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![]() | 2013/4 |
![]() | Department of Chemical Engineering |
![]() | 6 |
![]() | Masters UG & PG (FHEQ level 7) |
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Semester 1 |
![]() | CW 70%, EX 30% |
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Like-for-like reassessment (where allowed by programme regulations) |
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![]() | Aims: To provide students with an ability to formulate mathematical models of steady-state and dynamic systems typical of chemical processing as systems of differential equation and to solve these models numerically using MATLAB (numerical computing software). Learning Outcomes: After successfully completing this unit the student should be able to: * formulate mathematical models for homogeneous and heterogeneous systems which describe steady-state or dynamic chemical engineering processes; * implement suitable initial and boundary conditions; * choose and apply numerical methods for the solution of differential equations of both Initial and Boundary Value Problems; * use the concept of numerical stability to analyse step-size; * apply finite difference methods to solve 2nd order differential equations and time dependent partial differential equations; * construct MATLAB programmes to apply various numerical methods to solve formulated mathematical models. Skills: Formulating model equations, application of numerical methods, confidence in computational programming, problem solving. Taught/facilitated and assessed. Content: * Numerical solution methods of ordinary and partial differential equations involving physical initial and boundary conditions, discussion of stability; * Linear and non-linear solutions by finite difference methods; * Application of the numerical techniques into MATLAB programmes; * Simulation / modelling examples: - Modelling of a non-isothermal plug flow reactor; - Complex reaction sequences in a batch reactor; - Heat conduction and convection through a rod; - Heterogeneous catalysis in slab, spherical or cylindrical geometry with non-linear kinetics in a tubular reactor e.g. a catalytic converter. |
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XX40175 is Compulsory on the following programmes:Department of Chemical Engineering
XX40175 is Optional on the following programmes:Department of Chemical Engineering
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