Analysis of film condensation on a rotating cone
Journal
Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Journal Volume
15
Journal Issue
6
Pages
684-694
Date Issued
1992
Author(s)
Abstract
This paper analyzes film condensation on a rotating cone situated in a large body of pure saturated vapor. The centrifugal field, associated withrotation, and the gravity field sweep the condensate downward along the conesurface. We apply boundary layer equations in formulating the problem.First, a closed-form solution is obtained for the case of negligible inertia.Results show that the known solutions of gravity-dominated natural condensation (Nusselt solution) and rotation-dominated forced condensation(Sparrow-Hartnett solution) are special cases which fall within the scope oftliis analysis. We provide criteria for the region in which the natural or forcedcondensation apply. General expressions for predicting the film thicknessand the condensation heat transfer are presented in the form of approximateformulae for ease of application. Two asymptotic solutions containing theinertia terms are also analyzed by transforming the partial differential equations to ordinary differential equations. In the regime ofPr>1 andJa<0.01orPr<1 and/a/Pr<0.01, the inertia effects on condensation heat transfercan be neglected. © 1992 Taylor & Francis Group, LLC.
This paper analyzes film condensation on a rotating cone situated in a large body of pure saturated vapor. The centrifugal field, associated withrotation, and the gravity field sweep the condensate downward along the conesurface. We apply boundary layer equations in formulating the problem.First, a closed-form solution is obtained for the case of negligible inertia.Results show that the known solutions of gravity-dominated natural condensation (Nusselt solution) and rotation-dominated forced condensation(Sparrow-Hartnett solution) are special cases which fall within the scope oftliis analysis. We provide criteria for the region in which the natural or forcedcondensation apply. General expressions for predicting the film thicknessand the condensation heat transfer are presented in the form of approximateformulae for ease of application. Two asymptotic solutions containing theinertia terms are also analyzed by transforming the partial differential equations to ordinary differential equations. In the regime ofPr>1 andJa<0.01orPr<1 and/a/Pr<0.01, the inertia effects on condensation heat transfercan be neglected. © 1992 Taylor & Francis Group, LLC.
Type
journal article