One-dimensional stability of dissipative Couette flow
type: Item
instance of: scholarly article
title: One-dimensional stability of dissipative Couette flow
zbMATH Open document ID: 0634.76048
DOI: 10.1016/0021-8928(86)90046-8
author: V. L. Mazo
author: Michael S. Ruderman
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: Non-stationary one-dimensional flow, and especially the one-dimensional stability of a stationary Couette flow of a viscous incompressible fluid is considered, taking into account dissipative heat, under the assumption that the viscosity decreases fairly rapidly, e.g., exponentially, as the temperature increases. It is shown that when the fluid is very viscous, the non-stationary plane problem can be reduced to a non-stationary problem of heat transfer in media with heat sources depending non- linearly on temperature. The dependence of the heat sources on temperature in the latter problem differs subtantially for different types of boundary conditions in the initial problem. If a tangential stress is specified at the boundary, then the density of the heat sources will depend on temperature locally. When the velocities of the boundary planes are given, the density of heat sources will depend on the temperature distribution as a whole, over the volume.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 4033356
zbMATH Keywords: Non-stationary one-dimensional flow
zbMATH Keywords: one-dimensional stability
zbMATH Keywords: stationary Couette flow
zbMATH Keywords: non-stationary plane problem
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90046-8
OpenAlex ID: W1972316601
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description: scientific article; zbMATH DE number 4033356