A mixture theory for geophysical fluids
A continuum theory is developed for a geophysical fluid consisting of two species. Balance laws are given for the individual components of the mixture, modeled as micropolar viscous fluids. The continua allow independent rotational degrees of freedom, so that the fluids can exhibit couple stresses a...
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| Language: | English |
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Copernicus Publications
2004-01-01
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| Series: | Nonlinear Processes in Geophysics |
| Online Access: | http://www.nonlin-processes-geophys.net/11/75/2004/npg-11-75-2004.pdf |
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doaj-b4b052493fe04e0f9a1b4cbcd9069f0d2020-11-25T00:25:10ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462004-01-011117582A mixture theory for geophysical fluidsA. C. EringenA continuum theory is developed for a geophysical fluid consisting of two species. Balance laws are given for the individual components of the mixture, modeled as micropolar viscous fluids. The continua allow independent rotational degrees of freedom, so that the fluids can exhibit couple stresses and a non-symmetric stress tensor. The second law of thermodynamics is used to develop constitutive equations. Linear constitutive equations are constituted for a heat conducting mixture, each species possessing separate viscosities. Field equations are obtained and boundary and initial conditions are stated. This theory is relevant to an atmospheric mixture consisting of any two species from rain, snow and/or sand. Also, this is a continuum theory for oceanic mixtures, such as water and silt, or water and oil spills, etc.http://www.nonlin-processes-geophys.net/11/75/2004/npg-11-75-2004.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. C. Eringen |
| spellingShingle |
A. C. Eringen A mixture theory for geophysical fluids Nonlinear Processes in Geophysics |
| author_facet |
A. C. Eringen |
| author_sort |
A. C. Eringen |
| title |
A mixture theory for geophysical fluids |
| title_short |
A mixture theory for geophysical fluids |
| title_full |
A mixture theory for geophysical fluids |
| title_fullStr |
A mixture theory for geophysical fluids |
| title_full_unstemmed |
A mixture theory for geophysical fluids |
| title_sort |
mixture theory for geophysical fluids |
| publisher |
Copernicus Publications |
| series |
Nonlinear Processes in Geophysics |
| issn |
1023-5809 1607-7946 |
| publishDate |
2004-01-01 |
| description |
A continuum theory is developed for a geophysical fluid consisting of two species. Balance laws are given for the individual components of the mixture, modeled as micropolar viscous fluids. The continua allow independent rotational degrees of freedom, so that the fluids can exhibit couple stresses and a non-symmetric stress tensor. The second law of thermodynamics is used to develop constitutive equations. Linear constitutive equations are constituted for a heat conducting mixture, each species possessing separate viscosities. Field equations are obtained and boundary and initial conditions are stated. This theory is relevant to an atmospheric mixture consisting of any two species from rain, snow and/or sand. Also, this is a continuum theory for oceanic mixtures, such as water and silt, or water and oil spills, etc. |
| url |
http://www.nonlin-processes-geophys.net/11/75/2004/npg-11-75-2004.pdf |
| work_keys_str_mv |
AT aceringen amixturetheoryforgeophysicalfluids AT aceringen mixturetheoryforgeophysicalfluids |
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