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This project is recommended to be done in groups of two students at maximum. Your partner can be from section G, H, or I.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

This project is recommended to be done in groups of two students at maximum. Your partner can be from section G, H, or I. These are sections given by Dr. Hammond.

o   All students must fill out this survey on UBlearns. This is where you will 

§  request a partner if you do not have one,

§  name a partner you want to work with, or

§  identify that you want to work alone.

o   If you request a partner, you will be randomly assigned another student. If you do not fill out the survey, it is assumed you will be working as an individual.

·        Your final project will be submitted as single zip file (*.zip) containing eight *.m files (five functions and three script files) and your final report as a *.pdf.

o   Script files should be named in the following format: PP_Partx_ubit1ubit2.m where x indicates the part letter and ubit1 and ubit2 indicate the ubitnames of each partner.

o   Function files should be named according to the name of the function specified in the HW document.

o   A template for your final report is posted on UBlearns. You must read the template first to determine what your final report should contain.

·        You must write your own code and follow all instructions to get full credit. You are not allowed to use codes or scripts found on the internet or any other references.

·        You must use good programming practices, including indentation, commenting your functions scripts and choosing meaningful variable names to make your programs self-documenting.

·        It is your responsibility to make sure that your functions/scripts work properly and are free of errors by utilizing the resources at your disposal.

·        You must upload your zip file and only your zip file to UBlearns by the end of the day (11:59PM) on Friday, April 18th. No late submissions will be accepted. Only one submission per group is required.

Numerical Analysis of Annular Radial Fins of Uniform Thickness1,2

Figure 1: Annular radial fin of uniform thickness.

Background:

Figure 1 shows an annular radial fin used to increase the surface area of a circular tube for the purpose of increasing the rate of heat transfer to/from the surface. The rate of heat transfer, π‘„Μ‡π‘π‘œπ‘›π‘£, from a surface at temperature 𝑇𝑠 to the surrounding environment at a temperature 𝑇∞ is determined from Newton’s law of cooling3 seen in equation 1 where 𝐴𝑠 is the surface area and β„Ž is the convective heat transfer coefficient. 

π‘„Μ‡π‘π‘œπ‘›π‘£ = β„Žπ΄π‘ (𝑇𝑠 − 𝑇∞)

(equation 1)

The surface temperature along the fin length, 𝑇𝑠 in the previous equation, is not constant, but varies along the fin from its base to its tip. Engineers are usually interested in determining the temperature distribution (how the temperature changes) along the fin and the rate of heat transfer through the fin, 𝑄̇𝑓𝑖𝑛. To achieve this goal, engineers can use numerical methods and/or analytical methods.

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