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# Course Information

 Course Name Turkish Kimya Mühendisliğinde Matematiksel Modelleme English Mathematical Modelling in Chemical Eng Course Code KMM 342E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester - 3 6 - - Course Language English Course Coordinator Şerife Birgül Ersolmaz Course Objectives 1. To train students to identify and analyze modeling problems encountered in chemical engineering. 2. To train students to develop a mathematical representation of the behavior of a system or process in chemical engineering and identify important parameters of the problem. 3. To train students to acquire knowledge of the mathematical techniques required to solve the equations specific to the type of problems encountered in chemical engineering. 4. To develop the computing skills of students by providing practice with computer programming and the use of computer software that can be used in the solution of model equations. 5. To show students how to use their engineering background to evaluate, verify, and check the consistency of a model. 6. To provide experience to work in teams. Course Description Basic Concepts of Modeling. Fundamental Laws (Momentum, Heat, and Mass Transport). Derivation of Model Equations and Boundary Conditions. Model Hierarchy. Solution Techniques for Models Yielding ODEs. Numerical Solution of ODEs: Initial value and Boundary value Problems. Solution Techniques for Models Yielding PDEs. Numerical Solution of PDEs. Course Outcomes Upon completion of this course, a student should be able to: 1. Analyze the system or process to be modeled and define geometrical, physical, and chemical quantities. 2. Select important variables and parameters of the system. 3. Apply conservation laws to produce model equations for a system or process in chemical engineering. 4. Write appropriate initial and boundary conditions for the differential model equations developed. 5. Draw a sketch of the expected behavior of the dependent variables of the problem. 6. Search out solution methods, and consider possible approximations for the defining equation and an acceptable final solution. 7. Solve the ODEs and PDEs encountered in modeling of chemical systems or processes by using appropriate analytical and/or numerical methods. 8. Use computer programming and mathematical software available in the university computer center to solve ordinary and partial differential equations. 9. Work as a team member in the same discipline to solve mathematical modeling problems in chemical engineering. Pre-requisite(s) MAT 201 MIN FFnor MAT 201E MIN FF Required Facilities Other Textbook 1. Applied Mathematics and Modeling for Chemical Engineers R. C. Rice and D. D. Do, John Wiley, 1995 2. Mathematical Modeling for Chemical Engineers, Course Handouts H. Atakül and Ş. B. Tantekin-Ersolmaz, ITU Chemical Eng. Dept., 2001. Other References 1. Conservation Equations and Modeling of Chemical and Biochemical Processes, S.S.E.H. Elnashaie and P. Garhyan, CRC, NY, 2003. 2. Transport Phenomena, B. R. Bird, W. E. Stewart and E. N. Lightfoot, 2nd Ed., John Wiley, NY, 2002. 3. Process Modeling and Model Analysis, K. Hangos and I. Cameron, Academic Press, London, 2001. 4. Process Modeling, Simulation and Control for Chemical Engineers, W. L. Luyben, 2nd Ed., McGraw Hill, NY, 1990. 5. Mathematical Methods in Chemical Engineering, V.G. Jenson and G.V. Jeffreys, 2nd Ed., Academic Press, NY, 1977. 6. Advanced Engineering Mathematics, E. Kreyszig, 8th Ed., John Wiley, NY, 1999. 7. Numerical Methods Using MATLAB, G. Lindfield and J. Penny Ellishorwood, Prentice Hall, NY, 1995. 8. Numerical Computing with MATLAB, C. B. Mole, SIAM, 2004 (also available at http://www.mathworks.com/moler/chapters.html)