An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer
De-Yi Shang,
Bu-Xuan Wang,
Liang-Cai Zhong
Issue:
Volume 3, Issue 3-1, May 2015
Pages:
1-7
Received:
17 December 2014
Accepted:
25 December 2014
Published:
19 January 2015
Abstract: Our innovative similarity transformation for in-depth research of convection heat and mass transfer is presented. For solving convection heat and mass transfer issues, the boundary layer analysis method is used, and meanwhile, the Falkner-Skan transformation is currently popular to treat the core similarity variables for velocity field similarity. But this type of transformation is inconvenient to do this core work, for similarity transformation of velocity field, because it is necessary to first induce flow function and group theory to derive an intermediate function for an indirect similarity transformation of the velocity field. This case also allows a difficult situation on consideration of variable physical properties. With our innovative similarity transformation, the above inconvenient and difficult situations are avoided, and the velocity components can be directly transformed to the related dimensionless ones. Then, the similarity analysis and transformation of the governing partial differential equations can be simplified greatly. Furthermore, our innovative similarity transformation can conveniently treat variable physical properties and their coupled effect on heat and mass transfer for enhancement of the practical value of convection heat and mass transfer, and so is a better alternative transformation method to the traditional Falkner-Skan transformation. It was proved that the above two innovative methods have a wide practical application in industry.
Abstract: Our innovative similarity transformation for in-depth research of convection heat and mass transfer is presented. For solving convection heat and mass transfer issues, the boundary layer analysis method is used, and meanwhile, the Falkner-Skan transformation is currently popular to treat the core similarity variables for velocity field similarity. ...
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Extensive Study on Hydrodynamics and Heat Transfer of Laminar Mixed Convection
De-Yi Shang,
Liang-Cai Zhong
Issue:
Volume 3, Issue 3-1, May 2015
Pages:
8-17
Received:
18 December 2014
Accepted:
23 December 2014
Published:
19 January 2015
Abstract: Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing the traditional Falkner-Skan type transformation; (ii) New governing local-similarity mathematical model, which is first applied in study of laminar free/forced mixed convection. It is more conveniently obtained and applied compared with that based on the Falkner-Skan type transformation for investigation of free/forced mixed convection; and (iii) New correlations on heat transfer of laminar free/forced mixed convection. They have wide coverage of Prandtl number and mixed convection parameter, and are suitable for all gases and important liquids including water for laminar free/forced mixed convection. The reported heat transfer correlations are so reliably because they are produced based on combination of theoretical analysis equations with the correlations formulated rigorously according to system of groups on accurate numerical solutions.
Abstract: Through extensive study on hydrodynamics and heat transfer, calculation correlations of heat transfer for laminar free/forced mixed convection on a vertical flat plate is obtained. It contains the following three research investigations: (i) local-similarity analysis and transformation based on our developed new similarity analysis method replacing...
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