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contributor authorQ. Wang
date accessioned2017-05-09T00:01:46Z
date available2017-05-09T00:01:46Z
date copyrightMarch, 2000
date issued2000
identifier issn0021-8936
identifier otherJAMCAV-26490#29_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/123283
description abstractWe examine the local dynamics of nonisothermal viscous flows in the neighborhood of the constant equilibria using the thermomechanically consistent constrained theory for materials with prescribed temperature-dependent density developed by Cao et al.. We discover that the linearized growth rate of small length scale, infinitesimal disturbances near the equilibria is proportional to the reciprocal of their wave length, a classical phenomenon known as the Hadamard instability, indicating the local ill-posedness of the constrained theory. Therefore, the use of the theory to model transient flow phenomenon is not advised. [S0021-8936(00)01901-2]
publisherThe American Society of Mechanical Engineers (ASME)
titleIll-Posedness in a Thermomechanically Consistent Constrained Theory for Materials With Prescribed Temperature-Dependent Density
typeJournal Paper
journal volume67
journal issue1
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.321148
journal fristpage29
journal lastpage32
identifier eissn1528-9036
keywordsDensity
keywordsFlow (Dynamics)
keywordsTemperature
keywordsEquilibrium (Physics)
keywordsDynamics (Mechanics)
keywordsEquations AND Waves
treeJournal of Applied Mechanics:;2000:;volume( 067 ):;issue: 001
contenttypeFulltext


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