Atomization and Sprays, 25 (10): 871–893 (2015) A MODEL FOR PREDICTING THE TRAJECTORY OF A LIQUID JET IN A SUBSONIC GASEOUS CROSSFLOW Mohsen Broumand & Madjid Birouk * Department of Mechanical Engineering, University of Manitoba, Winnipeg, Manitoba, R3T 5V6 Canada * Address all correspondence to Madjid Birouk E-mail: madjid.birouk@umanitoba.ca Original Manuscript Submitted: 08/13/2014; Final Draft Received: 10/29/2014 This paper presents an approach for modeling a liquid jet trajectory in a subsonic gaseous cross- flow. Forces acting on the liquid column including drag, gravitation, surface tension, and viscosity are all accounted for along with the mass and energy conservation equations which are employed to model the liquid jet trajectory. The tangential and normal components of the governing equations are solved analytically using control-volume analysis. A novel correlation in a sinusoidal-exponential functional form is developed as a function of the momentum flux ratio, gas and jet Weber number, jet Reynolds number, and Bond number. This correlation is capable of predicting jet trajectory of different liquids in a subsonic crossflow at different operating conditions and injection angles. The predictions showed reasonable agreement with published experimental data and empirical correla- tions. KEY WORDS: liquid jet, column trajectory, subsonic gaseous crossflow, high tem- perature and pressure, injection angle, correlation 1. INTRODUCTION The transformation of a liquid column into a spray when injected into a gaseous cross- flow is of great importance in several industrial processes, transportation systems, agri- culture, meteorology, and medicine (e.g., Nasr et al., 2002; Ashgriz, 2011). One of the most efficient spray generation techniques in a combustion chamber is performed by in- jecting the liquid fuel perpendicularly into a gaseous crossflow. The process of liquid jet breakup and fuel/oxidant mixing plays a crucial role in the flame stabilization and emission control (e.g., Leong et al., 2000; Rachner et al., 2002). However, the design of such combustion chambers requires knowledge about spray penetration/trajectory in or- der, for example, to prevent fuel impingement onto the combustors’ walls (e.g., Ashgriz, 2011). 1044–5110/15/$35.00 © 2015 by Begell House, Inc. 871