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Experimental characterization of the spreading and break-up of liquid flat-fan sheets discharging in a low-density atmosphere and application to BrLi solutions

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Abstract

This work presents and characterizes the existence of two different regimes in the spreading and break-up of liquid flat-fan sheets when discharging in low-density atmospheres. The motivation of the study is the improvement on the absorption phenomena of lithium bromide aqueous solution when discharging in a 600–1,500 Pa water vapor environment. This corresponds to the absorber conditions in current absorption closed-cycle cooling machines. Despite this, the dimensionless characterization obtained has universal validity. The conditions that define the change in the break-up regime, the dimensionless sheet break-up length and the break-up time are given as a function of the parameters involved. Digital particle tracking velocimetry (PTV) has been applied to measure the velocity field and additional visualization techniques have been used to further characterize the break-up process. The experiments verify the existence of critical gas-to-liquid density and viscosity ratios below which gas to liquid interaction becomes negligible. The article also offers expressions that define their values as a function of the other dimensionless parameters.

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References

  • Arzoz D, Rodríguez PA, Izquierdo M (2005) Experimental study on the adiabatic absorption of water vapour into LiBr-H20 solutions. Appl Therm Eng 25:797–811

    Article  Google Scholar 

  • ASHRAE (2002) ASHRAE Handbook. Refrigeration. American Society of Heating, Refrigerating and Air-Conditioning Engineering, Inc. 41.1–41.11

  • ASHRAE (2005) Ashrae Handbook. Fundamentals. American Society of Heating, Refrigerating and Air-Conditioning Engineering, Inc. 19.1–19.11

  • Brenner MP, Gueyffier D (1999) On the bursting of viscous films. Phys Fluids 11(3):737–739

    Article  MATH  Google Scholar 

  • Blasius H (1908) Grenzschichten in Flussigkeiten mit kleiner Reibung. Z. Mat. Physik, 56, 1–37. English translation: 1950. The boundary layers in fluids with little friction. NACA Technical Memorandum 1256

  • Bogatykh SA, Evnovick ID (1963) A study of the viscosity of aqueous solutions of LiCl, BrLi, CaCl2 applicable to the normal drying of gases. Zh Prikl Khim 36(8):1867–1868

    Google Scholar 

  • Bremond N, Villermaux E (2006) Atomization by jet impact. J Fluid Mech 549:273–306

    Article  Google Scholar 

  • Bremond N, Clanet C, Villermaux E (2007) Atomization of undulating liquid sheets. J Fluid Mech 585:421–456

    Article  MATH  MathSciNet  Google Scholar 

  • Bush JWM, Hasha AE (2004) On the collision of laminar jets: fluid chains and fishbones. J Fluid Mech 511:285–310

    Article  MATH  MathSciNet  Google Scholar 

  • Clark CJ, Dombrowski N (1972) Aerodynamic instability and disintegration of inviscid liquid sheets. Proc R Soc Lond A Math Phys Sci 329:467–478

    MATH  Google Scholar 

  • Jazayeri SA, Li X (2000) Nonlinear instability of plane liquid sheets. J Fluid Mech 406:281–308

    Article  MATH  MathSciNet  Google Scholar 

  • Hagerty WW, Shea JF (1955) A study of the stability of plane fluid sheets. J Appl Mech 22:509–514

    Google Scholar 

  • Keller JB (1983) Breaking of liquid films and threads. Phys Fluids 26:3451

    Article  MATH  Google Scholar 

  • Keller JB, King A, Ting T (1995) Blob formation. Phys Fluids 7:226

    Article  MATH  MathSciNet  Google Scholar 

  • Lamp P, Ziegler F (1998) European research on solar-assisted air conditioning. Int J Refrig 21:89–99

    Article  Google Scholar 

  • Lecuona A, Sosa P, Rodríguez PA, Zequeira RI (2000) Volumetric characterization of dispersed two-phase flows by digital image analysis. Meas Sci Technol 11:1152–1161

    Article  Google Scholar 

  • Lin SP (2003) Breakup of liquid sheets and jets. Cambridge University Press, London

    MATH  Google Scholar 

  • Lin SP, Reitz RD (1998) Drop and spray formation from a liquid jet. Annu Rev Fluid Mech 30:85–105

    Article  MathSciNet  Google Scholar 

  • Lin SP, Jiang WY (2003) Absolute and convective instability of a radially expanding liquid sheet. Phys Fluid 15:1745–1754

    Article  Google Scholar 

  • Mehring C, Sirignano WA (1999) Nonlinear capillarity wave distortion and disintegration of thin planar liquid sheets. J Fluid Mech 388:69–113

    Article  MATH  MathSciNet  Google Scholar 

  • Ryan W, Ruiz F, Wurm J (1995) Model development and verification of spray absorption for gas driven cooling systems. International Gas Research Conference 1483–1498

  • Sumathy K, Huang ZC, Li ZF (2002) Solar absorption cooling with low grade heat source a strategy of development in south China. Sol Energy 72:155–165

    Article  Google Scholar 

  • Taylor GI (1959) The dynamics of thin sheets of fluid. II Waves on fluid sheets. III Disintegration of fluid sheets. Proc R Soc Lond A Math Phys Sci 253:296–321

    Article  Google Scholar 

  • Tsai BB, Perez-Blanco H (1998) Limits of mass transfer enhancement in lithium bromide-water absorbers by active techniques. Int J Heat Mass Transf 41:2409–2416

    Article  Google Scholar 

  • Tharakan TJ, Raamurthi K, Balakrishman M (2002) Nonlinear breakup of thin liquid sheets. Acta Mech 156:29–46

    Article  MATH  Google Scholar 

  • Uemura T, Hasaba S (1964) Tech Repr Kansai Univ 6:31–55

    Google Scholar 

  • Venegas M, Izquierdo M, de Vega M, Lecuona A (2002) Thermodynamic study of multistage absorption cycles using low temperature heat. Int J Energy Res 26:775–791

    Article  Google Scholar 

  • Venegas M, Rodríguez P, Lecuona A, Izquierdo M (2005) Spray absorbers in absorption systems using lithium nitrate-ammonia solution. Int J Refrig 28:554–564

    Article  Google Scholar 

  • Villermaux E, Clanet C (2002) Life of a flapping liquid sheet. J Fluid Mech 462:341–363

    Article  MATH  MathSciNet  Google Scholar 

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Acknowledgments

Part of the instrumentation used in this work was available in the laboratory thanks to previous projects: CICYT AMB93-1430-CO2-01-CE, CICYT AMB99-0211, DGICYT PB95-0150-CO2-02, DPI -2003-01567 (CLIMABCAR), FIT-020100-2003-233 & FIT-020400-2004-68 (MINICOM fases I y II). Their contribution is gratefully appreciated. The last stages leading to this publication have been supported by the project ENE2006-13617 (TERMOPIV), from the Spanish Ministerio de Educación y Ciencia. The authors would like to thank the laboratory technicians Manuel Santos and Carlos Cobos for their dedication.

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Palacios, E., Nogueira, J., Rodríguez, P.A. et al. Experimental characterization of the spreading and break-up of liquid flat-fan sheets discharging in a low-density atmosphere and application to BrLi solutions. Exp Fluids 46, 331–342 (2009). https://doi.org/10.1007/s00348-008-0564-7

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