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Experimental Measurement of Steady 3-D Thermal Green’s Functions

[+] Author Affiliations
Alfonso Ortega, Justin Wodrich, Gregg Radtke

University of Arizona, Tucson, AZ

Paper No. IMECE2003-42569, pp. 381-387; 7 pages
  • ASME 2003 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 1
  • Washington, DC, USA, November 15–21, 2003
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-3718-1 | eISBN: 0-7918-4663-6, 0-7918-4664-4, 0-7918-4665-2
  • Copyright © 2003 by ASME


In many areas of applied mathematics, the Green’s function is the solution to a field problem due to the application of a potential or a gradient of a potential at a point or line in space on the solution domain. In heat transfer, the ‘thermal’ Green’s function (TGF) is the temperature field that would arise as a result of the application of a point source of heat within or on the surface of a medium. We have been exploring the possible use of the thermal Green’s function as a new way of characterizing the convective heat transfer from the surface of a solid that is cooled by a flow. An experiment was designed to explore possible ways in which the thermal Green’s function can be measured in the laboratory. A small heated spot was created on the wall of a flow channel to approximate a point source of heat. The resulting temperature field was measured by the use of thermochromic liquid crystal thermography, and was compared to an analytical solution derived from the 3-D thermal Green’s function. This paper reports progress towards understanding the limitations in creating and digitally photographing the temperature field from a small heat source on the wall of a convective flow.

Copyright © 2003 by ASME



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