双扩散方程组的解析解和熵的产生。

IF 2 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Entropy Pub Date : 2025-09-10 DOI:10.3390/e27090946

Imre Ferenc Barna, László Mátyás

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引用次数: 0

摘要

研究了用约简形式描述双扩散对流现象的偏微分方程组。双扩散是指在重力作用下，两个具有不同扩散率的标量，如热量和溶质浓度，对流体内部的密度梯度有贡献。采用时变自相似试函数，给出了动态变量的分析结果，并对结果进行了详细分析。此外，还推导了熵产。在研究的第二部分，我们调查了一个额外的热源的作用。

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Analytic Solutions and Entropy Production of the Double-Diffusive Equation System.

We investigate the partial differential equation system which describes the double-diffusion convection phenomena with the reduction formalism. Double-diffusion refers to when two scalar quantities with different diffusivity, such as heat and solute concentration, contribute to density gradients within a fluid under the influence of gravity. The time-dependent self-similar trial function is applied and analytic results are presented for the dynamical variables and analyzed in detail. Additionally, the entropy production was derived as well. In the second part of the study we investigate the role of an additional heat source.

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来源期刊

Entropy PHYSICS, MULTIDISCIPLINARY-

CiteScore

4.90

自引率

11.10%

发文量

1580

审稿时长

21.05 days

期刊介绍： Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.