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Major Assessment 1

C2N7-EEC - MSc Energy and Economics

B51GG

Before attempting this assessment, you should follow the Numerical Thermal Engineering Workshop recorded instruction videos and accompanying documentation on CANVAS to solve a heat conduction problem with the provided boundary conditions on the specified geometry. The present conduction assessment is worth 30% and requires the submission of a report and your calculations either in the form of a spreadsheet or MATLAB code.

The assessment will be done individually. The report will include a statement of authorship form.  The assignment requires the calculation of the temperature field on a given domain.  The task requires the selection of a suitable finite difference scheme to discretise the conduction equations. It is expected that the mesh size to be varied and the variation in the residuals (measure of errors) with the mesh size to be analysed. The grid sizing (dx) of your domain will be assigned individually. It is recommended each student to consider more square-grid sizes than what is assigned to you in their analysis.

The information on your submissions is listed below. The work should not be left to the last minute. The submissions will be via Canvas Turnitin.

Final Report and Spreadsheet (30%): 

The report should include:

§ Derivation of the boundary condition relations

§ Demonstration of detailed solutions and presentation of results

§ Demonstration of the convergence of your results

§ Demonstration of mesh independence of results.

The spreadsheet should be:

§ well structured

§ formatted appropriately

§ readable

It should be easy for a person other than the spreadsheet generator to understand.  The same goes for anyone that decides to go down the MATLAB route.

Please only use your HW ID as the file name and submit in .pdf format ONLY. For example, H0012345.pdf.

Note 1: This assessment will be made available the beginning of Week 3. Students can start working on their assessment and seek advice by contacting your local course leader.  The deadline for this assessment is end of Week 7.

Note 2: The suggested sections for your report are: Abstract (max 200 words), Introduction (very short), Methodology, Results and Discussions, Conclusion, References.

List and allocation of your assessment and domain variables

All variables and parameters to be used in this assessment are listed in this section. Some of the are randomly allocated to you. You can find the details of your domain and boundary conditions below.

The boundary conditions for surfaces B1 to B8 vary from student to student. The boundary allocations are:

The thermal conductivity is 16 W/mK.

Table 1 List of different boundary condition codes

Table 2 Your allocation of boundary conditions codes

Table 3 Example of list of all required parameters and variables

Figure 1 Dimensions of domain.