期刊
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
卷 159, 期 1-3, 页码 137-140出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2009.03.003
关键词
Linear stability; Upper convected Maxwell model
类别
资金
- National Science Foundation [DMS-0707727]
Although parallel shear flows of the upper convected Maxwell fluid are stable, recent articles [R. Kupferman, On the linear stability of plane Couette flow for an Oldroyd-B fluid and its numerical approximation, J. Non-Newt. Fluid Mech. 127 (2005) 169-190; C.R. Doering, B. Eckhardt,J. Schumacher, Failure of energy stability in Oldroyd-B fluids at arbitrarily low Reynolds numbers, J. Non-Newt. Fluid Mech. 135 (2006) 92-96] have exhibited transient growth at high Weissenberg number which is analogous to that observed in high Reynolds number Newtonian shear flows. The perturbations involved are pure stress perturbations with zero velocities. In this paper, we extend the analysis of such stress modes in plane Couette How to the three-dimensional case. We also exhibit a class of stress pressure modes in plane Poiseuille flow. Finally, we discuss pure stress modes in elongational flow. (C) 2009 Elsevier B.V. All rights reserved.
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