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Programme & Unit Catalogues

Owning Department/School: Department of Chemical Engineering
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Masters UG & PG (FHEQ level 7)
Period:
Semester 1
Assessment Summary: CW 70%, EX 30%
Assessment Detail:
• Mathematical Modelling 1 (CW 15%)
• Computing with MATLAB 1 (CW 20%)
• Mathematical Modelling 2 (CW 35%)
• Examination (EX 30%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites:
Description: 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.
Programme availability:

#### XX40175 is Compulsory on the following programmes:

Department of Chemical Engineering
• UECE-AFM01 : MEng(Hons) Biochemical Engineering (Year 3)
• UECE-AKM01 : MEng(Hons) Biochemical Engineering with Year long work placement (Year 3)
• UECE-AFM05 : MEng(Hons) Chemical Engineering (Year 3)
• UECE-AKM05 : MEng(Hons) Chemical Engineering with Year long work placement (Year 3)

#### XX40175 is Optional on the following programmes:

Department of Chemical Engineering
• UECE-AFB05 : BEng(Hons) Chemical Engineering (Year 3)
• UECE-AKB05 : BEng(Hons) Chemical Engineering with Year long work placement (Year 4)

 Notes: This unit catalogue is applicable for the 2018/19 academic year only. Students continuing their studies into 2019/20 and beyond should not assume that this unit will be available in future years in the format displayed here for 2018/19. Programmes and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Undergraduates: Find out more about these and other important University terms and conditions here. Postgraduates: Find out more about these and other important University terms and conditions here.