Abstract
A recent analysis by Gupta (1967) suggests that a layer of elastico-viscous fluid at rest between parallel plane boundaries may be in unstable equilibrium. This surprising result is attributable to the inadequacy of the constitutive equation adopted by Gupta as the basis for his analysis. An alternative constitutive relation, which takes account of the entire strain-history of the motion, leads to the more reasonable result that the equilibrium is stable whenever the fluid has a ‘fading memory’.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference9 articles.
1. Gupta, A. S. 1967 J. Fluid Mech. 28,17.
2. Wei, LAI 1967 Phys. Fluids,10,844.
3. Coleman, B. D. , Duffin, R. J. & Mizel, V. J. 1965 Arch. Rat. Mech. Anal. 19,100.
4. Coleman, B. D. & Noll, W. 1961 Rev. Modern Phys. 33,239.
5. Markovitz, H. & Coleman, B. D. 1964 Adv. Appl. Mech. 8, New York: Academic Press.
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