### Heat Transfer Project

Pictured below is a traditional method of roasting a whole lamb.
A motor turns the lamb. Assume the lamb weighs 30 pounds and will be cooked to 165°F (74°C) in the center of the meat. The lamb can be modeled as a cylinder (Please consider: is there meat in the center of the lamb?) For the first 30 minutes the lamb will be 4 inches from the coals, then the lamb should be raised higher from the coals.

For the spit method you are to:
1) Develop an analytic model with equations which describes the cooking process (this may include conduction, convection and radiation).

2) List your assumptions and parameters— they must be reasonable.

• a. The height above the coals.
• b. The internal temperature of the lamb.
• c. The dimensions of the cylinder used as a model for the lamb.
• d. The RPM of the motor.

3) Solve the equations and determine the following: What is the surface temperature of the lamb if the center of the lamb’s meat is 165°F?

4) Write your results as an engineering report. (Introduction, assumptions, equations, analysis, results and conclusions). See below 5) You will be graded on the accuracy and completeness. There is no definitive “correct” answer—your thought process in solving the problem is very important.

Engineering Report:
Report Format and Content

Do not cut and paste equations from other sources. Do not scan and use jpegs or other image formats of the equations you use. (Part of the assignment is learning to write/type the equations and symbols correctly.) When needed please use the Greek symbols for properties or variables.

Problem Statement: Type out the problem you are solving.