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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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
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.
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.
L. Prandtl, ÜbDie Flussigkeitsbewegung bei Sehr Kleiner Reibung, Proc. 3d Intern. Math. Koug. Heidelberg, 1904.
V.M. Falkner, S.W. Skan, Some approximate solutions of the boundary layer equations, Phil. 264 Mag. 12, pp.865, 1931.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
G. Taton, T. Rok1,2, E. Rokita， Temperature distribution assessment during radiofrequency ablation，IFMBE Proceedings 22, pp. 2672–2676, 2008
G. Taton, T. Rok, E. Rokita, Estimation of temperature distribution with the use of a thermo- camera, Pol J Med Phys Eng.,14(1), pp. 47-61, 2008.
AA Turkin, M Dutka, D Vainchtein, S Gersen , etc., Deposition of SiO2 nanoparticles in heat exchanger during combustion of biogas, Applied Energy, Vol. 113, pp. 1141–1148, 2014.
Y.Gao, Q.K.Liu, W.K.Chow, M.Wu, Analytical and experimental study on multiple fire sources in a kitchen, Fire Safety Journal 63, pp. 101–112, 2014.