Madras, Giridhar and McCoy, Benjamin J (2002) Dynamics of crystal size distributions with size-dependent rates. In: Journal of Crystal Growth, 243 (1). pp. 204-213.
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The growth and dissolution dynamics of nonequilibrium crystal size distributions (CSDs) can be determined by solving the governing population balance equations (PBEs) representing reversible addition or dissociation. New PBEs are considered that intrinsically incorporate growth dispersion and yield complete CSDs. We present two approaches to solving the PBEs, a moment method and a numerical scheme. The results of the numerical scheme agree with the moment technique, which can be solved exactly when powers on mass-dependent growth and dissolution rate coefficients are either zero or one. The numerical scheme is more general and can be applied when the powers of the rate coefficients are non-integers or greater than unity. The influence of the size dependent rates on the time variation of the CSDs indicates that as equilibrium is approached, the CSDs become narrow when the exponent on the growth rate is less than the exponent on the dissolution rate. If the exponent on the growth rate is greater than the exponent on the dissolution rate, then the polydispersity continues to broaden. The computation method applies for crystals large enough that interfacial stability issues, such as ripening, can be neglected. (C) 2002 Elsevier Science B.V. All rights reserved.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier Science.|
|Keywords:||A1.Computer simulations;A1.Crystal growth and dissolution; A1.Crystal size distributions;A1.Growth models;A1.Moment and numerical solutions;A1.Population balance equation|
|Department/Centre:||Division of Mechanical Sciences > Chemical Engineering|
|Date Deposited:||20 Jul 2011 09:00|
|Last Modified:||20 Jul 2011 09:00|
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