Complete Similarity Mathematical Models on Laminar Free Convection Film Condensation from Vapor–Gas Mixture

  • De-Yi Shang
Part of the Heat and Mass Transfer book series (HMT)


By means of the new similarity analysis method, the governing partial differential equations of laminar free convection film condensation of vapor–gas mixture are transformed into the complete dimensionless mathematical models. The transformed complete governing mathematical models are equivalent to the system of dimensionless governing equations, which involve (1) the continuity, momentum, and energy equations for both liquid and vapor–gas mixture films, as well as species conservation equation with mass diffusion in the vapor–gas mixture film, (2) a set of interfacial physical matching conditions, such as those for two-dimensional velocity component balances, shear force balance, mass flow rate balance, temperature balance, heat transfer balance, concentration condition, as well as the balance between the condensate mass flow and vapor mass diffusion. On the other hand, the transformed complete similarity mathematical models of the film condensation of vapor–gas mixture are very well coupled with a series of physical property factors, such as the density factor, absolute viscosity factor, thermal conductivity factor, of the medium of liquid film and the vapor–gas mixture film. Thus, the transformed complete similarity mathematical models are advanced ones for consideration of variable physical properties.


Mass Flow Rate Vapor Interface Vapor Mass Film Condensation Vapor Mass Fraction 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.OttawaCanada

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