Transient deformation and evaporation of droplets at intermediate Reynolds numbers

Abstract The early life histories of isolated n -heptane droplets injected into 1000 K air at 1 and 10 atm with initial Reynolds and Weber numbers of 100 and 2, respectively, are reported. A numerical model is used to predict the transient droplet shape, and the velocity, pressure, temperature and concentration fields in both phases. Initially spherical droplets show strongly damped oscillations at frequencies within 25% of the theoretical natural frequency of Lamb (1932). Circulation within the droplets is responsible for the observed strong damping and promotes the formation of prolate shapes for surfactant-free droplets. The computed heat and mass transfer rates are well predicted by existing quasi-steady correlations.

[1]  Michael J. Miksis,et al.  Axisymmetric bubble or drop in a uniform flow , 1981, Journal of Fluid Mechanics.

[2]  H. R. Pruppacher,et al.  A wind tunnel investigation of the internal circulation and shape of water drops falling at terminal velocity in air , 1970 .

[3]  Metin Renksizbulut,et al.  Numerical Solution of Deforming Evaporating Droplets at Intermediate Reynolds Numbers , 1994 .

[4]  J. Masliyah,et al.  NUMERICAL SOLUTION OF HEAT AND MASS TRANSFER FROM SPHEROIDS IN STEADY AXISYMMETRIC FLOW , 1972 .

[5]  S. Jeng,et al.  Two-dimensional simulations of droplet evaporation and deformation at high pressure , 1992 .

[6]  H. A. Dwyer,et al.  Detailed computation of unsteady droplet dynamics , 1985 .

[7]  K. Asano,et al.  NUMERICAL ANALYSIS OF DRAG COEFFICIENTS AND THE HEAT AND MASS TRANSFER OF SPHEROIDAL DROPS , 1986 .

[8]  C. H. Chiang,et al.  Numerical analysis of convecting, vaporizing fuel droplet with variable properties , 1992 .

[9]  S. Subramanyam A note on the damping and oscillations of a fluid drop moving in another fluid , 1969, Journal of Fluid Mechanics.

[10]  S. G. Terjesen,et al.  On the terminal velocity of circulating and oscillating liquid drops , 1968 .

[11]  Xianguo Li,et al.  A mass transfer correlation for droplet evaporation in high-temperature flows , 1991 .

[12]  J. F. Harper,et al.  The Motion of Bubbles and Drops Through Liquids , 1972 .

[13]  M. Renksizbulut,et al.  A Detailed Examination of Gas and Liquid Phase Transient Processes in Convective Droplet Evaporation , 1989 .

[14]  James E. McDonald,et al.  THE SHAPE AND AERODYNAMICS OF LARGE RAINDROPS , 1954 .

[15]  David S. Dandy,et al.  Buoyancy-driven motion of a deformable drop through a quiescent liquid at intermediate Reynolds numbers , 1989, Journal of Fluid Mechanics.

[16]  M. Renksizbulut,et al.  Experimental Study of Droplet Evaporation in a High-Temperature Air Stream , 1983 .

[17]  G. Faeth Evaporation and combustion of sprays , 1983 .

[18]  G. Foote On the Internal Circulation and Shape of Large Raindrops , 1969 .

[19]  Portonovo S. Ayyaswamy,et al.  Evaporation of a moving liquid droplet: Solutions for intermediate Reynolds numbers , 1990 .

[20]  Chung King Law,et al.  Recent advances in droplet vaporization and combustion , 1982 .

[21]  ON THE SHAPE OF WATER DROPS FALLING IN STAGNANT AIR , 1954 .

[22]  W. Sirignano Fuel droplet vaporization and spray combustion theory , 1983 .

[23]  B. T. Chao,et al.  Droplet Motion in Purified Systems , 1966 .

[24]  Numerical investigation of the steady viscous flow past a stationary deformable bubble , 1985 .

[25]  M. Renksizbulut,et al.  Transient droplet evaporation with variable properties and internal circulation at intermediate reynolds numbers , 1988 .

[26]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique , 1984, Journal of Fluid Mechanics.

[27]  S. Prakash,et al.  Theory of convective droplet vaporization with unsteady heat transfer in the circulating liquid phase , 1980 .

[28]  N. Cheremisinoff,et al.  Shapes and velocities of single drops and bubbles moving freely through immiscible liquids. , 1976 .

[29]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[30]  L. E. Scriven,et al.  The oscillations of a fluid droplet immersed in another fluid , 1968, Journal of Fluid Mechanics.

[31]  A. Reinhart Das Verhalten fallender Tropfen , 1964 .

[32]  L. E. Johns,et al.  Mechanism of dispersed‐phase mass transfer in viscous, single‐drop extraction systems , 1966 .

[33]  M. Renksizbulut,et al.  Numerical Study of Droplet Evaporation in a High-Temperature Stream , 1983 .

[34]  H. Dwyer Calculations of droplet dynamics in high temperature environments , 1989 .