In this paper, we present a heat transfer problem in a binary inert mixture of ideal gases at rest between two parallel plates. For the description of the phenomenon, we have considered the field equations of a linearized extended thermodynamics theory with 13 moments, under the assumption of a common temperature for both the constituents. The solution of the system of equations presents non-controllable boundary values, for which a fluctuation principle is applied. We found that, unlike classical thermodynamics, the 13-moment field equations predict thermal diffusion effects and exhibit solutions with boundary layers. Moreover, the results are qualitatively similar to those obtained from the kinetic theory.
Heat transfer in a binary gas mixture between two parallel plates: an application of linear extended thermodynamics
BARBERA, Elvira;
2011-01-01
Abstract
In this paper, we present a heat transfer problem in a binary inert mixture of ideal gases at rest between two parallel plates. For the description of the phenomenon, we have considered the field equations of a linearized extended thermodynamics theory with 13 moments, under the assumption of a common temperature for both the constituents. The solution of the system of equations presents non-controllable boundary values, for which a fluctuation principle is applied. We found that, unlike classical thermodynamics, the 13-moment field equations predict thermal diffusion effects and exhibit solutions with boundary layers. Moreover, the results are qualitatively similar to those obtained from the kinetic theory.Pubblicazioni consigliate
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