Application of maximum entropy method for droplet size distribution prediction using instability analysis of liquid sheet |
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Authors: | E Movahednejad F Ommi S M Hosseinalipour C P Chen S A Mahdavi |
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Institution: | (1) Tarbiat Modares University, 14115-143 Tehran, Iran;(2) Iran University of Science and Technology, Tehran, Iran;(3) University of Alabama in Huntsville, Huntsville, AL 35899, USA |
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Abstract: | This paper describes the implementation of the instability analysis of wave growth on liquid jet surface, and maximum entropy
principle (MEP) for prediction of droplet diameter distribution in primary breakup region. The early stage of the primary
breakup, which contains the growth of wave on liquid–gas interface, is deterministic; whereas the droplet formation stage
at the end of primary breakup is random and stochastic. The stage of droplet formation after the liquid bulk breakup can be
modeled by statistical means based on the maximum entropy principle. The MEP provides a formulation that predicts the atomization
process while satisfying constraint equations based on conservations of mass, momentum and energy. The deterministic aspect
considers the instability of wave motion on jet surface before the liquid bulk breakup using the linear instability analysis,
which provides information of the maximum growth rate and corresponding wavelength of instabilities in breakup zone. The two
sub-models are coupled together using momentum source term and mean diameter of droplets. This model is also capable of considering
drag force on droplets through gas–liquid interaction. The predicted results compared favorably with the experimentally measured
droplet size distributions for hollow-cone sprays. |
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