Research Papers: Evaporation, Boiling, and Condensation

Condensation of a Quiescent Vapor by a Stagnation-Point Liquid Flow

[+] Author and Article Information
R. Balasubramaniam

Research Associate Professor
National Center for Space Exploration Research,
Case Western Reserve University/NASA Glenn
Research Center,
Mail-Stop 110-3,
Cleveland, OH 44135
e-mail: Ramaswamy.Balasubramaniam-1@nasa.gov

E. Ramé

Universities Space Research Association c/o
NASA Glenn Research Center,
Mail-Stop 110-3,
Cleveland, OH 44135
e-mail: enrique.rame-1@nasa.gov

1Corresponding author.

Manuscript received May 31, 2017; final manuscript received September 14, 2017; published online January 23, 2018. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 140(5), 051501 (Jan 23, 2018) (10 pages) Paper No: HT-17-1313; doi: 10.1115/1.4038520 History: Received May 31, 2017; Revised September 14, 2017

We analyze the condensation of a quiescent vapor, that is in equilibrium with its liquid, induced by a stagnation point flow in the liquid. The liquid flow brings subcooled liquid from far away to the interface. The ensuing heat transfer causes the vapor to condense. A similarity formulation for the liquid and vapor flow fields and the liquid temperature field is pursued, and a perturbation solution is performed when the ratio of the product of viscosity and density of the vapor to that of the liquid is small. A two-term higher order asymptotic solution is shown to be in excellent agreement with numerical results. The reduction in the rate of condensation due to the presence of a noncondensable gas in the vapor that is insoluble in the liquid is also analyzed.

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Grahic Jump Location
Fig. 1

Schematic of condensation induced by a liquid in stagnation point flow

Grahic Jump Location
Fig. 2

Plots of: (a) F(η)−ηversusη (and F(η)versus η in the inset), (b) θ(η)versusη, (c) f(ζ)versusζ, (d) ω(ζ)/ω∞versusζ for Pr = 10, ϵ=0.015, λ=0.015, Sc=0.245. The dot-dashed curve is the leading order solution, the solid curve includes the higher order term, and the dashed curve is the numerical solution. All the curves in the inset in (a), in (b), and the solid and dashed curves in (d) are indistinguishable.

Grahic Jump Location
Fig. 3

Scaled interfacial temperature (dotted curve) and scaled condensation ratio (dashed curve) as a function of the noncondensable mass fraction. Pure vapor: perfluoro-n-hexane, noncondensable: nitrogen, ε=0.0143,λ=0.015,Pr=10,Sc=0.245,M̂=10.286,hfg/RvTsat=9.798,μhfg/(kTl,∞)=2.193,Tv,∞=311K,Tl,∞=301K.




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