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# assn3 - MIT OpenCourseWare http/ocw.mit.edu 1.020 Ecology...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 1 .020 Ecology II: Engineering for Sustainability Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering 1.020 Ecology II: Engineering for Sustainability Problem Set 3 – Thermal analysis for a small house Due: 5PM Friday March 21, 2008 A. Introduction In this problem set you will be evaluating the energy performance of a house using a MATLAB model you construct. Your model will include heat gains and losses from heat conduction, convection, and radiation as well as heat gains from a thermostatically controlled furnace. You will be examining the effect of changing windows, and other structural components. B. House Description The house consists of a single room and an attic with a roof. It is located in Harvard, MA. 1. House dimensions : 8m by 8m in plan, walls 4m high (see diagram) 2. Window dimensions: 3 windows each 2m by 1m 3. Door dimensions: 2.5m by 1m 4. Roof: Surface area 80m 2 , maximum height above room ceiling 3m. 8m 8m Room T h ( t ) Elevation Plan 4m Total roof area 80m 2 Roof T r ( t ) Room T h ( t ) Ground T e Air T a ( t ) 3m 5. Furnace: Supplies heat to the main room (but not the attic), generates 26 kW of heat when switched on. 6. Thermostat: Set to 18 °C (switches furnace on when interior temperature is below 18 °C, otherwise switches furnace off). 1 7. Meterological data for Harvard MA: Data are given for every 6 hours during a typical year (1999) in the data file harvardmet.txt found in the PS3 section of the 1.020 Stellar site. The file contains four columns: Column 1: Time in days Column 2: Global (total incident shortwave) solar radiation in Wm-2 Column 3: Outside air temperature in °C Column 4: Sky temperature for computing incoming longwave radiation in °C Column 5: Ground temperature below floor in °C...
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assn3 - MIT OpenCourseWare http/ocw.mit.edu 1.020 Ecology...

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