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Conditions of instability of a flame front in a weakly inhomogeneous flow. (English. Russian original) Zbl 1008.76019
Fluid Dyn. 35, No. 5, 635-641 (2000); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2000, No. 5, 12-19 (2000).
Summary: We investigate the stability of a flame front in a combustible gas mixture flow. The flame is treated as a gasdynamic discontinuity, the gas is assumed to be dynamically incompressible, and the gravity force is neglected. It is assumed that in the undisturbed state the free-stream velocity component \(u_\tau\), tangential to the front, is nonzero and can vary along the front; the normal mixture-velocity component \(u_n\) is constant along the front. We formulate a criterion distinguishing the absolute and convective instability of a skew flame front on which \(u_\tau= \text{const} \). It is shown that the condition for instability of an inhomogeneous front on which the tangential component \(u_\tau (x)\) varies slowly coincides with the condition for absolute instability of a homogeneous front on which \(u_\tau\) is constant and equal to the minimum of \(u_\tau (x)\).
MSC:
76E17 Interfacial stability and instability in hydrodynamic stability
76V05 Reaction effects in flows
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