A film model for heat and mass transfer with fog formation

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Abstract

An analysis is presented of a binary film with fog formation and a negligible induced velocity (traditionally referred to as "Stefan—Nusselt flow"). The governing equations of energy diffusion, coupled with the saturation condition, are solved and analytical correction factors are derived. Subsequently, the "negligible induced velocity" (NIV) fog film model is applied to channel flow, yielding analytical expressions for the variation of bulk vapour mass fraction, bulk temperature, and the possible creation of bulk fog. Multiplying the NIV correction factor for fog only by the classical film model correction factors for induced velocity, reveals that the product corresponds to the film model correction factors for the combined effects of fog and induced velocity. Furthermore, a thorough comparison with theoretical and experimental results of foregoing two-dimensional studies, concerning fog formation in the presence of free and forced convection, confirms the accuracy of the present fog film model.
Original languageEnglish
Pages (from-to)3023-3036
Number of pages14
JournalChemical Engineering Science
Volume47
Issue number12
DOIs
Publication statusPublished - 1992

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Fog
Mass transfer
Heat transfer
Forced convection
Channel flow
Natural convection
Vapors

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title = "A film model for heat and mass transfer with fog formation",
abstract = "An analysis is presented of a binary film with fog formation and a negligible induced velocity (traditionally referred to as {"}Stefan—Nusselt flow{"}). The governing equations of energy diffusion, coupled with the saturation condition, are solved and analytical correction factors are derived. Subsequently, the {"}negligible induced velocity{"} (NIV) fog film model is applied to channel flow, yielding analytical expressions for the variation of bulk vapour mass fraction, bulk temperature, and the possible creation of bulk fog. Multiplying the NIV correction factor for fog only by the classical film model correction factors for induced velocity, reveals that the product corresponds to the film model correction factors for the combined effects of fog and induced velocity. Furthermore, a thorough comparison with theoretical and experimental results of foregoing two-dimensional studies, concerning fog formation in the presence of free and forced convection, confirms the accuracy of the present fog film model.",
author = "H.J.H. Brouwers",
year = "1992",
doi = "doi:10.1016/0009-2509(92)87004-A",
language = "English",
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}

A film model for heat and mass transfer with fog formation. / Brouwers, H.J.H.

In: Chemical Engineering Science, Vol. 47, No. 12, 1992, p. 3023-3036.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A film model for heat and mass transfer with fog formation

AU - Brouwers, H.J.H.

PY - 1992

Y1 - 1992

N2 - An analysis is presented of a binary film with fog formation and a negligible induced velocity (traditionally referred to as "Stefan—Nusselt flow"). The governing equations of energy diffusion, coupled with the saturation condition, are solved and analytical correction factors are derived. Subsequently, the "negligible induced velocity" (NIV) fog film model is applied to channel flow, yielding analytical expressions for the variation of bulk vapour mass fraction, bulk temperature, and the possible creation of bulk fog. Multiplying the NIV correction factor for fog only by the classical film model correction factors for induced velocity, reveals that the product corresponds to the film model correction factors for the combined effects of fog and induced velocity. Furthermore, a thorough comparison with theoretical and experimental results of foregoing two-dimensional studies, concerning fog formation in the presence of free and forced convection, confirms the accuracy of the present fog film model.

AB - An analysis is presented of a binary film with fog formation and a negligible induced velocity (traditionally referred to as "Stefan—Nusselt flow"). The governing equations of energy diffusion, coupled with the saturation condition, are solved and analytical correction factors are derived. Subsequently, the "negligible induced velocity" (NIV) fog film model is applied to channel flow, yielding analytical expressions for the variation of bulk vapour mass fraction, bulk temperature, and the possible creation of bulk fog. Multiplying the NIV correction factor for fog only by the classical film model correction factors for induced velocity, reveals that the product corresponds to the film model correction factors for the combined effects of fog and induced velocity. Furthermore, a thorough comparison with theoretical and experimental results of foregoing two-dimensional studies, concerning fog formation in the presence of free and forced convection, confirms the accuracy of the present fog film model.

U2 - doi:10.1016/0009-2509(92)87004-A

DO - doi:10.1016/0009-2509(92)87004-A

M3 - Article

VL - 47

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EP - 3036

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 12

ER -