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Poiseuille and Couette flow of non‐Newtonian fluids
Author(s) -
Serrin James
Publication year - 1959
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.19590390706
Subject(s) - hagen–poiseuille equation , weissenberg number , couette flow , newtonian fluid , viscosity , non newtonian fluid , mechanics , flow (mathematics) , physics , classical mechanics , thermodynamics
Abstract Some years ago Rivlin discovered several exact solutions of the equations of motion of a non‐Newtonian fluid, corresponding to the well‐known Poiseuille and Couette solutions of the Navier‐Stokes equations. In this paper the physical nature of Rivlin's solutions is clarified, and a method is proposed for determining the value of the cross‐viscosity coefficient. In addition, it is shown how certain experiments of Merrington and Weissenberg can be explained by means of the results of the paper.