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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 & Wen-Quan Tao

DOI: 10.4208/cicp.220111.281111a

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

Published online: 2012-12

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  • Abstract

The governing equations for heat transfer and fluid flow are often formulated in a general form for the simplification of discretization and programming, 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

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@Article{CiCP-12-1482, author = {Wang Li, Bo Yu, Yi Wang, Xin-Ran Wang, Qing-Yuan Wang and Wen-Quan Tao}, title = {Study on General Governing Equations of Computational Heat Transfer and Fluid Flow}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {5}, pages = {1482--1494}, abstract = {

The governing equations for heat transfer and fluid flow are often formulated in a general form for the simplification of discretization and programming, 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

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220111.281111a}, url = {http://global-sci.org/intro/article_detail/cicp/7343.html} }
TY - JOUR T1 - Study on General Governing Equations of Computational Heat Transfer and Fluid Flow AU - Wang Li, Bo Yu, Yi Wang, Xin-Ran Wang, Qing-Yuan Wang & Wen-Quan Tao JO - Communications in Computational Physics VL - 5 SP - 1482 EP - 1494 PY - 2012 DA - 2012/12 SN - 12 DO - http://doi.org/10.4208/cicp.220111.281111a UR - https://global-sci.org/intro/article_detail/cicp/7343.html KW - AB -

The governing equations for heat transfer and fluid flow are often formulated in a general form for the simplification of discretization and programming, 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

Wang Li, Bo Yu, Yi Wang, Xin-Ran Wang, Qing-Yuan Wang and Wen-Quan Tao. (2012). Study on General Governing Equations of Computational Heat Transfer and Fluid Flow. Communications in Computational Physics. 12 (5). 1482-1494. doi:10.4208/cicp.220111.281111a
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