Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-19T03:00:11.322Z Has data issue: false hasContentIssue false
  • English
  • Français

A hydraulic analogue study of the Hartmann oscillator phenomenon

Published online by Cambridge University Press:  28 March 2006

Louis Solomon
Louis Solomon
Affiliation:
Present address: TRW Systems, One Space Park, Redondo Beach, California. University of California at Los Angeles, Los Angeles, California
Get access Rights & Permissions [Opens in a new window]

Abstract

The Hartmann oscillator problem is studied using the hydraulic analogy between compressible gasdynamics and incompressible flows with a free surface. Extensive photographs, taken of the oscillator in order to visualize the periodic flow, show that qualitative features of the flow agree well with the observations made with a cavity in an air jet.

The construction and operation of the water channel built and used at the University of California at Los Angeles for this study is also described. Continuous ‘shooting’ water flow was found to be analogous to supersonic isentropic gas flow; a static depth of approximately ¼ in. of water appeared to be satisfactory. It seems that the most valuable aspect of the hydraulic analogy is its ability to easily present excellent visualization of flow phenomena, both steady and unsteady.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 2 , 8 May 1967 , pp. 261 - 271
Copyright
© 1967 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

Black, J. & Mediratta, O. P. 1951 Supersonic flow investigations with ‘hydraulic analogy’ water channel. Aero. Quart. 2 (4), 227–53.Google Scholar
Fam, S. 1960 A photographic study of resonance tubes. M.S. Thesis, Mass. Inst. of Technology, Cambridge, Mass.
Gravitt, J. C. 1959 Frequency response of an acoustic air-jet generator J. Accoust. Soc. Am. 31, 1516–18.Google Scholar
Hall, I. M. & Berry, C. J. 1959 On the heating effect in a resonance tube. J. Aero/Space Sci. 26, 253.Google Scholar
Hartenbaum, B. 1960 Hydraulic analog investigation of the resonance tube. M.S. Thesis, Mass. Inst. of Technology, Cambridge, Mass.
Hartmann, J. 1919 Om en ny Metode til Frembringelse af Lydsvinginger. Dan. Mat. Fys. Medd. 1.Google Scholar
Ippen, A. T., Harleman, D. R. F. & Crossley, H. E. 1950 Studies on the validity of the hydraulic analogy to supersonic flow. Mass. Inst. of Technology Hydrodynamics Laboratory, U.S. Air Force TR 5985.
Jouguet, E. 1920 Some problems in general hydrodynamics. J. Math. pures appl. Series 8 3, (1).Google Scholar
Loh, W. H. T. 1960 Hydraulic analogue for one-dimensional unsteady gas dynamics. J. Franklin Inst. 269, (1), 43–55.Google Scholar
Mach, E. 1887 Photography of projectile phenomena in air Sber. wien. Akad. 95, 164.Google Scholar
Matthews, C. W. 1950 The design, operation, and uses of the water channel as an instrument for the investigation of compressible flow phenomena. NACA TN 2008.Google Scholar
Mørch, K. A. 1963 Shock instability in the Hartmann air jet generator. Tech. University of Denmark, Fluid Mechanics Lab. Rept. LFM R 63-2.Google Scholar
Orlin, W. J., Lindner, N. J. & Bitterly, J. G. 1947 Application of the analogy between water flow with a free surface and two-dimensional compressible gas flow. NACA TN 1185.Google Scholar
Preiswerk, E. 1938 Applications of the methods of gas dynamics to water flows with free surfaces: Part I. NACA TM 934.Google Scholar
Preiswerk, E. 1940 Applications of the methods of gas dynamics to water flows with free surfaces: Part II. NACA TM 935.Google Scholar
Riabouchinsky, D. 1932 Sur l'analogie Hydraulic des Movements d'un Fluid Compressible. C. r. Acad. Sci. 195 (22), 22–998.Google Scholar
Sibulkin, M. & Vrebalovich, T. 1958 Some experiments with a resonance tube in a supersonic wind tunnel. J. Aero/Space Sci. 25, 465–6.Google Scholar
Smith, T. & Powell, A. 1964 Experiments concerning the Hartmann whistle. University of California, Los Angeles, Department of Engineering Rept. no. 64-42.Google Scholar
Solomon, L. 1965a Interaction of supersonic jets with cavities. Ph.D. Dissertation, University of California, Los Angeles, California.
Solomon, L. 1965b A hydraulic analog study of the Hartmann oscillator phenomenon. University of California at Los Angeles, Department of Engineering Rept. no. 65-46.Google Scholar
Sprenger, H. 1954 Thermal effects in resonance tubes Mitt. Inst. Aerodyn. E.T.H. 21, 18–24. Zürich.Google Scholar
Thompson, P. A. 1960 Resonance tubes. Ph.D. Dissertation, Mass. Inst. of Technology, Cambridge, Mass.
Vrebalovich, T. 1962 Resonance tubes in a supersonic flow field. Jet Propulsion Lab., California Institute of Technology, Tech. Rept. 32, 378.Google Scholar
Wilson, J. & Ressler, E. L. 1959 A mechanism of resonance tubes. J. Aero/Space Sci. 26, 461–2.Google Scholar