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Atomization and Sprays

Journal of the International Institutes for Liquid Atomization and Spray Systems 

ISSN for PRINT: 1045-5110

Institutional price:

$787.00

Issues per year:

8

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Best Paper Award Selection - Editorial Board Site

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1997, Volume7

Issue 1

  126 pages  

   

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Issue price - $75.00  

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  • THEORY OF DROPLETS (II): STATES, STRUCTURES, AND LAWS OF INTERACTING DROPLETS
  • Huei-Huang Chiu
    Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan,70101, ROC

    S. P. Su
    Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan


    ABSTRACT

    A theory of interacting droplets featuring laminar, hydrodynamically modulated, collisionless drop-drop interactions is developed through the extension of canonical and re normalization techniques to aid in the examination of structures, states, and laws of interphase phenomena in nonreactive environments. Parametric sensitivities of interphase processes and droplet behavior are investigated in wide ranges of Reynolds numbers, transfer numbers, and two renormalization numbers for gasification and aerodynamic drag, respectively. The laws of vaporization and aerodynamic drag of an interacting droplet in a nondilute droplet system agree with the results of Godsave, Spalding, and Stokes, in appropriate limiting cases of isolated droplets in a dilute system. Interacting droplets in nonreactive environments assume one of three allowed states: the normal state, featuring a finite gasification rate and aerodynamic drag; the "aerodynamically masked state," featuring vanishing aerodynamic drag and a finite gasification rate; and the frozen state, with vanishingly small drag and gasification rate. The structure of an interacting droplet environment exhibits a nonuniform concentration with temperature stratification, induced by the gasification of cellular-shaped ring clusters in the environment of each droplet. Laws and correlation functions for vaporization and aerodynamic drag are established to aid in the spray calculation in selected ranges of the principal parameters.

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