Document Type : Research Paper

Authors

1 Assistant Professor, Aerospace Systems Research Institute, Aerospace Research Institute, Ministry of Science, Research and Technology, Tehran, IRAN

2 M.Sc. Mechanical engineering faculty, Iran University of science and technology, Tehran, IRAN

3 Associate Professor, Department Mechanical Engineering. Iran University of Science and Technology, Tehran, IRAN

Abstract

In the atomization process, small disturbances grow in liquid jet or sheet and eventually cause to disintegrate it into ligaments and smaller droplets. Concerning to the motion of waves on the liquid sheet surface, the stage of primary breakup is deterministic and can be predicted by instability analyzes. In early studies, the theories of linear and weakly nonlinear instability have been implemented on a cylindrical liquid sheet and the effect of spray cone angle was not included in the model. Therefore, in this paper in order to improve the model, the linear instability theory is implemented on a cone-shaped liquid sheet for the first time, and therefore radial velocities of liquid and gas phases are also considered moreover than axial and tangential velocities. The results of this improved model such as maximum wave growth rate and its corresponding wave number can be used to estimate mean droplet diameter and breakup length.

Keywords

[1]   L. Bayvel, z. Orzechovski, liquid atomization, Second Edittion, Taylor & Francis, 1993.
[2]   S. P. Lin, Breakup of Liquid Sheets and Jets, First Edittion, Cambridge University Press, 2003.
[3]   W.A. Sirignano, C. Mehring, Review of Theory of Distortion and Disintegration of Liquid Streams, Progress in Energy and Combustion Science, Vol. 26, No. 4,pp. 609-655, 2000.
[4]   J.C. Lasheras, E. J. Hopfinger, Liquid jet instability and atomization in a coaxial gas stream, Annu. Rev. Fluid Mech., Vol. 3, No. 1, pp. 275–308, 2000.
[5]   K.A. Sallam, Z. Dai and G.M. Faeth, liquid breakup at the surface of turbulent round liquid jets in still gases, International Journal of Multiphase Flow, Vol. 28, No. 3, pp. 427-449, 2002.
[6]   F. Chen, J.-Y. Tsaur, F. Durst, S. K. Das, On the Axisymmetry of Annular Jet Instabilities, J. Fluid Mech., vol. 488, No. 1, pp. 355-367, 2003.
[7]   M. V. Panchagnula, P. E. Sojka, P. J. Santangelo, On the Three-Dimensional Instability of a Swirling, Annular, Inviscid Liquid Sheet Subject to Unequal Gas Velocities, Physics of Fluids, Vol. 8, No. 12, pp. 3000-3312, 1996.
[8]   W.A. Sirignano, C. Mehring, Comments on Energy Conservation in Liquid-Stream Disintegration, Proceedings of ICLASS, USA, Pasadena, California, 2000.
[9]   AA. Ibrahim, Comprehensive study of internal flow field and linear and nonlinear instability of an annular liquid sheet emanating from an atomizer, Ph. D. thesis, University of Cincinnati, 2006.
[10]F. Ommi, SA. Mahdavi, investigation of the effect of gas swirl on the atomization of an anuular spray, 8th international conference of aerospace, Malek Ashtar university, Iran, Isfahan, 2013. (in persian)
[11]A.A. Ibrahim, M. A. Jog, S. M. Jeng, Computational Simulation of Two-Phase Flow in Simplex Atomizers, ILASS-AMERICAS, US, Irvine, California, 2005.
[12] J. Cao, Theoretical and Experimental Study of Atomization from an Annular Liquid Sheet, J. Automobile Engineering, Vol. 217, No. 8, pp. 735-734, 2003.
[13] X. Jeandel, C. Dumouchel, Influence of the Viscosity on the Linear Stability of an Annular Liquid Sheet, International Journal of Heat and Fluid Flow, Vol. 20, No. 5, pp. 499-506, 1999.
[14]Y. Liao, S. M. Jeng, M. A. Jog, M. A. Benjamin, Advanced Sub-Model for Airblast Atomizers, Journal of Propulsion and Power, Vol. 17, No. 2, pp. 411-417, 2001.
[15] Q. Du, X. Li, Effect of Gas Stream Swirls on the Instability of Viscous Annular Liquid Jets, Acta Mechanica, vol. 176, No. 1, pp. 61-81, 2005.
[16] Y. Liao, S. M. Jeng, M. A. Jog, M. A. Benjamin, Effect of Air Swirl Profile on the Instability of a Viscous Liquid Jet, J. Fluid Mech., Vol. 424, No. 1, pp. 1-20, 2000.
[17]Y. Liao, A. T. Sakman, S. M. Jeng, M. A. Jog, M. A. Benjamin, A comprehensive Model to Predict Simplex Atomizer Performance, J. of Engineering for Gas Turbines and Power, Vol. 121, No. 1, pp. 285-294, 1999.
[18]E. A. Ibrahim, T. R. McKinney, Injection Characteristics of Non-swirling and Swirling Annular Liquid Sheets, Proc. IMechE Part C: J. Mechanical Engineering Science, Vol. 220, No. 2, pp. 203-214, 2006.
[19]J.M. Gordillo, MP. Saborid, Aerodynamic effects in the break-up of liquid jets: on the first wind-induced break-up regime, Journal of Fluid Mechanics, Vol. 541, No.1, pp. 1–20, 2005.
[20]F. Ommi, s. Soheili, SA. Mahdavi, AR. Niazmand, non-linear instability analysis of primary breakup of jet exposed to swirl gas, 10th international conference of aerospace, Iran, Tehran, 2010. (in persian)