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Cavities formed on liquid surfaces by impinging gaseous jets

Published online by Cambridge University Press:  29 March 2006

Frank R. Cheslak ,
J. Arthur Nicholls  and
Martin Sichel
Frank R. Cheslak
Affiliation:
The University of Michigan, Ann Arbor, Michigan
J. Arthur Nicholls
Affiliation:
The University of Michigan, Ann Arbor, Michigan
Martin Sichel
Affiliation:
The University of Michigan, Ann Arbor, Michigan
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Abstract

Experimental tests of an axisymmetric jet of air impinging on both water and wet cement were performed and analyzed. Since the cavities formed on the water were unsteady and irregular, cavities were formed on wet fast-setting cement and allowed to set with the jet impinging. In this way, detailed measurements of the solidified cavity shape were made and shown to agree well with theory. This correlation of the data with the theory indicates that little gas was entrained in the liquid and that the influence of liquid viscosity and surface tension was small for the experimental conditions tested. A simplified analysis is also presented for an incompressible axisymmetric gas jet impinging normally on a liquid surface. The analysis was effected by combining the following physical conditions and assumptions: (i) the stagnation pressure corresponding to the centreline conditions of the jet at the bottom of the cavity is equal to the hydrostatic pressure, wherein an empirical turbulent jet decay law is used to predict the variation of stagnation pressure with distance from the nozzle; (ii) the force on the liquid is equal to the total change in normal momentum, which is equal to the weight of the displaced liquid; (iii) the shape of the cavity is a paraboloid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 1 , 27 March 1969 , pp. 55 - 63
Copyright
© 1969 Cambridge University Press

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References

Albertson, M. L., Dai, Y. B., Jensen, R. A. & Rouse, H. 1950 Diffusion of submerged jets Trans. ASCE, 115, 639.Google Scholar
Banks, R. B. & Chandrasekhara, D. V. 1963 Hydromechanics of a high velocity gas jet penetrating a liquid surface. Final progress report, Northwestern University, Evanston, Illinois, 1962, and J. Fluid Mech. 15, 13.Google Scholar
Collins, R. D. & Lubanska, H. 1956 The depression of liquid surfaces by gas jets Br. J. Appl. Phys. 5, 22.Google Scholar
Corrsin, S. & Uberoi, M. S. 1949 Further experiments on the flow and heat transfer in a heated turbulent air jet. NACATN 1865.
Farris, G. N. 1963 Some entrainment properties of a turbulent axisymmetric jet. Res. Report, no. 39, Mississippi State University.Google Scholar
Folsom, R. G. & Ferguson, C. K. 1949 Jet mixing of two liquids Trans. ASME, 71, 73.Google Scholar
Glass, D. R. & Hayes, P. O. 1963 The performance of supersonic nozzles as used in the oxygen conversion process. University of Michigan, ORA Report 04806 1-F.Google Scholar
Hinze, J. O. & Vander Hegge Zijnen, B. G. 1948 Transfer of heat and matter in the turbulent mixing zone of an axially symmetrical jet Proceedings of the Seventh International Congress Appl. Mech. 2, 286.Google Scholar
Maatsch, J. 1962 The penetration of a free jet of gas into a liquid surface. (Über das Eindringen eines freien Gasstrahles in eine Flüssigkeitsoberfläche.) Tech. Mitt. Krupp Forsch. 20, 1.Google Scholar
Mathieu, F. 1960 A contribution to the study of a gas jet on the free surface of a liquid. Revue Universelle des Mines, series 9, vol. xvi, no. 7, 1.Google Scholar
Olmstead, W. E. & Raynor, S. 1964 Depression of an infinite liquid surface by an incompressible gas jet J. Fluid Mech. 19, 561.Google Scholar