Flame Propagation in a Rotating Gas

SHORT COMMUNICATION The Influence of Rotation on Premixed Flames in Stagnation-Point Flow

“…We note that the physically similar phenomenon of parametric resonance was recently described in Sivashinsky et al (1986), which was devoted to flame propagation in a rotating channel.…”

“…This observation gives grounds for the expectation that the system admits a self-similar solution, as is the case in other but analogous situations (Takeno and Ishizuka, 1986;Sivashinsky et al;.…”

Increase of the Flame Velocity in a Rotating Gas and the Renormalization Approach to Turbulent Burning

“…Similar to Sivashinsky et al (1988);and Petchenko et al (2006) we choose the geometry of an axisymmetric flame propagating in a tube of radius R with ideal slip at the walls. The gas in the tube initially rotates as a rigid body with frequency X, the characteristic geometry of the flame front is shown in Figure 1.…”

“…In this article we derive a similar nonlinear equation but taking into account both the DL instability and finite flame thickness, which removes the restrictions (2) and (3) of the paper (Sivashinsky et al, 1988), but retains the limit H À 1<< 1. Solving the equation we find the flame velocity in the case of small thermal expansion.…”

“…(1) and may provide only order-of-magnitude estimates. In order to find more reliable information on C jj , in the present paper we consider flame velocity in a rotating gas using the method similar to the work (Sivashinsky et al, 1988). The article (Sivashinsky et al, 1988) studied flame propagation on the basis of a nonlinear equation derived under the assumptions of: (1) small thermal expansion H À 1<< 1 and moderate frequency ðH À 1ÞX 2 R 2 =U 2 f << 1; (2) negligible influence of the DL instability in comparison with the effect of gas rotation, which may be achieved by choosing sufficiently small value of ðH À 1Þ; (3) an infinitely thin flame front.…”