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Particle deposition from a natural convection flow onto a vertical isothermal flat plate

Nazaroff, William W. and Cass, Glen R. (1987) Particle deposition from a natural convection flow onto a vertical isothermal flat plate. Journal of Aerosol Science, 18 (4). pp. 445-455. ISSN 0021-8502. http://resolver.caltech.edu/CaltechAUTHORS:20140915-150914056

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Abstract

The deposition of particles from a laminar, natural convection boundary layer flow adjacent to a heated or cooled flat plate occurs due to a combination of thermophoretic drift and Brownian motion. In this paper, scale analysis is used to determine the magnitudes of the concentration boundary layer thickness and the normalized particle flux. Scaling arguments are also used to show that thermophoresis dominates Brownian motion in the concentration boundary layer whenever Le^(1/3)>(T∞/│ΔT│)^(1/2), where Le is the Lewis number of the particle and ΔT is the difference between the temperature of the plate surface and that of the air outside the momentum boundary layer (T_∞). Using a similarity transformation, the governing partial differential equations are converted to a system of ordinary differential equations which are solved numerically. Dimensionless particle flux is determined as a function of particle diameter in the range 0.001–3.0 μm and ΔT from −10 to 10 K. The results have application in understanding and preventing the soiling of indoor surfaces, including works of art.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.sciencedirect.com/science/article/pii/0021850287900425PublisherArticle
http://dx.doi.org/10.1016/0021-8502(87)90042-5DOIArticle
Additional Information:© 1987 Pergamon Press Ltd. Received 9 October 1986; and in final form 22 January 1987. Available online 10 April 2003. This research was supported by a contract with the Getty Conservation Institute.
Group:Environmental Quality Laboratory
Funders:
Funding AgencyGrant Number
Getty Conservation Institute UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Environmental Quality LaboratoryA-198
Record Number:CaltechAUTHORS:20140915-150914056
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140915-150914056
Official Citation:William W. Nazaroff, Glen R. Cass, Particle deposition from a natural convection flow onto a vertical isothermal flat plate, Journal of Aerosol Science, Volume 18, Issue 4, August 1987, Pages 445-455, ISSN 0021-8502, http://dx.doi.org/10.1016/0021-8502(87)90042-5. (http://www.sciencedirect.com/science/article/pii/0021850287900425)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49726
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Sep 2014 17:58
Last Modified:16 Sep 2014 17:58

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