Subcritical autooscillations and nonlinear neutral curve for Poiseuille flow
| Autor: | Yu.I. Molorodov, B. Yu. Scobelev |
|---|---|
| Rok vydání: | 1980 |
| Předmět: |
Quenching
Mathematical analysis Reynolds number Laminar flow Hagen–Poiseuille equation Critical value Nonlinear system symbols.namesake Computational Mathematics Amplitude Computational Theory and Mathematics Control theory Modeling and Simulation Limit cycle Modelling and Simulation symbols Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 6(1):123-133 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/0898-1221(80)90064-4 |
| Popis: | In the present paper an asymptotic solution of initial problem for disturbances of laminar flow obtained in [8] is employed for analysis of autooscillations.Numerical calculation has shown that there are two autooscillating regimes at values of the wave number α with the range 0.9649 ⩽ α ⩽ 1.0765 in subcritical region. The first regime is a well-known unstable limit cycle, and the second one is a stable autooscillating regime coming from the beyond-critical region. Cycles interflow at some critical value of the supercriticity parameter δ1. The nonlinear critical value of Reynolds number RH(α) corresponds to this value.All disturbances are quenching at values of α, R lying to the left of nonlinear neutral curve. There exist critical amplitudes A1(α, R) in the region between nonlinear and linear neutral curves. Increasing disturbances are stabilized at amplitude values equal to A2(α, R). Within the linear neutral curve all disturbances increase up to the amplitude A2(α, R). |
| Databáze: | OpenAIRE |
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