This article is concerned with the numerical investigation of one-dimensional population balance models for batch crystallization process with fines dissolution.In batch crystallization,dissolution of smaller unwanted...This article is concerned with the numerical investigation of one-dimensional population balance models for batch crystallization process with fines dissolution.In batch crystallization,dissolution of smaller unwanted nuclei below some critical size is of vital importance as it improves the quality of product.The crystal growth rates for both size-independent and size-dependent cases are considered.A delay in recycle pipe is also included in the model.The space–time conservation element and solution element method,originally derived for non-reacting flows,is used to solve the model.This scheme has already been applied to a range of PDEs,mainly in the area of fluid mechanics.The numerical results are compared with those obtained from the Koren scheme,showing that the proposed scheme is more efficient.展开更多
The space time conservation scheme is derived on the basis of Cartesian coordinates and rectang ular conservation cells. It is shown that the basic ideas of the scheme are consistent with the finite volume ...The space time conservation scheme is derived on the basis of Cartesian coordinates and rectang ular conservation cells. It is shown that the basic ideas of the scheme are consistent with the finite volume concept when the volume is considered in space time coordinates. This modified space time conservation scheme produces good results for shock reflection.展开更多
文摘This article is concerned with the numerical investigation of one-dimensional population balance models for batch crystallization process with fines dissolution.In batch crystallization,dissolution of smaller unwanted nuclei below some critical size is of vital importance as it improves the quality of product.The crystal growth rates for both size-independent and size-dependent cases are considered.A delay in recycle pipe is also included in the model.The space–time conservation element and solution element method,originally derived for non-reacting flows,is used to solve the model.This scheme has already been applied to a range of PDEs,mainly in the area of fluid mechanics.The numerical results are compared with those obtained from the Koren scheme,showing that the proposed scheme is more efficient.
文摘The space time conservation scheme is derived on the basis of Cartesian coordinates and rectang ular conservation cells. It is shown that the basic ideas of the scheme are consistent with the finite volume concept when the volume is considered in space time coordinates. This modified space time conservation scheme produces good results for shock reflection.
