کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
155822 | 456912 | 2012 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition Numerical reduction of a crystallizer model with internal and external coordinates by proper orthogonal decomposition](/preview/png/155822.png)
Crystallization processes are characterized by close interaction between particle formation and fluid flow. A detailed physical description of these processes leads to complicated high-order models whose numerical solution is challenging and computationally expensive. For advanced process control and other model based real-time applications, reduced order models are required. In this work, a reduced model for a urea crystallizer is derived from a detailed reference model with two external and one internal coordinate. Proper orthogonal decomposition is applied to all three coordinates to obtain a low-order representation of the system. Nonlinear terms are treated efficiently by best points interpolation. Simulations are carried out to show the good agreement between reduced model and reference model.
► We model a urea crystallizer for process control purposes.
► A reference crystallizer model has internal and external coordinates.
► An operator-splitting method is used to solve a coupled population balance system.
► The proposed reduction method is based on empirical basis functions.
► The reduced model shows good agreement with the reference one.
Journal: Chemical Engineering Science - Volume 70, 5 March 2012, Pages 77–86