeability above and below which the behaviour of various physical quantities changes.