Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T22:29:12.921Z Has data issue: false hasContentIssue false

Measurements of heat transfer from fine wires in supersonic flows

Published online by Cambridge University Press:  28 March 2006

John Laufer
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology
Robert Mcclellan
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology

Abstract

Results of an experimental investigation of the heat loss of fine heated wires immersed in a supersonic stream at right angles to the flow direction are presented. The measurements show that the heat loss of the wire is independent of the free-stream Mach number for values of the latter between 1.3 and 4.5. Since the wire is always in the wake of a detached shock wave, the streamlines in the neighbourhood of the wire pass through a normal shock wave. The Reynolds number Re2 based on conditions behind a normal shock, thus becomes the characteristic parameter for the heat transfer. The measurements covering a Reynolds number range of 3 to 220 show the existence of two flow regimes. For Re2 > 20 the Nusselt number is a linear function of the square root of the Reynolds number, and the equilibrium temperature is nearly independent of Re2 < 20 the Nusselt number decreases more slowly, and the equilibrium temperature rises sharply with decreasing Reynolds number.

Type
Research Article
Copyright
© 1956 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

King, L. V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires with applications to hot-wire anemometry, Phil. Trans. A, 214, 373.Google Scholar
Klunker, E. B. & McLean, F. E. 1953 Effect of thermal properties on laminar-boundary-layer characteristics, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 2916.Google Scholar
Kovásznay, L. S. G. & Törmarck, S. I. A. 1950 Heat loss of hot wires in supersonic flow, Bumblebee Rep. 127, Aero. Dept., Johns Hopkins University.Google Scholar
Lowell, H. H. 1950 Design and applications of hot-wire anemomemeters for steady-state measurements at transonic and supersonic airspeeds, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 2117.Google Scholar
Spangenberg, W. G. 1955 Heat-loss characteristics of hot-wire anemometers at various densities in transonic and supersonic flow, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3381.Google Scholar
Stalder, J. R., Goodwin, G. & Creager, M. O. 1952 Heat transfer to bodies in a high-speed rarefied-gas stream, Nat. Adv. Comm. Aero., Wash., Rep. no. 1093.Google Scholar
Stine, H. A. 1954 Investigations of heat transfer from hot wires in the transonic speed range, Proc. 1954 Heat Transfer and Fluid Mechanics Institute.Google Scholar
Stine, H. A. & Wanlass, K. 1954 Theoretical and experimental investigation of aerodynamic heating and isothermal heat-transfer parameters on a hemispherical nose with laminar boundary layer at supersonic Mach numbers, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3344.Google Scholar
Walter, L. W. & Lange, A. H. 1953 Surface temperature and pressure distribution on a circular cylinder in supersonic cross-flow, NAVORD Rep. 2854.Google Scholar
Weske, J. R. 1943 Methods of measurement of high air velocities by the hot-wire method, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 880.Google Scholar