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Slow Steady Flow of an Idealized Elastico‐viscous Liquid through a Cone with a Source/Sink at the Vertex
Author(s) -
Ramacharyulu N. Ch. Pattabhi
Publication year - 1967
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.19670470103
Subject(s) - mechanics , sink (geography) , newtonian fluid , vertex (graph theory) , physics , linearization , flow (mathematics) , conical surface , classical mechanics , geometry , mathematics , nonlinear system , graph , cartography , discrete mathematics , quantum mechanics , geography
Employing a linearization technique, the momentum equations and the general constitutive relations for idealized elastico‐viscous liquids of the Oldroyd type have been solved for the slow steady flow through a conical channel with a source or sink at the vertex. The non‐Newtonian effects have been discussed in detail. We notice regions of circulatory flow near the vertex separated from a purely radial flow at large distances.
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