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Heat Transfer and the Building Envelope ARCH 331/431 Spring 2008 Lecture 6 announcements 4/17/08 A3: Envelope Heat Transfer Assignment: Available later today (course website) References: Available by this weekend (course website) Due: week 5 Quiz 2: Tuesday 4/22 ARCH 3/431 Spring 2008 1

Assigned Readings by Section (not page) 9th Edition Chapter 4 Thermal Properties of Building and Insulations Materials (beginning on page 147) 10th Edition Appendix E Thermal Properties of Materials and Assemblies (beginning on page 1547) Architectural Sailing (a hypothetical example) Conventional Mechanical System MECHANICIAL HEATING MECHANICAL VENTILATION AND COOLING INSIDE TEMPERATURE 45 55 65 75 85 95 Mixed-Mode Mechanical System Indoor comfort zone temperatures OUTSIDE 68 80 CLOSED HEATING OPEN CLOSED COOLING OUTSIDE TEMPERATURE 45 55 65 77 85 95 Closed Heating Mode Strategies Closed Cooling Mode Strategies MECHANICAL ARCHITECTURAL ARCHITECTURAL MECHANICAL Active Solar Thermal Mass: Heat Thermal Mass: Coolth Ceiling Fans Furnace/Boiler Direct Gain: Sun Evaporation: Water Chillers ARCH 3/431 Spring 2008 2

Seattle 2-hour temperatures JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC 12 midnight 37 40 42 45 50 56 60 60 56 49 42 38 2 37 39 40 43 49 54 58 58 54 48 42 37 4 36 38 39 42 47 53 56 57 53 47 41 36 6 35 37 39 41 46 52 55 56 52 46 40 36 8 36 39 40 43 48 54 57 58 54 47 41 37 8am to 6pm 10 41 44 47 51 57 62 67 67 62 54 46 41 12 noon 44 48 51 55 61 67 72 72 67 58 49 44 2 45 50 53 57 64 70 75 75 69 60 51 45 CLOSED/Heating: 55% OPEN/ Sailing : 42% CLOSED/Cooling: 3% 4 44 48 52 56 62 68 74 74 68 59 50 44 6 42 46 48 52 59 64 69 69 64 55 47 42 8 40 43 45 48 54 60 64 64 60 52 45 40 10 38 41 43 46 52 57 61 62 57 50 43 39 Balance Point = 55 o F Change-over Temperature = 75 o F Balance Point Temperature Thermal Equilibrium between Inside and Outside Q losses = Q gains or Q out = Q in Envelope ( skin ) losses Infiltration ( lung ) losses Perimeter ( feet ) losses ARCH 3/431 Spring 2008 3

Balance Point Temperature Thermal Equilibrium between Inside and Outside Q in = Q out Q gains = Q losses Q gains = Q free + Q purchased = Q losses Q free = people + lights + equipment (and sun!) Q purchased = purchased heat (boiler, furnace, etc.) Q losses = UA x (T in - T outside ) = UA x T Balance Point Temperature: T balance point = T in - Q / UA Heat Transfer through the Building Envelope Q losses = Q gains envelope + infiltration + perimeter = people + lights + equipment Envelope ( skin ) losses Infiltration ( lung ) losses People Lights Equipment Perimeter ( feet ) losses ARCH 3/431 Spring 2008 4

Thermal Envelope Insulate before insolate Keep the heat in and the cold temperatures out in the winter. Keep hot temperatures out during the summer. In California: Title 24 Energy Code Elsewhere in the US: ASHRAE 90.1 Title 24 (California) Mandatory Measures: The mandatory measures represent a minimum level of efficiency. To achieve compliance with other parts of the standards, higher levels of efficiency may be required. Roof/Ceiling: R-19 Walls: R-13 Floors: R-13 ARCH 3/431 Spring 2008 5

Insulation BATT: fiberglass, mineral wool FOAM: air-krete, enduratite RIGID BOARD: polystyrene, polyurethane LOOSE FILL: cellulose, fiiberglass Insulation minimize conductive heat transfer or heat flow to the outside Resistance R-value Units: (hr sf F) / Btu Resistivity - ( r ) per unit thickness Conductance U-values (and C-values) Units: Btu / (hr sf F) Conductivity - ( k ) per unit thickness Conductance - ( C ) = 1/R ARCH 3/431 Spring 2008 6

Heat Transfer and the Building Envelope Predicting Building Heat Transfer Under Steady State Conditions: Q losses = heat loss due to: Step 1. Envelope ("skin") or UA envelope x T Step 2. Infiltration ("lungs") or "UA" infiltration x T Step 3. Perimeter ("feet") or "UA" perimeter x T Q losses = UA ref x T where UA ref = UA envelope + "UA" infiltration + "UA" perimeter Determining Whole Building UA (ref) ENVELOPE: walls, floor, roof, UA U x A windows, doors, etc. BTU/hr ft 2 o F x ft 2 INFILTRATION: air exchange via "UA" VHC air x Volume x ACH leaks, cracks and.018 BTU/ft 3 o F x ft 3 x no./hr ventilation PERIMETER: loss through the "UA" F x P ground via floor slabs, (BTU/hr ft o F) x (ft) footings and basements U A UA ref VHC The conductive heat loss coefficient for a series of materials (layers), such as heat transfer through the interior air film, gypsum board, insulation, exterior siding and exterior air film. Surface area of building element. The reference "UA" which is a sum of the three major routes of heat transfer. The Volumetric Heat Capacity of air, which is equivalent to the specific heat, or ability of air to store energy (like themal mass). F This is an empirically derived constant found by referring to Table 4.8, pg. 165. P ACH Is the linear measure of the entire perimeter of the building. The Air Changes per Hour usually estimated by assessing the relative tightness of the building, and using Table 4.23 pg. 188. ARCH 3/431 Spring 2008 7

Farnsworth House Plano, Illinois Mies Van der Rohe, 1946-1951 Chicago Design Conditions (Plano is ~50 miles WSW of Chicago) Winter Design Temp. (97.5%) -4 o F HDD65 o F 6013 Summer Design Temp. (2.5%) 89/74 ARCH 3/431 Spring 2008 8

ARCH 3/431 Spring 2008 9