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Effects of Local Wall Heating and Cooling on Hypersonic Boundary-Layer Stability

By P. Polivanov, Y. Gromyko, A. Sidorenko, A. Maslov, M. Keller, G. Groskopf and M. J. Kloker


The paper presents the stability analysis of a hypersonic boundary layer, perturbed by a local heating/cooling element at the wall. The study is performed for a freestream Mach number and a unit Reynolds number of M ∞ = 5.4 and Reunit = 4.8 · 10 6 1/m, respectively. At first, simulations are carried out for a two-dimensional control element with different temperatures and lengths at various positions. The results obtained by direct numerical simulations for 2-d distrubances are in good agreement with linear stability theory. It is shown that local wall heating increases the disturbance amplitude in downstream direction, however, in the heated zone perturbations are stabilized. In case of cooling, the opposite effect was discovered, namely a significant increase of the disturbance magnitude on the element and damping downstream. Furthermore, threedimensional effects of a cooling/heating element with finite extent in spanwise direction are considered. Bi-global linear stability theory in flow crosscuts is employed to investigate the stability behavior of the thermally perturbed hypersonic boundary-layer flow. It is shown that despite the three-dimensionality of the thermal element 1 st-mode disturbances still play a minor role. For the investigated setup 3-d effects are found to be rather weak and apparently are limited to the region of the element

Year: 2011
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