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Physics of Fluids / Volume 24 / Issue 2 / ARTICLES / Interfacial Flows

Phys. Fluids 24, 022104 (2012); http://dx.doi.org/10.1063/1.3680867 (39 pages)

The physics of aerobreakup. II. Viscous liquids

T. G. Theofanous, V. V. Mitkin, C. L. Ng, C-H. Chang, X. Deng, and S. Sushchikh

Chemical Engineering Department and Center for Risk Studies and Safety, University of California, Santa Barbara, California 93106, USA

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(Received 6 June 2011; accepted 14 December 2011; published online 14 February 2012; publisher error corrected 16 February 2012)

We extend the work of Theofanous and Li [“On the physics of aerobreakup,” Phys. Fluids 20, 052103 (2008)] on aerobreakup physics of water-like, low viscosity liquid drops, to Newtonian liquids of any viscosity. The scope includes the full range of aerodynamics from near incompressible to high Mach number flows. The key physics of Rayleigh–Taylor piercing (RTP, first criticality) and of shear-induced entrainment (SIE, second and terminal criticality) are verified and quantified by new viscosity- and capillarity-based scalings for fluids of any viscosity. The relevance and predictive power of linear stability analysis of the Rayleigh–Taylor and Kelvin–Helmholtz problems (both including viscosity) is demonstrated for the RTP and the SIE regimes, respectively. The advanced stages of breakup and of the resulting particle-clouds are observed and clear definition and quantification of breakup times are offered.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. EXPERIMENTAL METHODS
  3. NUMERICAL SIMULATION METHODS
  4. LONG-WAVE PHENOMENA
  5. SHORT-WAVE PHENOMENA
    1. Scaling laws of the second criticality
    2. Interfacial instabilities
      1. The key early morphologies
      2. The viscous K-H instability
      3. The sonic effects
  6. BREAKUP TIMES
    1. Timings of breakup processes in RTP
    2. Timings of breakup processes in SIE
  7. PARTICLE-CLOUD DYNAMICS
  8. CONCLUSIONS

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KEYWORDS and PACS

Keywords

aerodynamics, capillarity, drops, Mach number, Rayleigh-Taylor instability, shear flow, stratified flow, two-phase flow, viscosity

PACS

  • 47.55.df

    Breakup and coalescence

  • 47.55.Hd

    Stratified flows

  • 47.55.nb

    Capillary and thermocapillary flows

  • 47.20.Ft

    Instability of shear flows (e.g., Kelvin-Helmholtz)

  • 47.20.Ma

    Interfacial instabilities (e.g., Rayleigh-Taylor)

  • 47.40.-x

    Compressible flows; shock waves

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3680867

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    T. G. Theofanous and G. J. Li, “On the physics of aerobreakup,” Phys. Fluids 20, 052103 (2008)PHFLE6000020000005052103000001.

    V. V. Mitkin,, A. N. Rozhkov, and T. G. Theofanous, “Pulse jets, rims and elastic-liquid sheets: Rheology at high strain rates and rupture criteria,” AIP Conf. Proc. 1027, 1126 (2008)APCPCS001027000001001126000001.

    C.-L. Ng and T. G. Theofanous, “Modes of aero-breakup with visco-elastic liquids. Pulse jets, rims and elastic-liquid sheets: Rheology at high strain rates,” AIP Conf. Proc. 1027, 183 (2008)APCPCS001027000001000183000001.

    K. O. Mikaelian, “Rayleigh–Taylor instability in finite-thickness fluids with viscosity and surface tension,” Phys. Rev. E 54, 3676–80 (1996).


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