For the conditions of a high-speed gas flow, within the framework of the model of quasi-continuous fragmentation of a droplet due to the mechanism of gradient instability, a differential equation of mass loss has been obtained. Within the approximation of the droplet sphericity, the law of variation of its mass, which depends on droplet acceleration by the gas stream, as well as the conditions and time of complete fragmentation of the droplet, have been found. A differential equation for the quantity of torn off droplets, has been obtained. In the event of equality between the rates of dispersion and relaxation equalization of the droplet and gas flow velocities, the size distribution functions of the number and mass of torn off droplets, as well as the values of the modal radius and total number of torn off droplets, have been found.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 84, No. 2, pp. 248–254, March–April, 2011.
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Girin, A.G. Equations of the kinetics of droplet fragmentation in a high-speed gas flow. J Eng Phys Thermophy 84, 262–269 (2011). https://doi.org/10.1007/s10891-011-0468-x
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DOI: https://doi.org/10.1007/s10891-011-0468-x