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On the stability of a laminar wall jet with heat transfer. (English) Zbl 0976.76024

The hydrodynamic stability of a low-speed, plane, non-isothermal laminar wall jet under constant temperature boundary conditions is investigated theoretically and experimentally. The stability calculations show that two unstable eigenmodes coexisting at moderate Reynolds numbers are significantly affected by heat transfer. Heating destabilizes the flow while cooling stabilizes it. However, large-scale instabilities associated with the inflection point of velocity profile still amplify in spite of the high level of stabilizing temperature difference. The calculated stability characteristics of the wall jet with heat transfer are compared with experimental data, showing an excellent agreement for small amplitudes of imposed perturbations. The agreement is less good for phase velocities of the sub-harmonic wave, and this is attributed to experimental difficulties and to nonlinear effects.

MSC:

76E05 Parallel shear flows in hydrodynamic stability
76-05 Experimental work for problems pertaining to fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
76D25 Wakes and jets
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