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A Thermo-Fluid Model of Droplet Evaporation and Pressure Variation in Venturi Liquid-Gas Mixers

Adwaith Ravichandran(1*), Jedediah Storey(2), Daniel Kirk(3)

(1) Dapartment of Aerospace, Florida Institute of Technology, United States
(2) Dapartment of Aerospace, Florida Institute of Technology, United States
(3) Dapartment of Aerospace, Florida Institute of Technology,
(*) Corresponding author



An analytical model has been developed to determine how effectively the temperature of a flowing hot gas can be reduced through the introduction of cold liquid droplets. The hot gas flows through a venturi-shaped mixer where the cold liquid is introduced into the mixer at the throat, vaporizes, and mixes with the hot gas resulting in a cooler gas temperature at the exit of the mixer. The cold liquid droplet residence time, evaporation time, and mixing with the hot gas determine the extent to which the hot gas temperature can be reduced. The model is used to predict the achievable gas cooling of hot hydrogen, nitrogen, and oxygen with cryogenic droplet coolant of the same species. Temperature and pressure along the mixer for these different fluids are calculated, and trends are presented using a non-dimensional number analogous to the Damköhler number in reaction chemistry. The model can be used to predict the minimum mixer length required to achieve specified amount of hot gas cooling or to assess the cooling efficacy of a mixer of given length for various hot gas and cold liquid flow rates.
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Cryogenic; Venturi; Liquid Entrainment; Convection; Droplet Breakup and Evaporation; Damköhler Number; Mixer Exit Temperature; Multiphase Pressure Loss

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P. Duquesne, Y. Maciel and C. Deschênes, Investigation of Flow Separation in a Diffuser of a Bulb Turbine, The American Society for Mechanical Engineers, vol. 138, no. 1, p. 9, 2016.

C.-J. Tam, S. Cox-Stouffer and K.-C. Lin, Gaseous and Liquid Injection into High-Speed Crossflows, AIAA Aerspace Sciences Meeting and Exhibit, no. 43, p. 12, 2005.

J. M. Forde, S. Molder and E. J. Szpiro, Secondary Liquid Injection into Supersonic Airstream, AIAA Journal of Spacecraft and Rockets, vol. 3, p. 12, 2012.

W. Mayer, A. Schik and M. Schaffler, Injection and Mixing Processes in High-Pressure Liquid Oxygen/Gaseous Hydrogen Rocket Combustors, Journal of Propulsion and Power, vol. 16, no. 5, p. 6, 2000.

J. Pelton and C. Willbanks, Analytical Model of an Exhaust Gas Cooling System Employing Liquid Injection, Tennessee, 1971.

J. H. Im, M. H. Kim and Y. R. Kim, 1-D Analysis for Water Spray Cooling of Exhaust Gas in Combustor Test Facility, Journal of the Korean Society of Propulsion Engineers, vol. 19, no. 1, p. 12, 2015.

W. Mayer, D. Talley, C. Chauveau, B. Vielle and A. Schik, Atomization and Breakup of Cryogenic propellants Under High-Pressure Subcritical and Supercritical Conditions, Journal of Propulsion and Power, vol. 14, no. 5, p. 8, 1998.

J. M. Locke, S. Pal and R. D. Woodward, High Speed Visualization of LOX/GH2 Rocket Injector, AIAA, vol. 3, no. 2010-7145, pp. 17-53, 25 - 28 July 2010,.

D. A. Knaus, P. J. Magari, R. W. Hill and S. D. Phillips, Predicting Augmentor Static Stability Using Local Damköhler number, AIAA Aerospace Sciences Meeting and Exhibit, vol. 46, p. 11, 2008.

K. Beseler, A. Tyagi and J. O’Connor, Development of a Diagnostic Damköhler Number for Interpreting Laser-Induced Fluorescence Data in Turbulent Flames, AIAA SciTech Forum, p. 18, 2020.

F. M. White, Viscous Fluid Flows, 2nd ed., vol. 2, New York: McGraw-Hill Inc, 2011.

S. R. Turns, An Introduction to Combustion, Third ed., vol. 3, McGraw Hill International Publication, 2017.

I. Rerez-Raya and S. G. Kandlikar, Chapter Three - Evaporation on a Planar Interface Numerical Simulation and Theoretical Analysis of Heat and Mass Transport Processes, in Advances in Heat Transfer, Academic Press, 2016, p. 190.

J. R. Thome, Laboratory handbook of heat and Mass Transfer, Swiss Federal Institute, Lausanne.

E. Curtis, A. Uludogan and R. Reitz, A New High Pressure Droplet Vaporization Model for Diesel Engine-Department of Mechanical Engineering, University of Wisconsin-Madison,Madison,WI 53706,, SAE International Fall fuels and Lubricants Meeting and Exhibition, vol. 2, no. 952431, p. 13, 1995.

Z. Tao, Z. Zhao, S. Ding, G. Xu, B. Yang and H. Wu, Heat Transfer Coefficients of Film Cooling on a Rotating Turbine Blade Model - Part I: Effect of Blowing Ratio, ASME - Journal of Turbomachinery, vol. 131, p. 12, 2009.

D. J. Cerantola and A. M. Birk, Quantifying Blowing Ratio for Shaped Cooling Holes, ASME - Journal of Turbomachinery, vol. 140, p. 12, 2018.

P.-K. Wu, K. A. Kirkendall, R. P. Fuller and A. S. Nejad, Breakup Processes of Liquid Jets in Subsonic Crossflows, Journal of Propulsion and Power, vol. 13, no. 1, p. 19, 1997.

S. B. Tambe, S.-M. Jeng, H. Mongia and G. Hsiao, Liquid Jets in Subsonic Crossflow, AIAA - Aerospace Sciences Meeting and Exhibit, vol. 43, p. 14, 2005.

A. Lefebvre, Atomization and Sprays, 3 ed., vol. 2, West Lafayette: Taylor and Francis, 1989.

P. Dr Stephan, H. Dr Martin and K. Dr Schaber, VDI Heat Atlas, 2 ed., vol. 2, P. P. Stephen, Ed., Dusseldorf: Springer, 2010.

W. T. Eckert, K. W. Mort and J. Jope, Aerodynamic Design Guidelines And Computer Program for Estimation of Subsonic Wind Tunnel Performance, National Aeronautics and Space Administration, Washington, 1976.

J. R. Thome, Encyclopedia of Two Phase Heat Transfer and Flow IV, World Scientific Publishing Co Pte Ltd, 2018.


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