On the temporal linear stability of the asymptotic suction boundary layer
نویسندگان
چکیده
A temporal linear stability analysis of the asymptotic suction boundary layer is presented. For this, Orr–Sommerfeld equation solved in terms generalized hypergeometric functions. Together with corresponding conditions, an algebraic eigenvalue problem formulated. Thereof we derive continuous spectrum yielding a rather distinct if, for example, compared to one from Blasius solution. second key result that discrete limits α→0,that is, small streamwise wave numbers, and Re→∞ only present distinguished limit Re α=O(1). This results degenerated expanded poses lower (Re α)min≈0.841 91. We show this bound corresponds maximum extension viscous eigenfunction wall-normal direction. The full numerically case up Re=6.0×106. Besides further refined critical values αcr=0.155 46, ωcr=0.023 297, Recr=54 378.620 32, spectra eigenfunctions are examined ω=ωr+iωi complex frequency. In particular, investigated regard their behavior due variation Reynolds number number, respectively, A-modes according definition Mack [“A numerical study layer,” J. Fluid Mech. 73, 497–520 (1976)] were identified. From these, three different classes disturbance velocity Finally, find inviscid part dominant direction propagates direction, while limited vicinity wall toward it almost perpendicular
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2021
ISSN: ['1527-2435', '1089-7666', '1070-6631']
DOI: https://doi.org/10.1063/5.0048208