Three-dimensional disturbances of planar viscometric flow |
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Authors: | H Ramkissoon E Becker U Akbay |
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Institution: | 1. Department of Mathematics, University of the West Indies, St. Augustine, Trinidad, West Indies 2. Institut für Mechanik, Technische Hochschule, Hochschulstr. 1, D-6100, Darmstadt, F.R.G
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Abstract: | This paper examines three-dimensional disturbances of a plane steady shear flow of simple fluids with short memory. Under the assumption of nearly-viscometric flow, constitutive equations are derived and then a general form of the Reynolds-Orr energy equation is obtained. With the aid of this derived energy formula, sufficient conditions are generated for the stability of three-dimensional disturbances of the planar viscometric flow. These conditions are analysed and a comparison is made with the corresponding two-dimensional stability problem. There is a strong indication that the basic flow is less stable against three-dimensional disturbances than against two-dimensional ones. |
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