An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer

De-Yi Shang; Bu-Xuan Wang; Liang-Cai Zhong

doi:doi:10.11648/j.sjee.s.2015030301.11

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An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer

De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong

Published in Science Journal of Energy Engineering (Volume 3, Issue 3-1)

Received: 17 December 2014 Accepted: 25 December 2014 Published: 19 January 2015

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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.

Published in	Science Journal of Energy Engineering (Volume 3, Issue 3-1) This article belongs to the Special Issue Convection Heat and Mass Transfer
DOI	10.11648/j.sjee.s.2015030301.11
Page(s)	1-7
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Innovative similarity transformation, Convection heat transfer, Boundary layer analysis, Falkner-Skan Transformation, Core similarity variables, Flow function, Group theory

References

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[2]	V.M. Falkner, S.W. Skan, Some approximate solutions of the boundary layer equations, Phil. 264 Mag. 12, pp.865, 1931.
[3]	D.Y. Shang, "Theory of heat transfer with forced convection film flows", Series (book) of Heat and Mass Transfer, Springer-Verlag, Berlin, Heidelberg, New York, 1st ed., 346 p. 2011.
[4]	D.Y. Shang, " Free Convection Film Flows and Heat Transfer - Models of Laminar Free Convection with Phase Change for Heat and Mass Transfer", Series (book) of Heat and Mass Transfer, Springer-Verlag, Berlin, Heidelberg, NewYork, 2nd ed., 535 p, 2013.
[5]	D. Y. Shang and B. X. Wang, Effect of variable thermophysical properties on laminar free convection of gas, Int. J. Heat Mass Transfer, Vol.33, No.7, pp.1387-1395, 1990.
[6]	D. Y. Shang and B. X. Wang, Effect of variable thermophysical properties on laminar free convection of polyatomic gas, Int. J. Heat Mass Transfer, Vol. 34, No.3, pp. 749-755, 1991.
[7]	D.Y. Shang, B.X. Wang, Y. Wang and Y. Quan, Study on liquid laminar free convection with consideration of variable thermophysical properties, Int. J. Heat Mass transfer, Vol.36, No.14, pp.3411-3419, 1993.
[8]	D. Y. Shang, B. X. Wang and L. C. Zhong, A study on laminar film boiling of liquid along an isothermal vertical plate in a pool with consideration of variable thermophysical properties, Int. J. Heat Mass Transfer, Vol.37, No.5, PP. 819-828, 1994.
[9]	D.Y. Shang and T. Adamek, Study on laminar film condensation of saturated steam on a vertical flat plate for consideration of various physical factors including variable thermophysical properties, Warme-und Stoffübertragung 30,pp. 89-100, 1994.
[10]	D.Y. Shang and B.X. Wang, An extended study on steady-state laminar film condensation of a superheated vapor on an isothermal vertical plate, Int. J. Heat Mass Transfer, Vol.40, No.4, pp.931-941, 1997.
[11]	D.Y. Shang anf L.C. Zhong, Extensive study on laminar free film condensation from vapor-gas mixture, Int. J. Heat and mass Transfer, Vol.51, pp. 4300-4314, 2008.
[12]	H. Andersson and D.Y. Shang, An extended study of hydrodynamics of gravity-driven film flow of power-law fluids Fluid Dynamics Research.pp.345- 357,1998.
[13]	D.Y. Shang and H. I. Andersson , Heat transfer in gravity-driven film flow of power-law fluids, Int. J. Heat Mass Transfer 42, No.11, pp. 2085-2099, 1999.7.
[14]	D.Y. Shang and J. Gu, Analyses of pseudo-similarity and boundary layer thickness for non-Newtonian falling film flow, Heat Mass Transfer, Vol. 41,No.1, pp. 44–50, 2004.
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De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong. (2015). An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Science Journal of Energy Engineering, 3(3-1), 1-7. https://doi.org/10.11648/j.sjee.s.2015030301.11

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ACS Style

De-Yi Shang; Bu-Xuan Wang; Liang-Cai Zhong. An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Sci. J. Energy Eng. 2015, 3(3-1), 1-7. doi: 10.11648/j.sjee.s.2015030301.11

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AMA Style

De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong. An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Sci J Energy Eng. 2015;3(3-1):1-7. doi: 10.11648/j.sjee.s.2015030301.11

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@article{10.11648/j.sjee.s.2015030301.11,
  author = {De-Yi Shang and Bu-Xuan Wang and Liang-Cai Zhong},
  title = {An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer},
  journal = {Science Journal of Energy Engineering},
  volume = {3},
  number = {3-1},
  pages = {1-7},
  doi = {10.11648/j.sjee.s.2015030301.11},
  url = {https://doi.org/10.11648/j.sjee.s.2015030301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjee.s.2015030301.11},
  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.},
 year = {2015}
}

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TY  - JOUR
T1  - An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer
AU  - De-Yi Shang
AU  - Bu-Xuan Wang
AU  - Liang-Cai Zhong
Y1  - 2015/01/19
PY  - 2015
N1  - https://doi.org/10.11648/j.sjee.s.2015030301.11
DO  - 10.11648/j.sjee.s.2015030301.11
T2  - Science Journal of Energy Engineering
JF  - Science Journal of Energy Engineering
JO  - Science Journal of Energy Engineering
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2376-8126
UR  - https://doi.org/10.11648/j.sjee.s.2015030301.11
AB  - 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.
VL  - 3
IS  - 3-1
ER  -

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Author Information

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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APA Style

De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong. (2015). An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Science Journal of Energy Engineering, 3(3-1), 1-7. https://doi.org/10.11648/j.sjee.s.2015030301.11

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ACS Style

De-Yi Shang; Bu-Xuan Wang; Liang-Cai Zhong. An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Sci. J. Energy Eng. 2015, 3(3-1), 1-7. doi: 10.11648/j.sjee.s.2015030301.11

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AMA Style

De-Yi Shang, Bu-Xuan Wang, Liang-Cai Zhong. An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer. Sci J Energy Eng. 2015;3(3-1):1-7. doi: 10.11648/j.sjee.s.2015030301.11

Copy | Download

@article{10.11648/j.sjee.s.2015030301.11,
  author = {De-Yi Shang and Bu-Xuan Wang and Liang-Cai Zhong},
  title = {An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer},
  journal = {Science Journal of Energy Engineering},
  volume = {3},
  number = {3-1},
  pages = {1-7},
  doi = {10.11648/j.sjee.s.2015030301.11},
  url = {https://doi.org/10.11648/j.sjee.s.2015030301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjee.s.2015030301.11},
  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.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - An Innovative Similarity Transformation for In-Depth Research of Convection Heat and Mass Transfer
AU  - De-Yi Shang
AU  - Bu-Xuan Wang
AU  - Liang-Cai Zhong
Y1  - 2015/01/19
PY  - 2015
N1  - https://doi.org/10.11648/j.sjee.s.2015030301.11
DO  - 10.11648/j.sjee.s.2015030301.11
T2  - Science Journal of Energy Engineering
JF  - Science Journal of Energy Engineering
JO  - Science Journal of Energy Engineering
SP  - 1
EP  - 7
PB  - Science Publishing Group
SN  - 2376-8126
UR  - https://doi.org/10.11648/j.sjee.s.2015030301.11
AB  - 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.
VL  - 3
IS  - 3-1
ER  -

Copy | Download