University : University of South Australia UniLearnO is not sponsored or endorsed by this college or university.
Subject Code : MENG4004
Assignment Task :

Task 2.1: Multi-Dimensional Heat Transfer 

This is a group project, and is worth 16% of your total course assessment. In this project, you will need to produce a professional standard, typed report, answering all questions outlined here. You will need to work in the same group assigned to you in Week 1, and you only need to submit one report per group. Please submit your assigment online, clearly labelling your group number and the names of all group members. You must type your solutions. The report is due on 27th September 2020. If you submit your assignment late, you will be deducted 20% of the total marks per day that you are late. 

 

Objective 

To determine the heat transfer rates across typical ceiling constructions of Australian homes insulated with bulk insulation batts. The assignment investigates the effect of the wooden roof components (ceiling joists) on overall heat transfer rate. This is achieved by using a two-dimensionanl finite difference numerical technique and comparing the results with one- dimensional heat flow

 

3 Procedure 

Develop a 2-dimensional nodal mathematical model (see Section 4.4 of Bergman or 3.5 of Holman) of the temperatures in the structure using a finite difference technique and solve the finite difference equations using either Matlab (recommended) or Excel (not recommended). Once you have done this, you are to determine the total heat flow across the ceiling boundary, g. You are to carry out the analysis for both summer and winter conditions for the following cases: 

a) No thermal insulation; 

b) Using R2 insulation batts of thickness 110mm; 

c) Using R3 insulation batts of thickness 165mm; 

d) Using R4 insulation batts of thickness 220mm. 

 

4 Report Content 

Your report must be of professional standard, with high quality figures, legible fonts, and checked for grammatical errors. In addition to the standard sections a client would expect from a report (e.g. Introduction, Conclusions, etc.), you must also include in your report: 

a) A brief description of your computational procedure, both for the 1D and 2D models. You may choose to separate the 1D and 2D models to separate sections if you prefer; 

b) The equations used, particularly for the finite difference scheme. It is recommended that you summarise your main equations in the main body of the report, and including working in the Appendix, where necessary. You may also use Tables to summarise your key equation; 

c) The total heat transfer rate through the entire roof for all conditions (4 insulation values, for both winter and summer conditions), for both the 1D and 2D models; 

d) Graphs of the temperature distribution through the plane corresponding to the centre of the joist, and the centre of the gypsum board, as a function of height, beginning from the inside space and ending in the roof space; 

e) Graphs summarising the effect of the R-values on the total heat transfer rate. Combine all cases to a single graph, if possible; 

f) Contour plots of temperature distribution for the entire analysed space for all cases.  Include these in the Appendix; 

 

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  • Uploaded By : Grace
  • Posted on : September 25th, 2018

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