The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution

doi:10.1016/j.cjche.2014.10.013

›› 2015, Vol. 23 ›› Issue (2): 337-341.DOI: 10.1016/j.cjche.2014.10.013

The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution

Saima Noor¹, Shamsul Qamar²

1 Department of Mathematics, COMSATS Institute of Information Technology, Mansehra Road, Abbottabad, Pakistan;
2 Department of Mathematics, COMSATS Institute of Information Technology, Plot No 30 Chak Shehzad Road, Islamabad, Pakistan

收稿日期:2013-05-14 修回日期:2014-04-16 出版日期:2015-02-28 发布日期:2015-03-01
通讯作者: Saima Noor

The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution

Saima Noor¹, Shamsul Qamar²

1 Department of Mathematics, COMSATS Institute of Information Technology, Mansehra Road, Abbottabad, Pakistan;
2 Department of Mathematics, COMSATS Institute of Information Technology, Plot No 30 Chak Shehzad Road, Islamabad, Pakistan

Received:2013-05-14 Revised:2014-04-16 Online:2015-02-28 Published:2015-03-01

摘要/Abstract

摘要： 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.

关键词: Population balances, Batch process, Crystallization, Dissolution of fines, Space-time conservation element and solution element method

Abstract: 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.

Key words: Population balances, Batch process, Crystallization, Dissolution of fines, Space-time conservation element and solution element method

Saima Noor, Shamsul Qamar. The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution[J]. , 2015, 23(2): 337-341.

参考文献

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The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution

The space time CE/SE method for solving one-dimensional batch crystallization model with fines dissolution

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