STABILITY OF A PLANE POISEUILLE FLOW OF A SECOND-ORDER FLUID

被引：39
作者：
CHUN, DH
SCHWARZ, WH
机构：
[1] Department of Chemical Engineering, Stanford University, Stanford, CA
来源：
PHYSICS OF FLUIDS | 1968年 / 11卷 / 01期
关键词：
D O I：
10.1063/1.1691778
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The effect of slight viscoelasticity on the hydrodynamic stability of a plane Poiseuille flow is investigated by the linearized method of small two-dimensional disturbances. The resulting equation is that of Orr-Sommerfeld, modified however by a non-Newtonian term. The constitutive equation used to represent the response of the fluid is that of a second-order fluid. The equations are solved numerically, and compared with the results of Thomas. The critical Reynolds number is found to be lowered as the magnitude of a non-Newtonian parameter increased.
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