Theory of surface deposition from boundary layers containing condensable vapour and particles

Heterogeneous condensation of vapours mixed with a carrier gas in the stagnation point boundary layer flow near a cold wall is considered in the presence of solid particles much larger than the mean free path of vapour particles. The supersaturated vapour condenses on the particles by diffusion, and...

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Detalles Bibliográficos
Autores: Neu, J. C., Carpio Rodríguez, Ana María, Bonilla, Luis L.
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49850
Acceso en línea:https://hdl.handle.net/20.500.14352/49850
Access Level:acceso abierto
Palabra clave:539.2
536.7
Homogeneus condensation
Diffusion
Flows
Física del estado sólido
Termodinámica
2211 Física del Estado Sólido
2213 Termodinámica
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spelling Theory of surface deposition from boundary layers containing condensable vapour and particlesNeu, J. C.Carpio Rodríguez, Ana MaríaBonilla, Luis L.539.2536.7Homogeneus condensationDiffusionFlowsFísica del estado sólidoTermodinámica2211 Física del Estado Sólido2213 TermodinámicaHeterogeneous condensation of vapours mixed with a carrier gas in the stagnation point boundary layer flow near a cold wall is considered in the presence of solid particles much larger than the mean free path of vapour particles. The supersaturated vapour condenses on the particles by diffusion, and particles and droplets are thermophoretically attracted to the wall. Assuming that the heat of vaporization is much larger than k(B)(T) over tilde (infinity) where (T) over tilde (infinity) is the temperature far from the wall, vapour condensation occurs in a condensation layer (CL). The CL width and characteristics depend on the parameters of the problem, and a parameter R yielding the rate of vapour scavenging by solid particles is particularly important. Assuming that the CL is so narrow that temperature, particle density and velocity do not change appreciably inside it, an asymptotic theory is found, the delta-CL theory, that approximates very well the vapour and droplet profiles, the dew point shift and the deposition rates at the wall for wide ranges of the wall temperature (T) over tilde (w) and the scavenging parameter R. This theory breaks down for (T) over tilde (w) very close to the maximum temperature yielding non-zero droplet deposition rate, (T) over tilde (w,M). If the width of the CL is assumed to be zero (0-CL theory), the vapour density reaches local equilibrium with the condensate immediately after it enters the dew surface. The 0-CL theory yields appropriate profiles and deposition rates in the limit as R -> infinity and also for any R, provided (T) over tilde (w) is very close to (T) over tilde (w,M). Nonlinear multiple scales also improve the 0-CL theory, providing good uniform approximations to the deposition rates and the profiles for large R or for moderate R and (T) over tilde (w) very close to (T) over tilde (w,M), but it breaks down for other values of (T) over tilde (w) and small R.Cambridge University PressUniversidad Complutense de Madrid20092009-01-0120092009-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49850reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/498502026-06-02T12:44:21Z
dc.title.none.fl_str_mv Theory of surface deposition from boundary layers containing condensable vapour and particles
title Theory of surface deposition from boundary layers containing condensable vapour and particles
spellingShingle Theory of surface deposition from boundary layers containing condensable vapour and particles
Neu, J. C.
539.2
536.7
Homogeneus condensation
Diffusion
Flows
Física del estado sólido
Termodinámica
2211 Física del Estado Sólido
2213 Termodinámica
title_short Theory of surface deposition from boundary layers containing condensable vapour and particles
title_full Theory of surface deposition from boundary layers containing condensable vapour and particles
title_fullStr Theory of surface deposition from boundary layers containing condensable vapour and particles
title_full_unstemmed Theory of surface deposition from boundary layers containing condensable vapour and particles
title_sort Theory of surface deposition from boundary layers containing condensable vapour and particles
dc.creator.none.fl_str_mv Neu, J. C.
Carpio Rodríguez, Ana María
Bonilla, Luis L.
author Neu, J. C.
author_facet Neu, J. C.
Carpio Rodríguez, Ana María
Bonilla, Luis L.
author_role author
author2 Carpio Rodríguez, Ana María
Bonilla, Luis L.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 539.2
536.7
Homogeneus condensation
Diffusion
Flows
Física del estado sólido
Termodinámica
2211 Física del Estado Sólido
2213 Termodinámica
topic 539.2
536.7
Homogeneus condensation
Diffusion
Flows
Física del estado sólido
Termodinámica
2211 Física del Estado Sólido
2213 Termodinámica
description Heterogeneous condensation of vapours mixed with a carrier gas in the stagnation point boundary layer flow near a cold wall is considered in the presence of solid particles much larger than the mean free path of vapour particles. The supersaturated vapour condenses on the particles by diffusion, and particles and droplets are thermophoretically attracted to the wall. Assuming that the heat of vaporization is much larger than k(B)(T) over tilde (infinity) where (T) over tilde (infinity) is the temperature far from the wall, vapour condensation occurs in a condensation layer (CL). The CL width and characteristics depend on the parameters of the problem, and a parameter R yielding the rate of vapour scavenging by solid particles is particularly important. Assuming that the CL is so narrow that temperature, particle density and velocity do not change appreciably inside it, an asymptotic theory is found, the delta-CL theory, that approximates very well the vapour and droplet profiles, the dew point shift and the deposition rates at the wall for wide ranges of the wall temperature (T) over tilde (w) and the scavenging parameter R. This theory breaks down for (T) over tilde (w) very close to the maximum temperature yielding non-zero droplet deposition rate, (T) over tilde (w,M). If the width of the CL is assumed to be zero (0-CL theory), the vapour density reaches local equilibrium with the condensate immediately after it enters the dew surface. The 0-CL theory yields appropriate profiles and deposition rates in the limit as R -> infinity and also for any R, provided (T) over tilde (w) is very close to (T) over tilde (w,M). Nonlinear multiple scales also improve the 0-CL theory, providing good uniform approximations to the deposition rates and the profiles for large R or for moderate R and (T) over tilde (w) very close to (T) over tilde (w,M), but it breaks down for other values of (T) over tilde (w) and small R.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49850
url https://hdl.handle.net/20.500.14352/49850
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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