An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer
Science Journal of Energy Engineering
Volume 3, Issue 3-1, May 2015, Pages: 1-7
Received: Dec. 17, 2014; Accepted: Dec. 25, 2014; Published: Jan. 19, 2015
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Authors
De-Yi Shang, 136 Ingersoll Cres., Ottawa, ON, Canada K2T 0C8
Bu-Xuan Wang, Dept. of Thermal Engineering, Tsinghua University, Beijing 100084, China
Liang-Cai Zhong, Department of Ferrous Metallurgy, Northeastern University, Shenyang 110004, China
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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.
Keywords
Innovative similarity transformation, Convection heat transfer, Boundary layer analysis, Falkner-Skan Transformation, Core similarity variables, Flow function, Group theory
To cite this article
De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong, An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer, Science Journal of Energy Engineering. Special Issue: Convection Heat and Mass Transfer. Vol. 3, No. 3-1, 2015, pp. 1-7. doi: 10.11648/j.sjee.s.2015030301.11
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