01.Aug.2019
We propose continuous approximations to the population balance equation based on maximization of the Shannon entropy subject to the expected properties of the particle size distribution (PSD). This solution is used to close the source term of the PBE with careful sampling of the PSD at prescribed points as roots of the Nth-degree Legendre polynomial. Being a maximum entropy functional, the solution is unique and converges to the exact solution as the number of sampling points increases with accurate calculation of PSD integral properties. The accuracy and efficiency of the method are demonstrated by trying different analytical case studies (particle aggregation, aggregation and growth, and particle breakage) where we show it is not restricted to prespecified particle kinetics and functional forms. As practical case study, we modelled the coupled hydrodynamics and mass transfer in different liquid extraction columns and compared the calculated results with published steady state experimental data.https://www.researchgate.net/publication/335359232_On_the_solution_of_the_population_balance_equation_From_global_to_local_constrained_maximum_entropy_method
We propose continuous approximations to the population balance equation based on maximization of the Shannon entropy subject to the expected properties of the particle size distribution (PSD). This solution is used to close the source term of the PBE with careful sampling of the PSD at prescribed points as roots of the Nth-degree Legendre polynomial. Being a maximum entropy functional, the solution is unique and converges to the exact solution as the number of sampling points increases with accurate calculation of PSD integral properties. The accuracy and efficiency of the method are demonstrated by trying different analytical case studies (particle aggregation, aggregation and growth, and particle breakage) where we show it is not restricted to prespecified particle kinetics and functional forms. As practical case study, we modelled the coupled hydrodynamics and mass transfer in different liquid extraction columns and compared the calculated results with published steady state experimental data.
https://www.researchgate.net/publication/335359232_On_the_solution_of_the_population_balance_equation_From_global_to_local_constrained_maximum_entropy_method
17.Apr.2024
16.Jan.2024
20.Sep.2023
أنا طالبة في الهندسة الصناعية, اختياري لهذا التخصص كان بناءً على أهميته الكبيرة كمهنة في الحاضر والمستقبل ... رغد بركات
الهندسة الصناعية تساعدك على اتخاذ قرارات أفضل، وتعطي أشكالا أخرى من مبادئ الهندسة بشكل عملي وعلمي في آن. ... محمود صلاح
قسم الهندسة الكيميائية قسم جميل جدا تعلمت فيه الكثير ومما تعلمته فيه جدية العمل وروح الفريق الواحد .. ... رغد الشويكي