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An application of MACSYMA in solving the laminar flow of micropolar fluid in a meandering channel
Author(s) -
Easwaran C.,
Majumdar S. R.
Publication year - 1987
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450650401
Subject(s) - laminar flow , curvature , perturbation (astronomy) , mechanics , mathematics , shear stress , pressure gradient , geometry , physics , quantum mechanics
Plane laminar micropolar fluid flow in a meandering channel of constant width is considered. A perturbation scheme based on the assumption of slow and slight curvature of the centreline is used to study the effect of curvature and various micropolar parameters on some flow properties. The symbol manipulation system MACSYMA is used to generate the successive perturbation equations. The effects of two different types of boundary conditions are investigated. The second approximation is given for a general centreline geometry. Results indicate that to the order of approximation considered, pressure gradient along the centreline is increased while shear stress on the walls is decreased for micropolar fluids and the effect of curvature becomes more pronounced with increasing micropolarity.