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A Model for Non‐Symmetric Flow of Suspensions through Cylindrical Channels
Author(s) -
Perkkiö J.
Publication year - 1990
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.19900701213
Subject(s) - shear rate , shear stress , mechanics , shear velocity , viscosity , suspension (topology) , shear flow , shear (geology) , apparent viscosity , materials science , open channel flow , volumetric flow rate , physics , flow (mathematics) , composite material , mathematics , homotopy , pure mathematics , turbulence
The velocity profile, shear rate, and shear stress in two‐ or three‐dimensional “layered” flow of a suspension were calculated analytically or numerically. The densities of the suspended particles and the suspension fluid were assumed to be different. The viscosity of the suspension was assumed to increase either exponentially or linearly from the top to the bottom of the channel. The maximum velocity was shifted towards the top of the channel, and the vertical skewing of the velocity profiles increased, as the viscosity of the lower layers increased. The shear rate was markedly decreased near the bottom of the channel, and increased near the top of the channel. The shear rate profile became highly nonlinear when the viscosity increased. The shear stress distribution was approximately piecewisely linear. The minimum of shear stress was shifted upwards similarly as the minimum of shear rate when the viscosity increased.