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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. doi:10.1016/0021-8502(87)90042-5.

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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.

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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
Funding AgencyGrant Number
Getty Conservation InstituteUNSPECIFIED
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Other Numbering System NameOther Numbering System ID
Environmental Quality LaboratoryA-198
Issue or Number:4
Record Number:CaltechAUTHORS:20140915-150914056
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49726
Deposited By: Ruth Sustaita
Deposited On:16 Sep 2014 17:58
Last Modified:10 Nov 2021 18:47

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