Simulation of particulate processes (Studien-, Diplom-, Projekt-, Bachelor- oder Master-Arbeit) Prerequisites Diﬀerential equations Orthogonal polynomials Matlab programming Supervisor M.Sc. Iqra Batool E-Mail:[email protected] Phone: +49 631/205-3702 Building 42, Room 257 Publishing date May 12, 2017 Description Population balance systems characterizing particulate processes consist of nonlinear integro-partial diﬀerential equations. Analysis of such systems is carried out to study the behavior of population of particles. In a series of previous work, an approximated method of moments (AMOM) has been developed for PBM with nucleation and growth phenomenon. In this project the AMOM will be developed for PBM with aggregation and breakage phenomena additionally. These models are encountered in various applications mainly chemical engineering, such as crystallization, systems biology, pharmaceutical, reactive precipitation and water processing (among others). Goals The main aim of this research is to investigate the mech- anisms in particulate processes by approximating the aggregation and breakage kernels using orthogonal polynomials. Moreover, the closed and reduced order ODE model will be developed to solve numerically. The goals can be listed as following: • Approximation of kernels • Development of closed ODE model • Numerical solutions • Application on crystallization processes Prof. Dr. -Ing. Naim Bajcinca Department of Mechatronics in Mechanical and Automotive Engineering Technical University Kaiserslautern Gottlieb-Daimler-Straße, 67663 Kaiserslautern Tel: 0631 / 205 3229, Fax: 0631 / 205 4201

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Page 1: (Studien-, Diplom-, Projekt-, Bachelor- oder Master-Arbeit) · PDF file(Studien-, Diplom-, Projekt-, Bachelor- oder Master-Arbeit) ... of previous work, ... In this project the AMOM

Simulation of particulate processes(Studien-, Diplom-, Projekt-, Bachelor- oder Master-Arbeit)

PrerequisitesDifferential equationsOrthogonal polynomialsMatlab programming

SupervisorM.Sc. Iqra BatoolE-Mail:[email protected]

Phone: +49 631/205-3702Building 42, Room 257

Publishing dateMay 12, 2017

DescriptionPopulation balance systems characterizing particulate pro-cesses consist of nonlinear integro-partial differentialequations. Analysis of such systems is carried out tostudy the behavior of population of particles. In a seriesof previous work, an approximated method of moments(AMOM) has been developed for PBM with nucleationand growth phenomenon. In this project the AMOM willbe developed for PBM with aggregation and breakagephenomena additionally. These models are encountered invarious applications mainly chemical engineering, such ascrystallization, systems biology, pharmaceutical, reactiveprecipitation and water processing (among others).

GoalsThe main aim of this research is to investigate the mech-anisms in particulate processes by approximating theaggregation and breakage kernels using orthogonal polynomi-als. Moreover, the closed and reduced order ODE model willbe developed to solve numerically. The goals can be listed asfollowing:

• Approximation of kernels• Development of closed ODE model• Numerical solutions• Application on crystallization processes

Prof. Dr. -Ing. Naim BajcincaDepartment of Mechatronics in Mechanical and Automotive Engineering

Technical University KaiserslauternGottlieb-Daimler-Straße, 67663 KaiserslauternTel: 0631 / 205 3229, Fax: 0631 / 205 4201