THE STABILITY OF VISCOUS LIQUID JETS IN A SWIRLING GAS

Based on the linear analysis of stability,a dispersion equation isdeduced which delineates the evolution of a general 3-dimensional disturbance onthe free surface of an incompressible viscous liquid jet injected into a gas with swirl.Here,the dimensionless parameter J_e is again introduced,in the meantime,anotherdimensionless parameter E called as circulation is also introduced to represent therelative swirling intensity.With respect to the spatial growing disturbance mode,thenumerical results obtained from solving the dispersion equation reveal the followingfacts.First,at the same value of E,in pace with the changing of J_e,the variation ofdisturbance and the critical disturbance mode still keep the same characters.Second,the present results are the same as that of S.P. Lin when J_e>1;but in the range ofJ_e<1,it’s no more the case,the swirl decreases the axisymmetric disturbance,yetincreases the asymmetric disturbance,furthermore the swirl may make the characterof the most unstable disturbance mode changed(axisymmetric or asymmetric);theabove action of the swirl becomes much stronger when J_e《1.