1 ME XXXXXXXXXXSustainable Energy Systems Assignment #3 Due Date: March 2, 2021, 9:00 a.m Submit to the corresponding assignment folder in Brightspace • The assignment is to be completed individually...

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1 ME 8407 - Sustainable Energy Systems Assignment #3 Due Date: March 2, 2021, 9:00 a.m Submit to the corresponding assignment folder in Brightspace • The assignment is to be completed individually • Avoid plagiarism (https://www.mun.ca/writingcentre/plagiarism/) • Uphold academic integrity (https://www.mun.ca/engineering/undergrad/academicintegrity.php) Purpose The aim of this assignment is to investigate solar thermal energy for domestic water heating, as well as thermal energy storage with phase change material (PCM). Requirements Answer the questions below and submit a document that has the figures, assumptions, and answers to the questions below. Make any assumptions needed to simplify the analysis to ensure a solution can be achieved without unneeded complexity. Submit the source code (Excel, MatLab, EES, etc.) that was used for the analysis. Assumptions  Neglect sensible energy of phase change material  Neglect spatial variations in temperature  Efficiency of system (collecting solar irradiation to heating the domestic hot water) is 60% o i.e., 6.0 ,    sc wpw sc u IA Tcm IA q    An initial temperature of 50°C in the water tank, at midnight, on day 1  The water tank and piping are perfectly insulated  The house uses 200 L of hot water per day (a high estimate) o Hot water is replenished with water at 7°C  The water usage is evenly distributed throughout each 24 hour period  Quantity of PCM is not a limiting factor 2 Figure 1: Schematic of a solar thermal system for domestic hot water Table 1: Average hourly solar intensity (irradiation is zero all other times) Time Irradiation (W/m2) 05:00 0 06:00 207 07:00 400 08:00 566 09:00 693 10:00 773 11:00 800 12:00 773 13:00 693 14:00 566 15:00 400 16:00 207 17:00 0 Question 1 (a) Starting at midnight on day 1, plot solar irradiation versus time for three full days (i.e., 72 hours). (b) On the same figure as Question 1a, plot the water temperature in a domestic water heater that is heated solely by solar energy (use a secondary vertical axis on the figure). Ensure the area of the solar collector is an appropriate size to maintain the same maximum water temperature each day. What is the size of the collector? Question 2 (a) In this question, assume that the water tank has PCM integrated into its design. On the same figure as Question 1, plot the water temperature when a PCM is integrated into the design. Assume that the melting temperature of PCM is 1/4 below the peak temperature, in relation to the lowest temperature (i.e., 3/4 above the lowest temperature) for the system without PCM. (b) Estimate the required mass of PCM. η = 0.6 3 Question 3 (a) Discuss the assumption used for this simplified analysis. What assumptions have the largest impact on the analysis compared to a real system? How accurate is this analysis? (b) Is it an effective design to add PCM to a solar thermal system for domestic hot water? Why? Question 4 Modify your solution to Questions 1 and 2 to be more accurate in terms of water consumption and heat loss (assumptions will be needed). The water consumption is not evenly distributed throughout the day, however, assumptions are needed to determine a solution. Clearly state your assumptions.
Feb 23, 2021
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