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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 11, issue 1
Nonlin. Processes Geophys., 11, 75–82, 2004
https://doi.org/10.5194/npg-11-75-2004
© Author(s) 2004. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Dedicated to Prof. A. D. Kirwan Jr. on the occasion of his...

Nonlin. Processes Geophys., 11, 75–82, 2004
https://doi.org/10.5194/npg-11-75-2004
© Author(s) 2004. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  25 Feb 2004

25 Feb 2004

A mixture theory for geophysical fluids

A. C. Eringen A. C. Eringen
  • 15 Red Tail Drive, Littleton, Co., 80126-5001, USA

Abstract. 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.

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