Abstract
Distribution characteristics of liquid droplet size are described using the fractal theory for liquid droplet size distribution in gas-liquid mist flow. Thereby, the fractal expression of the maximum droplet diameter is derived. The fractal model for maximum droplet diameter is obtained based on the internal relationship between maximum droplet diameter and the droplet fractal dimension, which is obtained by analyzing the balance between total droplet surface energy and total gas turbulent kinetic energy. Fractal model predictions of maximum droplet diameter agree with the experimental data. Maximum droplet diameter and droplet fractal dimension are both found to be related to the superficial velocity of gas and liquid. Maximum droplet diameter decreases with an increase in gas superficial velocity but increases with an increase in liquid superficial velocity. Droplet fractal dimension increases with an increase in gas superficial velocity but decreases with an increase in liquid superficial velocity. These are all consistent with the physical facts.
Highlights
Since the 1960s, coalescence and breakup phenomena of droplets in gas-liquid mist flow have obtained extensive attention in many physical and chemical process applications [1,2,3], such as distillation, gas absorption, and multiphase reactions
An empirical binomial equation was introduced by Andreussi et al [8] based on their own data, with the first term proportional to gas superficial velocity and the second term linked to the square root of film thickness
Ueda [9] measured size and droplet removal flow rate in upward annular gas-liquid flow. He derived the rate of droplet movement between the liquid film and the gas core by considered droplet transference rates between the gas core and the liquid film
Summary
Since the 1960s, coalescence and breakup phenomena of droplets in gas-liquid mist flow have obtained extensive attention in many physical and chemical process applications [1,2,3], such as distillation, gas absorption, and multiphase reactions. The fractal model of maximum droplet diameter is obtained by combining the analysis of the droplets total surface energy with that of gas flow total turbulent kinetic energy balance. Substituting (5) and (6) into (10), the maximum droplet diameter on the basis of mist flow characteristics can be solved: λmax
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