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The Pi-Theorem pp 131-157 | Cite as

Jet Flows

  • L. P. Yarin
Chapter
Part of the Experimental Fluid Mechanics book series (FLUID, volume 1)

Abstract

The subject of the present chapter is the hydrodynamics of laminar submerged jets in the light of the dimensional analysis. Submerged jets are discussed in detail in special monographs devoted to the jet theory (Pai 1954; Abramovich 1963; Vulis and Kashkarov 1965), boundary layer theory (Schlichting 1979), as well as the theory of turbulent flows (Townsend 1956; Hinze 1959).

Keywords

Axial Velocity Momentum Flux Boundary Layer Equation Boundary Layer Theory Governing Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Abramovich GN (1963) The theory of turbulent jets. MIT Press, BostonGoogle Scholar
  2. Akatnov NI (1953) Development of two-dimensional laminar incompressible jet near a rigid wall. Proc Leningrad Polytec Inst 5:24–31Google Scholar
  3. Andrade EN (1939) The velocity distribution in liquid-into-liquid jet. The plane jet. Proc Phys Soc London 51:748–793Google Scholar
  4. Baines WD, Turner JS, Campbell IH (1990) Turbulent fountains in an open chamber. J Fluid Mech 212:557–592CrossRefGoogle Scholar
  5. Batchelor GK (1954) Heat convection and buoyancy effects in fluid. Quart J Roy Meteor Soc 80:339–358CrossRefGoogle Scholar
  6. Bloomfield LJ, Kerr RC (2000) A theoretical model of a turbulent fountain. J Fluid Mech 424:197–216zbMATHCrossRefGoogle Scholar
  7. Glauert MB (1956) The wall jet. J Fluid Mech 1:625–643MathSciNetCrossRefGoogle Scholar
  8. Hinze JO (1959) Turbulence. An introduction to its mechanism and theory. McGraw Hill Book Company, New YorkGoogle Scholar
  9. Ho CM, Gutmark E (1987) Vortex induction and mass entrainment in a small-aspect-ratio elliptic jet. J Fluid Mech 179:383–405CrossRefGoogle Scholar
  10. Hussain F, Hussain HS (1989) Elliptic jets. Part 1. Characteristics of unexcited and excited jets. J Fluid Mech 208:259–320CrossRefGoogle Scholar
  11. Jaluria Y (1980) Natural convective heat and mass transfer. Pergamon, OxfordGoogle Scholar
  12. Konsovinous NS (1978) A note on the conservation of the axial momentum of turbulent jet. J Fluid Mech 87:55–63CrossRefGoogle Scholar
  13. Korthapalli A, Baganoff D, Karamcheti K (1981) On the mixing of rectangular jet. J Fluid Mech 107:201–220CrossRefGoogle Scholar
  14. Landau LD, Lifshitz EM (1987) Fluid mechanics, 2nd edn. Pergamon, LondonGoogle Scholar
  15. List EJ (1982) Turbulent jets and plumes. Annu Rev Fluid Mech 14:189–212CrossRefGoogle Scholar
  16. Morton BR (1957) Buoyant plumes in moist atmosphere. J Fluid Mech 2:127–144MathSciNetzbMATHCrossRefGoogle Scholar
  17. Morton BR (1959) Forced plumes. J Fluid Mech 5:151–163MathSciNetzbMATHCrossRefGoogle Scholar
  18. Morton BR, Taylor GI, Turner JS (1956) Turbulent gravitational convection from maintained and instantaneous sources. Proc Roy Soc London A 234:1–23MathSciNetzbMATHCrossRefGoogle Scholar
  19. Pai SI (1954) Fluid dynamics of jets. D. Van Nastrand Company, New YorkzbMATHGoogle Scholar
  20. Papanicolaou PN, List EJ (1982) Investigations of round vertical turbulent buoyant jets. J Fluid Mech 195:341–391CrossRefGoogle Scholar
  21. Schlichting H (1979) Boundary layer theory, 8th edn. Springer, BerlinzbMATHGoogle Scholar
  22. Schneider W (1985) Decay of momentum flux in submerged jets. J Fluid Mech 154:91–110CrossRefGoogle Scholar
  23. Townsend AA (1956) The Structure of turbulent shear flow. Cambridge University Press, CambridgezbMATHGoogle Scholar
  24. Trentacoste N, Sforzat P (1967) Further experimental results for three-dimensional free jets. AIAA J 5:885–891CrossRefGoogle Scholar
  25. Turner JS (1966) Jets and plumes with negative or reversing buoyancy. J Fluid Mech 26:729–792CrossRefGoogle Scholar
  26. Turner JS (1969) Buoyant plumes and thermals. Annu Rev Fluid Mech 1:29–44CrossRefGoogle Scholar
  27. Turner JS (1986) Turbulent entrainment: the development of the entrainment assumption and its application to geophysical flows. J Fluid Mech 173:431–471CrossRefGoogle Scholar
  28. Vulis LA, Kashkarov VP (1965) The theory of viscous fluid jets. Nauka, Moscow (in Russian)Google Scholar
  29. Wygnanski I, Champagne FH (1968) The laminar wall jet over curved surface. J Fluid Mech 31:459–465CrossRefGoogle Scholar
  30. Zel’dovich YaB (1937) Limiting laws of free-rising convective flows. J Exp Theoret Phys 7:1463–1465. The English translation in: Ya.B. Zel’dovich: Selected Works of Ya.B. Zel’dovich, vol. 1. Chemical Physics and Hydrodynamics. Limiting laws of freely rising convective currents (Princeton Univ. Press, Princeton, 1992).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • L. P. Yarin
    • 1
  1. 1.Dept. of Mechanical Engineering Technion CityTechnion-Israel Institute of TechnologyHaifaIsrael

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