Conservation laws and constitutive relations for density-gradient-dependent viscous fluids |
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| Authors: | M M Mehrabadi S C Cowin M Massoudi |
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| Institution: | (1) Department of Mechanical Engineering, Tulane University, LA 70118 New Orleans, USA;(2) The School of Engineering of the City College and The Graduate School of the City University of New York, The Center for Biomedical Engineering and The Department of Mechanical Engineering, NY 10031 New York, USA;(3) U.S. Department of Energy, National Energy Technology Laboratory, P. O. Box 10940, PA 15236 Pittsburgh, USA |
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| Abstract: | Conservation laws and constitutive relations for a density-gradient-dependent viscous fluid as a multipolar continuum obeying an entropy inequality with generalized entropy flux and supply density are considered in this paper. A decomposition of the rate of work of dipolar stress, which reveals the contribution of various parts of this stress to the energy equation, is used to discuss the inconsistencies between the results obtained here and those obtained by Bluestein and Green 1] on the basis of the pioneering work of Green and Rivlin 8]. Furthermore, we discuss the connection between the model presented here and the materials of Korteweg type considered by Dunn and Serrin 6]. In particular, we relate the rate of work of dipolar stress and the interstitial working introduced by Dunn and Serrin 6].Received: 3 April 2004, Accepted: 6 December 2004, Published online: 4 March 2005
Correspondence to: M.M. Mehrabadi |
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| Keywords: | conservation laws constitutive relations density gradient dipolar stress interstitial working |
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