Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-24T16:38:06.578Z Has data issue: false hasContentIssue false

Concerning the velocity and temperature distributions in plane and axially symmetrical jets

Published online by Cambridge University Press:  24 October 2008

L. Howarth
Affiliation:
King's College

Extract

The calculations of the velocity and temperature distributions for the turbulent flow in axially symmetrical and plane jets are described.

For axially symmetrical jets Tollmien's results derived from calculations based on the momentum theory are stated; the calculations on the basis of the modified vorticity transfer theory and on the vorticity transfer theory with symmetrical turbulence are carried out. Unfortunately it seems to be true that none of these theories provides results in good agreement with experiment for both the velocity and temperature distributions.

For plane jets the results obtained by Tollmien and based on the momentum transfer theory are stated; the calculations on the basis of the vorticity transfer theory are carried out. The velocity distributions on both theories are identical and in fair agreement with experiment. In order to test the validity of the theories it is necessary to compare the theoretical results for the temperature with experiment. No results for the latter seem to have been published.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1938

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

* Zeit. f. angew. Math. u. Mech. 5 (1925), 137, 138.Google Scholar

Proc. Roy. Soc. 151 (1935), 495–7;Google Scholar159 (1937), 499–502.

Proc. Cambridge Phil. Soc. 34 (1938), 4867.Google Scholar

* Zeit. f. angew. Math. u. Mech. 6 (1926), 468–78.Google Scholar

* See Tollmien's paper (loc. cit.) for the precise form.

Taylor, loc. cit.

* Goldstein, loc. cit.

* Goldstein, loc. cit.

* Ergebnisse der Aerodynamischen Versuchsanstalt zu Göttingen, 2 (1923), 72.Google Scholar

See, for example, Goldstein, , Proc. Roy. Soc. 155 (1936), 570–5CrossRefGoogle Scholar and Fage, , Proc. Roy. Soc. 155 (1936), 576–96.CrossRefGoogle Scholar Further corrections are necessary in regions where the velocity gradient is appreciable; see Young, and Maas, , Reports and Memoranda of the Aeronautical Research Committee, No. 1770 (1937).Google Scholar

Die Naturwissenschaften, 21 (1933), 375–8.Google Scholar

* Ingenieur Archiv, 5 (1934), 4254.Google Scholar