This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Mathematical Formulation for Hydrodynamic Stability of Fluidic Jets
ISSN: 0148-7191, e-ISSN: 2688-3627
Published March 04, 2002 by SAE International in United States
Annotation ability available
The fluid spray exits the nozzle in the form of a stream, which decays rapidly to ligaments that break up into droplets. All these transitions occur in a very short time and region. This work provides a fundamental analysis of the jet stability in general form, but it is devoted particularly to fluidic jets. Such jets exist in different industrial applications; automobile windshield washer and diesel fuel injector sprays are good examples.
A computational analysis is developed that predicts the break up distance and velocity of the fluidic jets, which is one of the important factors that helps in prediction of the spray pattern and droplet strike location. Thus reduces number of the required prototypes and saves time and cost. Also, a parametric study is conducted to analyze the effect the jet breakup on the spray trajectory.
In this investigation, a successful approach is developed that combines an algebraic model, which predicts maximum exit velocity of fluidic devices, with the initial-problem of quasi-stationary stream and the linear theory of the hydrodynamic stability. The computational results have been correlated successfully versus the experimental tests.
CitationGhannam, M., "Mathematical Formulation for Hydrodynamic Stability of Fluidic Jets," SAE Technical Paper 2002-01-0216, 2002, https://doi.org/10.4271/2002-01-0216.
- Chandrasekhar, S. “Hydrodynamic and Hydromagnetics Stability” Oxford University Press 1961
- Drazin, P. G. Reid W. H. “Hydrodynamic stability” Cambridge University Press 1981
- Betch, R. Criminal, J. “Stability of Parallel Flows” Academic Press 1987
- Lin, C. C. “The Theory of Hydrodynamic Stability” Cambridge University Press
- Topics in Applied Physics “Hydrodynamic Instabilities and the Transition to Turbulence” Swinny, H. L. Golub, J. P. second Springer-Verlag 1985
- Rayleigh, Lord “On the Stability of Jets” Proc. Lond. Math. Soc. 10 1787
- Rayleigh, Lord “The Theory of Sound” II 2nd 1945 New York
- Demetios, T.P. “Analytical Description of the Breakup of Liquid Jets” J. Fluid Mech. 1995
- Chaudhary, K. C. Redekop, L. G. “The Nonlinear Capillary Instability of a Liquid Jet” Part 1, Journal Fluid Mech. 1980
- Chandhary, K. C. Maxworthy, T. “The Nonlinear Capillary Instability of a Liquid jet” Part 2 J. Fluid Mech. 1980
- Chandhary, K. C. Maxworthy, T. “The Nonlinear Capillary Instability of a Liquid jet” Part 3 J. Fluid Mech. 1980
- Bogy, d. B. “Drop Formation in a Circular Liquid Jet” Ann. Rev. Fluid Mech. 1979
- Peregrine, D. H. Shoker, G Symon, A. “The Bifurcation of Liquid Bridges” J. Fluid Mech. 1990
- Tjahjadi, M. Stone, G. A. Ottino, J.M. “Satellite and Subsatellite Formation in Capillary Breakup” J. Fluid Mech. 1992
- Goedde E. F. Yuen, C. M. “Experiments on Liquid Jet Instability” J. Fluid Mech. 1970
- Wang, R. L. duPlessis, M. P. “An Explicit Numerical method for the Solution of Jet Flows” Journal of Fluids Engineering, Trans. ASME 95 1973
- DuPlessis, M.P. Wang, R.L. Kahawita, R. “Investigation of the Near Region of a Square Jet” Journal of Fluid Engineering . Trans. ASME 1974
- Sforza, P.M. “A Quasi- Axisymmetic Approximation for Turbulent, Three-dimensional Jets and Wakes” AIAA journal 71696
- Trentacost, N. Sforza, P.M. “Further Experimental Results for Three-dimensional Free Jets” AIAA journal 5
- Lee H.C. “Drop Formation in a Liquid Jet” IBM J. Res. Develop. 1974
- Reitz, R. Bracco, F. “Mechanism of Atomization of a Liquid Jet” Phys. Fluids 25 1982
- Hiroyasu, H. Kadota, T. “Fuel Droplet Size Distribution in Diesel Combustion Chamber” SAE paper no. 740715 1974
- Minami, T. Yamaguchi, I. Shintani, M. Tsujimura, K. Susuki, T. “Analysis of Fuel Spray Characteristics and Combustion Phenomena under High Pressure Fuel Injection” SAE paper No. 900438 1990
- Reitz, R. Bracco, F. “On the Dependence of Spray Angle and Other Spray Parameters on Nozzle Design and Operating Conditions” SAE paper No. 1979
- “Fuel Spray Technology and Applications” SAE, SP-132 1996
- Ghannam, M Y. Schumack, M R. “Analysis of an automotive windshield fluid delivery system” SAE, 2000-01-0128