On the stability of a laminar wall jet with heat transfer

Oleg Likhachev, Donald Quintana, Israel J Wygnanski

Research output: Contribution to journalArticle

Abstract

The hydrodynamic stability of a low speed, plane, non-isothermal laminar wall jet at a constant temperature boundary condition was investigated theoretically and experimentally. The mean velocity and temperature profiles used in the stability analysis were obtained by implementing the Illingworth-Stewartson transformation that allows one to extend the classical Glauert solution to a thermally non-uniform flow. The stability calculations showed that the two unstable eigenmodes coexisting at moderate Reynolds numbers are significantly affected by the heat transfer. Heating is destabilizing the flow while cooling is stabilizing it. However, the large-scale instabilities associated with the inflection point of the velocity profile still amplify in spite of the high level of the stabilizing temperature difference. The calculated stability characteristics of the wall jet with heat transfer were compared with experimental data. The comparison showed excellent agreement for small amplitudes of the imposed perturbations. The agreement is less good for the phase velocities of the sub-harmonic wave and this is attributed to experimental difficulties and to nonlinear effects.

Original languageEnglish (US)
Pages (from-to)137-162
Number of pages26
JournalApplied Scientific Research (The Hague)
Volume62
Issue number2
StatePublished - 1999

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wall jets
heat transfer
Heat transfer
velocity distribution
nonuniform flow
flow stability
inflection points
phase velocity
temperature profiles
low speed
Phase velocity
Reynolds number
temperature gradients
Temperature
boundary conditions
harmonics
perturbation
Hydrodynamics
heating
Boundary conditions

ASJC Scopus subject areas

  • Engineering(all)

Cite this

On the stability of a laminar wall jet with heat transfer. / Likhachev, Oleg; Quintana, Donald; Wygnanski, Israel J.

In: Applied Scientific Research (The Hague), Vol. 62, No. 2, 1999, p. 137-162.

Research output: Contribution to journalArticle

Likhachev, Oleg ; Quintana, Donald ; Wygnanski, Israel J. / On the stability of a laminar wall jet with heat transfer. In: Applied Scientific Research (The Hague). 1999 ; Vol. 62, No. 2. pp. 137-162.
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