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Modelling heat transfer
This unit is the fourth in the MSXR209 series of five units...
This unit is the fourth in the MSXR209 series of five units on mathematical modelling. In this unit you will be taken through the whole modelling process in detail, from creating a first simple model, through evaluating it, to the subsequent revision of the model by changing one of the assumptions. The problem that will be examined is one based on heat transfer. This unit assumes you have studied Modelling pollution in the Great Lakes (MSXR209_1), Analysing skid marks (MSXR209_2) and Developing modelling skills (MSXR209_3).
After studying this unit you should be able to:
- create simple models, given a clear statement of the problem;
- write down the simplifying assumptions that underpin a model;
- identify the key variables and the parameters of a model;
- apply the input–output principle to obtain a mathematical model, where appropiate;
- obtain mathematical relationships between variables, based on or linking back to the simplifying assumptions;
- interpret the mathematical solution to a modelling problem in terms of the original statement of the problem;
- understand the processes involved in evaluating a model, both qualitatively and quantitatively;
- appreciate the role of data in testing the model and, if necessary, in providing parameter values for the model;
- understand that the purpose of a model is the benchmark used to judge the suitablility of the model;
- appreciate that simple models can be as useful as more complex models, if they serve their intended purpose.
- Duration: 4 hours
- Published on: Monday 28th March 2011
- Level: Introductory
- Posted under: Mathematics Education
Contents
Modelling heat transfer
Introduction

In the OpenLearn unit on Developing modelling skills (MSXR209_3), the idea of revising a model was introduced. In this unit you will be taken through the whole modelling process in detail, from creating a first simple model, through evaluating it, to the subsequent revision of the model by changing one of the assumptions. The new aspect here is the emphasis on a revised model, which comes in Section 2. The problem that will be examined is one based on heat transfer.
This unit, the fourth in a series of five, builds on ideas developed and introduced in Modelling pollution in the Great Lakes (MXR209_1), Analysing skid marks (MSXR209_2) and Developing modelling skills (MSXR209_3).
This unit is an adapted extract from the Open University course Mathematical modelling (MSXR209) [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]
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- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements section.
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