Multiple solutions and hysteresis in steady parallel viscous flows
作者:
Stephen H. Davis,
Gregory A. Kriegsmann,
Robert L. Laurence,
S. Rosenblat,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1983)
卷期:
Volume 26,
issue 5
页码: 1177-1182
ISSN:0031-9171
年代: 1983
DOI:10.1063/1.864265
出版商: AIP
数据来源: AIP
摘要:
A study is made of flows of viscous fluids when viscosity varies with temperature according to an Arrhenius law, and when viscous dissipation is taken into account. It is shown that for fluids with highly temperature‐sensitive viscosity the graph of shear rate against shear stress is an S‐shaped curve, with either one or three values of shear rate for given shear stress. In this situation hysteresis can occur if steady unidirectional flow is maintained. The velocity and temperature profiles are calculated, and the manner in which the temperature‐sensitivity parameter affects the conclusions is discussed. The calculations serve as criteria for evaluating the importance of viscous‐heating effects in applications.
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