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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. https://resolver.caltech.edu/CaltechAUTHORS:20101220-151620237

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.1693464DOIUNSPECIFIED
http://pof.aip.org/resource/1/pfldas/v14/i3/p510_s1PublisherUNSPECIFIED
http://link.aip.org/link/PFLDAS/v14/i3/p510/s1 PublisherUNSPECIFIED
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
Funders:
Funding AgencyGrant Number
Aerospace Research Laboratories, Wright-Patterson Air ForceF33615-69-C-1069
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion CenterUNSPECIFIED
Issue or Number:3
DOI:10.1063/1.1693464
Record Number:CaltechAUTHORS:20101220-151620237
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20101220-151620237
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
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:21 Dec 2010 22:22
Last Modified:09 Nov 2021 15:57

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