A wall panel for a freezer is made of two sheets of stainless steel with insulation between. The objective of the project is to make an estimation of the heat gain per unit area and temperature of the outer surface of the refrigerator wall over a range of insulation thicknesses. The report will include calculations and comments on wall designs that will not experience condensation on the outer wall. The thickness of the stainless steel sheets is 2.0 mm and thermal conductivity of the sheets is 15 W/mK. The insulation thickness will vary from 0.5 cm up to 2.5 cm. The insulation has a thermal conductivity of 0.06 W/mK. The temperature inside the freezer is -10C and the ambient temperature of the room is 22C and relative humidity of the room is 75%. The combined convective heat transfer coefficient and radiative heat transfer coefficient on the freezer side and the room side are both 10 W/mK. The analysis is for a steady-state situation. You are requested to prepare a design report with the following sections. 1. Problem Statement - In narrative form, outline the problem and give all important variables and the variables that you are asked to solve for. A figure (remember to use a caption for the figure) should be included and at a minimum drawn with a straight edge but using a drawing tool is even better. 2. Methodology - The simplifications that are made in the problem and the equations to generate a solution should be presented. A list of equations is not sufficient; describe the solution method in narrative form. Use the rules for inserting equations that you follow in lab reports (equations are centered, equation numbers are right justified, and variables are defined the first time they are used). Here is an example. The thermal resistances are all in series and can be summed as shown ERRconvo+ Rcond,wall + Room (1) where Rth is the sum of thermal resistances, Rconv,o is the thermal resistance due to convection on the outer wall, Rond,wal is thermal resistance due to conduction through the wall, and Room is thermal resistance due to convection on the inner wall. 3. Results - This section should include the results that are requested as a minimum but may also include results you find interesting. Think about ways to present the results to make it easy to see trends (maybe a graph or table). 4. Discussion of Results - Restate the important results or conclusions from the project and comment on further analysis that might improve the analysis and/or other aspects to consider (cost, safety, other design parameters to vary). 5. Appendix - Include one neat hand calculation for the situation with the thickness of insulation of 1.0 cm. Special Problem #1 is worth 2.5% of the 5% allotted in the Other category of the grading scheme. 1% will be associated with a correct solution and 1.5% with a report that i) follows the outline and formatting guidelines, ii) is well-written, iii) shows a clear methodology, and iv) has insightful discussion. Late projects will be assigned a penalty, and after two weeks, a late project will not be accepted for credit. I estimate the report will be on the order of 4-6 pages, if you use a typical font size and margins.