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Numerical Solution of the Radiation Transport Equation at an Air-Water Interface for a Stratified Medium

Numerical Solution of the Radiation Transport Equation at an Air-Water Interface for a Stratified Medium

Authors :
K. Peter Judd
Robert A. Handler
Source :
Frontiers in Mechanical Engineering, Vol 5 (2019)
Publication Year :
2019
Publisher :
Frontiers Media S.A., 2019.

Abstract

This paper is a continuation of previous work that analytically examined the strength of radiation leaving an air-water interface. The approach here is to numerically integrate the radiation transport equation in order to capture the non-linear features of the problem, and also to include more realistic models for the thermal boundary layer. The radiation intensity of the photons emitted from the interface, relative to that of thermal radiation at the temperature of the interface, is defined here as the signal. This signal was computed for constant surface temperature and constant heat flux boundary conditions. As expected, the numerical computations show that the signal increased as the air-water temperature difference increased. The results are shown to form a hierarchy of signal strengths based on the chosen thermal stratification model. However, for both boundary conditions, the numerical results for a linear temperature profile compared very favorably with the simplified analytical linearized model over the thermal wavebands of 3–5 and 8–14 microns. In addition, the linearized model compared favorably with the most realistic models of thermal stratification.

Details

Language :
English
ISSN :
22973079
Volume :
5
Database :
Directory of Open Access Journals
Journal :
Frontiers in Mechanical Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.53eb5d44409f4a2d86f046ced2e49629
Document Type :
article
Full Text :
https://doi.org/10.3389/fmech.2019.00001