A Model for Transitional Breakage Probability of Droplets in Agitated Lean Liquid-liquid Dispersions
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چکیده
Abstract-A model for transItional breakage probabfity of droplets m astated lean bqmd-hqmd dlsperslons IS proposed based on the mechamsm of breakage of droplets due to theu osculations resultmg from relative velocity Ructuahons A umvcrsal translhonal breakage probabhty m terms of non-dunenslonahzed drop diameter IS denved for all dispersed phases whose density and viscosity are almost the same as that of contmuous phase The maxunum stable drop diameter d,, denved from the model, shows a dependence of N$6 It IS shown that a “power law” approxtmahon Kv” IS valid for transitional breakage probabtity for d/d, up to 2 The exponent 2 67, predlcted by tins model corresponds rather well wdh an e&mate of 2, obtamed from expenmental observations A functional relabon for the rate constant K m terms of the parameters and physlcal properties of the system IS denved A utuversal non-dlmensionahzed eqmhbnum drop-size dlsmbution for a@ated lean hqmd-hqmd dlsperslons IS denved by analykal solution of a population balance equation sunpitied by order of magmtude estunates Interest&y enough, this analytIcal solution IS the same as the Gaussian dlstnbuhon suggested empmcally by Chen and MddIeman
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تاریخ انتشار 2001