Stability of a compressible laminar wall-jet with heat transfer

Oleg Likhachev, Anatoli Tumin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The flow of a plane, laminar, subsonic perfect gas wall jet with heat transfer through the wall was investigated theoretically. For the case under consideration the entire surface was maintained at a constant temperature which differed from the temperature of the ambient gas. The velocity and temperature distribution across the flow were calculated for a variety of temperature differences between the ambient gas and the surface. The boundary layer equations representing these flows were solved by using the Illingworth-Stewartson transformation, thus extending the classical Glauert's solution to a thermally non-uniform flow. The effects of heat transfer on the linear stability characteristics of the wall jet were assessed by making the local parallel flow approximation. Two kinds of unstable eigenmodes coexisting at moderate Reynolds numbers are significantly affected by the heat transfer. The influence of cooling or heating on the stability of the flow was expected in view of the experience accumulated in incompressible boundary layers, i.e. heating destabilizes and cooling stabilizes the flows. Cooling of the wall affects the small scale disturbances more profoundly, contrary to the results obtained for the large scale disturbances.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
EditorsT.T. Huang, J. Turner, M. Kawahashi, M.V. Otugen
PublisherASME
Pages25-30
Number of pages6
Volume224
StatePublished - 1995
EventProceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition - Hilton Head, SC, USA
Duration: Aug 13 1995Aug 18 1995

Other

OtherProceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition
CityHilton Head, SC, USA
Period8/13/958/18/95

Fingerprint

Heat transfer
Cooling
Boundary layers
Gases
Heating
Parallel flow
Velocity distribution
Temperature
Temperature distribution
Reynolds number

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Likhachev, O., & Tumin, A. (1995). Stability of a compressible laminar wall-jet with heat transfer. In T. T. Huang, J. Turner, M. Kawahashi, & M. V. Otugen (Eds.), American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED (Vol. 224, pp. 25-30). ASME.

Stability of a compressible laminar wall-jet with heat transfer. / Likhachev, Oleg; Tumin, Anatoli.

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. ed. / T.T. Huang; J. Turner; M. Kawahashi; M.V. Otugen. Vol. 224 ASME, 1995. p. 25-30.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Likhachev, O & Tumin, A 1995, Stability of a compressible laminar wall-jet with heat transfer. in TT Huang, J Turner, M Kawahashi & MV Otugen (eds), American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. vol. 224, ASME, pp. 25-30, Proceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition, Hilton Head, SC, USA, 8/13/95.
Likhachev O, Tumin A. Stability of a compressible laminar wall-jet with heat transfer. In Huang TT, Turner J, Kawahashi M, Otugen MV, editors, American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. Vol. 224. ASME. 1995. p. 25-30
Likhachev, Oleg ; Tumin, Anatoli. / Stability of a compressible laminar wall-jet with heat transfer. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. editor / T.T. Huang ; J. Turner ; M. Kawahashi ; M.V. Otugen. Vol. 224 ASME, 1995. pp. 25-30
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