Semi-analytical Model of Oscillation of Liquid Metal Droplet in a Water Flow

来源 :13th International Conference on Liquid Atomization and Spra | 被引量 : 0次 | 上传用户:ly6624
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  This work is focused on liquid metal droplet oscillation due to hydrodynamic disturbances generated by a water flow.The understanding and modeling of liquid metal drop deformation can help in comprehending and simulating the Fuel Coolant Interaction(FCI)which can occur in a severe nuclear accident with core meltdown.To develop an analytical model,Josephs viscous potential flow theory is used to develop a nonlinear oscillator equation of drop deformation where we assume that the droplet deforms into an ellipsoid.This approach leads to a model without any fitting parameters but valid for a limited range of Weber number.To obtain an evolution equation for the droplet deformation,a balance between kinetic energy deformation,surface energy creation,external pressure work and viscous dissipation is written.This is the approach developed in the classical Taylor Analogy Breakup(TAB)or Droplet Deformation and Breakup(DDB)model.However TAB model is pure analogy and dimensional analysis and DDB model assumes that the pressure work is independent of the shape of the droplet whereas it is,here,computed assuming that the outer flow can be computed using potential flow theory.Results of this model are compared with Direct Numerical Simulations(DNS)for Weber number less than 10 for which the droplet oscillates.Numerical simulations are performed using the VOF code "Gerris" with different adaptive mesh refinement criteria in order to capture accurately interface deformation and dynamics.Further development of this modeling may include the introduction of vortical movement akin to Hills solution inside the drop and a pressure correction to the viscous potential flow to take into account the boundary layer between the two fluids.
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