The heat/mass transfer analogy factor, Nu/Sh, for boundary layers on turbine blade profiles

E. R.G. Eckert, H. Sakamoto, T. W. Simon

Research output: Contribution to journalArticlepeer-review

50 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1223-1233
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Issue number6
StatePublished - 2001

Bibliographical note

Funding 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.


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