Volume 12, Issue 5
Study on General Governing Equations of Computational Heat Transfer and Fluid Flow

Wang Li ,  Bo Yu ,  Yi Wang ,  Xin-Ran Wang ,  Qing-Yuan Wang and Wen-Quan Tao


Commun. Comput. Phys., 12 (2012), pp. 1482-1494.

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  • Abstract

The governing equations for heat transfer and fluid flow are often formulatedinageneralformforthe simplification of discretizationandprogramming, which has achieved great success in thermal science and engineering. Based on the analysis of the popular general form of governing equations, we found that energy conservation cannot be guaranteed when specific heat capacity is not constant, which may lead to unreliable results. A new concept of generalized density is put forward, based on which a new general form of governing equations is proposed to guarantee energy conservation. A number of calculation examples have been employed to verify validation and feasibility. 

  • History

Published online: 2012-12

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