Journal
CONTINUUM MECHANICS AND THERMODYNAMICS
Volume 17, Issue 7, Pages 493-509Publisher
SPRINGER
DOI: 10.1007/s00161-006-0010-0
Keywords
chemically reacting fluids; Navier-Stokes; Nernst-Planck; Poisson equations; heat equation
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The model-combining Navier-Stokes equation for barycentric velocity together with Nernst-Planck's equation for concentrations of particular mutually reacting constituents, the heat equation, and the Poisson equation for self-induced quasistatic electric field is formulated and its thermodynamics is discussed. Then, existence of a weak solution to an initial-boundary-value problem for this system is proved in two special cases: zero Reynolds' number and constant temperature.
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