Volume 15, Issue 8 (10-2015)
Modares Mechanical Engineering 2015, 15(8): 417-428 |
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Badie Sichani A, Davazdah Emami M. English] Analytical modeling of deformation of a liquid drop exposed to a gas flow. Modares Mechanical Engineering 2015; 15 (8) :417-428
URL: http://mme.modares.ac.ir/article-15-9703-en.html
URL: http://mme.modares.ac.ir/article-15-9703-en.html
1- Isfahan University of Technology
Abstract: (5053 Views)
A theoretical nonlinear droplet deformation model with an accurate estimation of aerodynamic force, which is appropriate for Lagrangian droplet tracking schemes, is presented and validated. The modeling is based on keeping track only of the fundamental oscillation mode. This conventional approach has been used in many deformation-based breakup models including Taylor Analogy Breakup, Droplet Deformation and Breakup, and Nonlinear Taylor Analogy Breakup. However, these models have some shortcomings such as the use of several calibration coefficient, two-dimensional analysis, and rough approximation of aerodynamic forces in large deformations. This paper is intended to amend these defects. The formulation is based on mechanical energy equation. The pressure distribution profile around the deformed droplet is approximated using a piecewise sinusoidal function which depends on Reynolds number and droplet deformation. The final kinetic equation is numerically solved using a fourth-order Runge-Kutta method and the results are compared with those of other models, experiments, and a Volume of Fluid simulation. Numerical results show that the present model predicts slightly greater deformations in comparison with other models for the unsteady case, which is more consistent with the experimental data. Considering the steady case, the results of present model stand between that of Taylor Analogy Breakup and Nonlinear Taylor Analogy Breakup model, and provide satisfactory predictions. The stream lines obtained from simulation match those of calculated analytically suggesting the appropriateness of the assumptions used in the modeling. Overall, the present model is found to be appropriate for the estimation of droplet deformation.
Keywords: Droplet aerodynamic interaction, Large deformation of droplet, Theoretical analysis, Secondary breakup models
Article Type: Research Article |
Subject:
Two & Multi Phase Flow
Received: 2015/05/19 | Accepted: 2015/07/2 | Published: 2015/07/13
Received: 2015/05/19 | Accepted: 2015/07/2 | Published: 2015/07/13
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