Estep, D.J. and Verduyn Lunel, S.M. and Williams, R.D. (2001) Analysis of Shear Layers in a Fluid with TemperatureDependent Viscosity. Journal of Computational Physics, 173 . pp. 1760. http://resolver.caltech.edu/CaltechCACR:2001.191

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Abstract
The presence of viscosity normally has a stabilizing effect on the flow of a fluid. Howerver, experiments show that the flow of a fluid in which viscosity decreases as temperature increases tends to form shear layers, narrow regions in which the velocity of the fluid changes sharply. In general, adiabatic shear layers are observed not only in fluids but also in thermoplastic materials subject to shear at a highstrain rate and in combustion and there is widespread interest in modeling their formation. In this paper, we investigate a wellknown model representing a basic system of conservation laws for a onedimensional flow with temperaturedependent viscosity using a combination of analytical and numerical tools. We present results to substantiate the claim that the formation of shear layers can only occur in solutions of the model when the viscosity decreases sufficiently quickly as temperature increases and we further analyze the structure and stability properties of the layers.
Item Type:  Article 

Group:  Center for Advanced Computing Research 
Subject Keywords:  a posteriori error estimates, adaptive error control, blowup, conservation laws, finite element methods, fluid flow, invariant rectangles, plane Couette flow, reactiondiffusion equations, residual errors, shear layers, temperaturedependent viscosity, thermal diffusion 
Record Number:  CaltechCACR:2001.191 
Persistent URL:  http://resolver.caltech.edu/CaltechCACR:2001.191 
Usage Policy:  You are granted permission for individual, educational, research and noncommercial reproduction, distribution, display and performance of this work in any format. 
ID Code:  28195 
Collection:  CaltechCACR 
Deposited By:  Imported from CaltechCACR 
Deposited On:  22 Nov 2004 
Last Modified:  26 Dec 2012 14:32 
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