Heat transfer to gas turbine blades occurs at high Reynolds numbers, therefore in thin boundary layers. This makes the measurement of local heat transfer coefficients or Nusselt numbers difficult and suggests to measure mass transfer coefficients or Sherwood numbers instead. These are then transformed to Nusselt numbers by the heat/mass transfer analogy. The present paper extends this analogy to processes in which the Schmidt number for mass transfer is not equal to the Prandtl number for heat transfer, by use of general fluid mechanics and transfer relations for boundary layers and explores what equations for the analogy can be derived in this way. The results are compared with computational and experimental information.
Bibliographical noteFunding Information:
This study was performed with financial support by the Dean of the Institute of Technology of the University of Minnesota. Support was also provided by the Advanced Gas Turbine Systems Research Program, Clemson University under contract #CMU/541252-49598/DOE and by the US. Civilian Research and Development Foundation under award # UE 2-293. The authors are appreciative of the helpful suggestions offered by David Kercher of the General Electric Company.