화학공학소재연구정보센터
Atomization and Sprays, Vol.14, No.6, 563-587, 2004
Polar instability of superimposed disturbances in spray formation from liquid jets
The concept of superimposed sequence of nonaxial and polar disturbances that propagate one on top of the other, in the process of spray formation from jets, is introduced The axisymetric ligaments and drops that are formed in this process, including toroidal forms of drops, can sustain a wide range of polar disturbances on their surface. Anew dispersion equation that generalizes the one of the Rayleigh model is developed. This dispersion equation provides solutions for axipolar instability parameters of hollow jets, and radially disconnected parts of axisymmetric ligaments and drops. The axipolar instability parameter is shown to depend on axial and polar wave numbers and on the solution parameter, k(f), obtained, in conjunction with K-n(kr) which satisfies the modified Bessel equation of the pressure perturbation. Domains where a positive axipolar instability parameter exists are defined and related to the axial and polar wave numbers. Larger domains are associated with larger polar wave numbers. These domains include axial and polar wavelength that are shorter than the jet circumference 2pia and 2pi, being in contrast to the Rayleigh model, which allows only values that exceed 2pia and 2pi, respectively. The concept of a limiting polar wave number is introduced and used to characterize the system with respect to instability at lower polar wave numbers. It is shown that for systems that can sustain high levels of the limiting polar wave number, the attendant instability parameter turns virtually independent of all lower polar wave numbers. This implies existence of jets that can develop multimodal instability, involving many wave numbers that coexist under the same instability parameter. In this context, the existence of multimodal instability opens new avenues for understanding the process whereby jets evolve into sprays.