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Unified formula for the field synergy principle

Cui, Yalin ; Zhang, Yaning ; Wang, Wei LU ; Li, Bingxi and Sundén, Bengt LU (2020) In Numerical Heat Transfer, Part B: Fundamentals
Abstract

The field synergy principle has three criteria to qualitatively describe the essence of single-phase convective heat transfer enhancement. However, in practice these criteria are difficult to be applied to convective heat transfer analysis, because there are no corresponding indicators available to quantitatively describe them. Therefore, a unified formula for the field synergy principle was developed based on these three criteria using probabilistic techniques in this study to overcome these defects. The formula is applicable to incompressible flows with constant properties in both laminar and turbulent flow regimes. The formula contains three categories of non-dimensional indicators corresponding to the three criteria of the field... (More)

The field synergy principle has three criteria to qualitatively describe the essence of single-phase convective heat transfer enhancement. However, in practice these criteria are difficult to be applied to convective heat transfer analysis, because there are no corresponding indicators available to quantitatively describe them. Therefore, a unified formula for the field synergy principle was developed based on these three criteria using probabilistic techniques in this study to overcome these defects. The formula is applicable to incompressible flows with constant properties in both laminar and turbulent flow regimes. The formula contains three categories of non-dimensional indicators corresponding to the three criteria of the field synergy principle, respectively, including domain-averaged cosine of synergy angle, the Pearson linear correlation coefficients between the scalar functions contained in the energy governing equation of convective heat transfer, and the variation coefficients of these functions. The physical meanings of these indicators for the field synergy principle and their connections with the known heat transfer enhancing mechanisms were then discussed. Based on this formula, an improved analytical system for the field synergy principle was proposed. It allows an efficient and quantitative analysis of all single-phase constant-property convective heat transfer phenomena. This new system overcomes the limitation of the conventional field synergy analytical system that mainly analyzes convective heat transfer mechanism from the perspective of synergy angle.

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author
organization
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Contribution to journal
publication status
epub
subject
in
Numerical Heat Transfer, Part B: Fundamentals
publisher
Taylor & Francis
external identifiers
  • scopus:85078457048
ISSN
1040-7790
DOI
10.1080/10407790.2020.1713696
language
English
LU publication?
yes
id
3ae49a13-28f8-40af-8b82-3794d336372b
date added to LUP
2020-02-06 15:17:09
date last changed
2020-02-12 10:20:50
@article{3ae49a13-28f8-40af-8b82-3794d336372b,
  abstract     = {<p>The field synergy principle has three criteria to qualitatively describe the essence of single-phase convective heat transfer enhancement. However, in practice these criteria are difficult to be applied to convective heat transfer analysis, because there are no corresponding indicators available to quantitatively describe them. Therefore, a unified formula for the field synergy principle was developed based on these three criteria using probabilistic techniques in this study to overcome these defects. The formula is applicable to incompressible flows with constant properties in both laminar and turbulent flow regimes. The formula contains three categories of non-dimensional indicators corresponding to the three criteria of the field synergy principle, respectively, including domain-averaged cosine of synergy angle, the Pearson linear correlation coefficients between the scalar functions contained in the energy governing equation of convective heat transfer, and the variation coefficients of these functions. The physical meanings of these indicators for the field synergy principle and their connections with the known heat transfer enhancing mechanisms were then discussed. Based on this formula, an improved analytical system for the field synergy principle was proposed. It allows an efficient and quantitative analysis of all single-phase constant-property convective heat transfer phenomena. This new system overcomes the limitation of the conventional field synergy analytical system that mainly analyzes convective heat transfer mechanism from the perspective of synergy angle.</p>},
  author       = {Cui, Yalin and Zhang, Yaning and Wang, Wei and Li, Bingxi and Sundén, Bengt},
  issn         = {1040-7790},
  language     = {eng},
  month        = {01},
  publisher    = {Taylor & Francis},
  series       = {Numerical Heat Transfer, Part B: Fundamentals},
  title        = {Unified formula for the field synergy principle},
  url          = {http://dx.doi.org/10.1080/10407790.2020.1713696},
  doi          = {10.1080/10407790.2020.1713696},
  year         = {2020},
}