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Kinetic Theory of Transient Condensation and Evaporation at a Plane Surface

Shankar, P. N. and Marble, Frank E. (1971) Kinetic Theory of Transient Condensation and Evaporation at a Plane Surface. Physics of Fluids, 14 (3). pp. 510-516. ISSN 1070-6631. doi:10.1063/1.1693464.

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The phenomenon of transient condensation onto, or evaporation from, a liquid sheet in contact with its pure vapor is treated from a kinetic theory viewpoint. The Maxwell moment method is used to formulate the detailed transient problem. A steady surface mass flux rate exists for times large in comparison with the collision time, that is, in the continuum regime, and explicit formulas are given for this limit. The complete gasdynamic field, however, is nonsteady for all times. The calculations are carried out utilizing four moments, and the effects of incorporating additional moments are negligible. Finally, the analysis is extended to incorporate imperfect mass and temperature accommodation. Examination of the transient solution and a matched asymptotic "quasisteady" solution shows that the gasdynamic field consists of a diffusion process near the liquid surface coupled through an expansion or compression wave to the constant far field state.

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Additional Information:© 1971 American Institute of Physics. Received 29 April 1970; final manuscript received 22 September 1970. This work was performed with the financial support of the Aerospace Research Laboratories, Wright-Patterson Air Force Base, Contract No. F33615-69-C-1069.
Group:Guggenheim Jet Propulsion Center
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Aerospace Research Laboratories, Wright-Patterson Air ForceF33615-69-C-1069
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Guggenheim Jet Propulsion CenterUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20101220-151620237
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Official Citation:Kinetic Theory of Transient Condensation and Evaporation at a Plane Surface P. N. Shankar and Frank E. Marble Phys. Fluids 14, 510 (1971); doi:10.1063/1.1693464 (7 pages) | Cited 15 times Online Publication Date: 8 August 2003
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21456
Deposited By: Ruth Sustaita
Deposited On:21 Dec 2010 22:22
Last Modified:09 Nov 2021 15:57

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