It is shown that the increase of drop sizes with the fraction by volume of all drops (holdup) in agitated liquidliquid dispersions cannot be attributed entirely to turbulence damping caused by the dispersed phase. A new model, based on the role of coalescence of the dispersed phase, is suggested to account for the observed drop size behavior. The coalescence frequency resulting from binary drop collisions is equated to an effective breakup frequency to yield a semiempirical relation for the increase in drop sizes with holdup. The relation explains some differences among reported experimental results and correlates the data from systems with different degrees of chemical destabilization.
A correlation of flame heights is presented for recent experiments of merging group fires produced from arrays of gaseous burners. The correlation is based on two considerations: a) the air entrainment up to the flame height is proportional to the stoichiometric requirements for combustion of the fuel and b)the air entrained is equal to the side area of the plume multiplied by an entrainment velocity proportional to the square root of the vertical distance from the source. This correlation is applicable for an array of merging fires as recent results verify. Justification for merging of the investigated group fires is given together with comparison with older work.
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