Week 04 Building Fabric Losses 100215

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    A4112Environmental Systems/MEP

    Columbia University

    School of Architecture, Planning and Preservation

    Week 4: Building Heat Loss

    Overview

    Loss and Gain Balance

    Conduction

    Material Properties

    Moisture Transfer

    Thermal Mass

    Infiltration

    Total Heat Loss

    Week 4: Building Heat Loss

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    Thermal Balance

    Thermal balance occurs when thesum of all heat gains and losses iszero.

    Qc + Qv + Qr + Qi + Qe = 0

    Qc = Conductive Loss

    Qv = Ventilation Heat LossQr = Radiant Loss

    Week 4: Building Heat Loss

    =

    Qe = Evaporative Loss

    Thermal balance is REQUIRED fora stable indoor condition

    Building Envelope

    The building envelope serves as an

    environmental mediator and affects the.

    It needs to balance often contradictinggoals to optimize the overall

    performance of the faade.

    Examples of such contradictions are:

    Solar Heat Gain vs. Daylighting

    Solar Heat Gain vs. Thermal

    Week 4: Building Heat Loss

    Storage

    Thermal Storage vs. Daylighting

    Natural Ventilation vs. Convection

    Heat Gain/ Natural Lighting vs.Conduction

    Floor Losses

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    Building Envelope

    TWO COMPONENTS

    Thermal ResistanceRoof

    Window

    Losses

    Infiltration /

    Ventilation

    Losses

    The rate of heat loss

    from a room = the

    sum of the heat

    losses through the

    Week 4: Building Heat Loss

    Wall Losses

    Floor Losses

    individual

    components.

    Envelope Heat Transfer

    When heat passes out of a building through a structure, all three modes of

    heat transfer are used and a composite heat transfer calculation can be.

    CONDUCTION

    RADIATION

    Week 4: Building Heat Loss

    CONVECTION

    inside outside

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    Conduction

    Heat transferred directly through a material (e.g. wood,concrete)

    Function of conductivity (k), thickness (L), area (A), temperature

    difference (T)

    TR

    ATUATA

    L

    kQ

    Week 4: Building Heat Loss

    ,

    Conductance: (aka the U-value): specific material quality (of

    specific makeup or thickness)

    Resistance: (aka the R-value): reciprocal of the conductance(i.e. R=1/U)

    Conductivity (k)

    material specific value anddepends partly on the densityo e ma er a s ee as a

    high conductivity whilst woodhas a low conductivity and

    gases even less.

    The lower the k value, thebetter its insulating effect.

    Week 4: Building Heat Loss

    Note: 1in. Polystyrene hasthe same conductance as

    5in. glass

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    The U-value

    The U-value of a construction is a composite calculation whichadds the effect of heat transfer through each surface and makes

    an a owance or e con uc ve an convec ve ea rans er nthe form of surface factors and resistances.

    The overall thermal conductance/transmittance is described as:

    overallU

    11

    Week 4: Building Heat Loss

    n

    n

    ...321

    Unventilated Cavity

    Resistance (Rc) = 1.02 h-ft2-F/Btu

    (>3/4 wide and unventilated)

    Heat transfer through a wall

    inside outside

    Resistance of a layer of giventhickness [in] =

    ThicknessThickness

    kk

    Week 4: Building Heat Loss

    External Surface Resistance(Rso) = 0.34 h-ft2-F/Btu

    (Sheltered Location =0.45

    Severe Location =0.17)Internal Surface Resistance

    (Rsi) = 0.69 h-ft2-F/Btu

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    U-Value Calculation

    Property or Materia l Thickness Conductivity Resistance(in) (btu-in/h-ft-F) (h-ft-F/btu)

    External Surface resistance 0.34

    Brick outer skin 6 5 1.20

    Unventilated Cavity 1.02

    Insulation 2 0.2 10.00

    Gyp. Board 0.375 1.2 0.31

    Internal Surface resistance 0.69

    Week 4: Building Heat Loss

    Total Resistance 13.56

    U-Value (btu/h-ft--F) 0.07

    U-Value Calculation

    The effect of added insulation

    Property or Material Thickness Conductivity Resistance(in) (btu-in/h-ft-F) (h-ft-F/btu)

    External Surface resistance 0.34

    Brick outer skin 6 5 1.20

    Unventilated Cavity 1.02

    Insulation 6 0.2 30.00

    Gyp. Board 0.375 1.2 0.31

    Week 4: Building Heat Loss

    Internal Surface resistance 0.69

    Total Resistance 33.56

    U-Value (btu/h-ft-F) 0.03

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    U-Value Calculation

    Note that you cannot add together U Values of differentelements juxtaposed you must add the Resistancestogether and take the inverse. ie

    U + U = 0.07 + 0.07 =

    0.14 Btu/h-ft-F

    Property or Materia l Thickness Conductiv ity Resistance

    (in) (btu-in/h-ft-F) (h-ft-F/btu)

    External Surface resistance 0.34

    Brick outer skin 6 5 1.20

    Unventilated Cavity 1.02

    Insulation 2 0.2 10.00

    Brick inner skin 0.375 1.2 0.31

    Brick outer skin 6 5 1.20

    Unventilated Cavity 1.02

    Week 4: Building Heat Loss

    Insulation 2 0.2 10.00

    Brick inner skin 0.375 1.2 0.31

    Internal Surface resistance 0.69

    Total Resistance 26.10

    U-Value (btu/h-ft-F) 0.04

    U-Value Calculation

    FOR A CAVITY TO BE EFFECTIVE AS AN

    INSULATOR, IT IS IMPORTANT THATCONVECTION CURRENTS WITHIN THE

    VOID ARE AVOIDED. NORMALLY THIS

    REQUIRES THE CAVITY TO BE BETWEEN

    and 3 WIDE

    Week 4: Building Heat Loss

    X

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    Temperature Gradient

    The ratio of temperature changes inside astructure is proportional to the ratio of the thermal

    res s ances.

    INSIDETEMPERATURE

    70F 50%RHOUTSIDETEMPERATURE

    T = R

    Tt RtR

    T

    Week 4: Building Heat Loss

    14F, 75% RH

    Tt

    ToTi Rt

    Temperature Gradient

    RQTTQA

    TTR

    AQ

    oi

    T

    T)(

    For steady state conditions,the heat flow that passes

    through each material is thesame as through the

    assembly.

    Ti=70oF, 50%RH

    T

    T4T5

    A

    RQTT

    A

    RQTT

    A

    RQTT

    A

    RQTT

    A

    RQTT

    ARAR

    T

    i

    TTTT

    o

    o

    oT

    65

    545

    434

    323

    212

    1

    1

    1

    1

    ,,,,

    Week 4: Building Heat Loss

    To=14oF, 75%RH

    T12

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    Temperature Gradient

    Temperature Gradient Calculation

    Assembly U-Value (btu/h-ft-F) 0.07

    knowing: Qdot=U*A*T

    Qdot/area 4.13

    Property or Materia l Thickness Conductiv ity Res is tance Temperature( in) (btu- in/h-ft-F) (h-ft -F/btu) (F)

    To 14.0

    T1 (ext. surf) 0.69 16.8

    T2 (brick) 6 5 1.20 21.8

    T3 (air) 1.02 26.0

    T4 (insulation) 2 0.2 10.00 67.3

    Week 4: Building Heat Loss

    T5 (gyp. board) 0.375 1.2 0.31 68.6

    Ti 0.34 70.0

    Total Resistance 13.56

    U-Value (btu/h-ft-F) 0.07

    Air at 70oF and 50% RH has a dew point temperature of 50oF

    Week 4: Building Heat Loss

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    Moisture Movement in Structures

    INSIDE OUTSIDE

    Warm, moist

    air

    @

    High Vapor

    Pressure

    Cool air,

    possibly

    saturated but

    @

    Low Vapor

    Pressure

    Week 4: Building Heat Loss

    n ers a

    Condensation in

    Structure

    Dewpoint

    Location of Vapor Barriers

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    Cold Bridges

    Week 4: Building Heat Loss

    Cold Bridges*>12.4C

    10.0

    12.0

    *>14.7C

    10.0

    12.0

    14.0

    *

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    Cold Bridges

    Week 4: Building Heat Loss

    Cold Bridges

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    Detailing to avoidCold Bridges

    In every envelope detail theoal is to be able to draw a

    continuous non-crossing linesfor:

    Thermal separation

    Vapor separation

    Rule of thumb:

    Week 4: Building Heat Loss

    The vapor barrier is always

    located on the warm side of theinsulation.

    Ground Heat Losses

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    Insulation against Ground Heat Losses

    Week 4: Building Heat Loss

    Transparent Elements Single Glazing

    GLASS IS A POOR INSULATOR.

    FOR A SINGLE GLAZING THEMAIN RESISTANCE ISDETERMINED BY THE HEATTRANSFER COEFFICIENTSINSIDE AND OUTSIDE

    Ri = 0.69 h-ft2-F/btu

    Rglas = 0.05 h-ft2-F/btu

    Ro = 0.34 h-ft2-F/btu

    Week 4: Building Heat Loss

    Glazing U-Value =0.9 1.0 Btu/h-ft2-F

    Inside Outside

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    Transparent Elements Double Glazing

    There are a number ofways to improve theerformance and

    decrease the heat lossthrough the glazing

    One way is to use double-glazing, with an air space

    between the panes.

    Rcav = 1.02 h-ft2-F/btu

    50%

    Week 4: Building Heat Loss

    Glazing U-Value =0.49-0.52 btu/h-ft2-F

    50%

    Inside Outside

    Transparent Elements LowE Glazing

    Adding a low-e coating

    to the inner surface ofthe outer an reduces

    the radiation transferbetween the two glass

    surfaces and reducesthe heat loss.

    Week 4: Building Heat Loss

    Glazing U-Value = 0.29-0.35 btu/h-ft2-F

    Inside Outside

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    Transparent Elements LowE Glazing

    Replacing the cavity airwith an inert as such as

    Argon, Krypton or Xenonfurther reduces the heat

    loss by reducing theconvection and conduction

    through the cavity

    Week 4: Building Heat Loss

    Glazing U-Value = 0.22-0.32 btu/h-ft2-F

    Inside Outside

    Thermal Mass: time lag, decrement factor

    The time lag of a construction relates to the delay of the peak amplituderea ve o e me a e pea s experence .

    The decrement factoris the reduction in peak amplitude that the materialachieves.

    Week 4: Building Heat Loss

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    Thermal Mass

    outside

    Week 4: Building Heat Loss

    Thermal Mass

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    Construction Comparison

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    Construction Comparison

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    Thermal Mass

    Week 4: Building Heat Loss

    Overview

    INFILTRATION

    Infiltration = uncontrolled by cracks or openings

    Ventilation = controlled for fresh air demand

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    Heat Loss due to Infiltration

    The infiltration of air constitutes a significant proportion of the heat loss from abuilding.

    The heat lossdue to the infil tration throu h windows and a s in the buildin structure is

    Infiltration / Ventilation

    Week 4: Building Heat Loss

    calculated from the equation:

    V ... Volume of air flowing in/out (ft/h) cp .. Density (lbs/ft

    3)* specific heat (btu/lbs*F)

    T .. Inside/outside temperature difference (F)

    At 70F:

    Density of air= 0.075lbs/ft3

    Specific Heat =0.24btu/lbs*F

    TcVQ p .

    Air Change Rate (ACH)

    Infiltration / Ventilation

    Definition: air change rate = volume flow rate / room volume [ac/h or 1/h]

    (number of air volumes exchanged per hour)

    typical values:

    air ti ht buildin : 0.1 - 0.2 ac/h

    Week 4: Building Heat Loss

    TVh

    acQ

    room 018.0

    low leakage 0.5 - 1.0 ac/hbasic ventilation 1.0 - 2.0 ac/hopen sloped window 3.0 - 5.0 ac/h

    With normal properties for air applied this heat loss can be approximated as:

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    Detailing

    So how to stop Infiltration?

    Detailing!

    Sealing gaps aroundwindow and door frames

    Closing junctions andsealing vapor control

    membranes

    Using bars rather than just

    sealants.

    Week 4: Building Heat Loss

    4. Infiltration: Air Change Rate (ACH)Unwanted infiltration represents an increasing proportionof heat losses from buildings as the insulation levelsincrease. Test for infiltration with door blower test.

    Week 4: Building Heat Loss

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    Steady State Heat Loss

    The sizing of heating equipment is based on the calculation of total heatloss due to conduction and infiltration. This calculation assumes a steady

    . .temperature that represents a worst case (usually coldest winter day,during the occupied hours).

    The calculated heat loss (Btu/h) for this condition can be used to determine

    the maximum amount of heating that needs to be supplied to a space inorder to achieve thermal balance.

    Week 4: Building Heat Loss

    This calculation summarizes all conductive heat losses through the

    enclosing construction elements (based on their size, temperature

    difference and thermal resistance) and infiltration losses (based on theinfiltration rate and the room volume).

    Conductive Heat Loss

    Having identified the U-Value ofeach of facade elements, the

    TUAQ

    rate of Heat Flow through thegiven surface area of the

    element is calculated by theequation:

    Q

    U

    .

    Week 4: Building Heat Loss

    T = Tin-Tout

    Inside Outside

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    Calculation Alternative Windows

    Improving the windows in this class room to double pane windows reduces the steady state heatloss by 22%.

    3 o ume

    8,750

    Surface Area U-Value Temp Difference U*A*T(ft

    2) (Btu/h-ft

    2-0F) (

    oF)

    Wall adjacent to exterior 780 0.079 56 3,451

    Wall adjacent to interior 315 0.24 10 756

    Window adjacent to exterior 210 0.42 56 4,939

    Floor 700 0.084 20 1,176

    Roof 721 0.044 56 1,777

    Total Fabric Loss 12,098

    Week 4: Building Heat Loss

    Infiltration Rate 1.0 AC/hr 58 9,135

    Total Heat Loss (btu/h) 21,233

    The end

    Next week: building fabric gains

    Week 4: Building Heat Loss