On the Analogy between Filtration Flow of Newtonian Fluid and Free Flow of Micropolar Fluid

Analytic solutions of boundary value problems have been compared for two kinds of flow, the filtration of a Newtonian fluid in a Brinkman medium and the free flow of a micropolar fluid. Both the flows are considered in a plane and a cylindrical channel with impermeable walls, where the no-slip condi...

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Bibliographic Details
Published in:Petroleum chemistry 2018-06, Vol.58 (6), p.503-507
Main Author: Khanukaeva, D. Yu
Format: Article
Language:English
Subjects:
Boundary value problems
Chemistry
Chemistry and Materials Science
Filtration
Free flow
Industrial Chemistry/Chemical Engineering
Micropolar fluids
Newtonian fluids
Thin films
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Summary:Analytic solutions of boundary value problems have been compared for two kinds of flow, the filtration of a Newtonian fluid in a Brinkman medium and the free flow of a micropolar fluid. Both the flows are considered in a plane and a cylindrical channel with impermeable walls, where the no-slip condition is applied. An analogy between these solutions has been revealed. The conditions for equivalence of the flows have been formulated.
ISSN:0965-5441
1555-6239
DOI:10.1134/S0965544118060051