Heat Transfer in Pipe Flow at High Speeds
- 1 June 1956
- journal article
- research article
- Published by SAGE Publications in Proceedings of the Institution of Mechanical Engineers
- Vol. 170 (1), 389-406
- https://doi.org/10.1243/pime_proc_1956_170_038_02
Abstract
Measurements have been made of adiabatic friction and of heat transfer for air flowing in pipes at speeds up to 1·6 times that of sound for conditions closely approaching established pipe flow in the range of Reynolds numbers Re = 1·24 to 4·35 × 105, free stream air temperatures Tb = 190 to 286 deg. K., and wall to free stream temperature ratios Tw/Tb = 1·08 to 1·73. The heat transfer results agreed within ±5 per cent with the formula and frictional data were some 4 per cent above The above formulae were obtained by a method, first suggested by von Kármán (1935), of allowing for compressibility effects by replacing, in formulae for incompressible fluids, the fluid properties computed at bulk temperature by those at wall temperature, and then transforming to terms of these properties at bulk temperature, using the laws of variation of physical properties with temperature as obtained from N.B.S.-N.A.C.A. Tables (1949-50). Separate tests were made of the heat transfer in the presence of a plane shock-wave in the heated length of the test pipe, and the values of Stanton number were found to be up to 30 per cent higher than for shockless flow. A subsonic test with a similar adverse pressure gradient over the heated length also showed considerably increased heat transfer. The recovery factors calculated from the adiabatic runs were close to √Pr, that is, 0·84.Keywords
This publication has 8 references indexed in Scilit:
- Survey of Friction Coefficients, Recovery Factors, and Heat-Transfer Coefficients for Supersonic FlowJournal of the Aeronautical Sciences, 1954
- Report of Progress on Measurements of Friction Coefficients, Recovery Factors, and Heat-Transfer Coefficients for Supersonic Flow of Air in a PipeTransactions of the American Society of Mechanical Engineers, 1951
- Turbulent Boundary Layer in Compressible FluidsJournal of the Aeronautical Sciences, 1951
- Turbulent Boundary-Layer Characteristics at Supersonic Speeds-Theory and ExperimentJournal of the Aeronautical Sciences, 1950
- Characteristics of the Turbulent Boundary Layer on a Flat Plate in Compressible Flow from Measurements of Friction in PipesJournal of the Aeronautical Sciences, 1950
- The Mechanics and Thermodynamics of Steady One-Dimensional Gas FlowJournal of Applied Mechanics, 1947
- Der Wärmeübergang an eine mit großer Geschwindigkeit längs angeströmte PlatteForschung im Ingenieurwesen, 1940
- Unterteilung eines FunktionsmaßstabesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1921