thermal insulation computation

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    Thermal Insulation Computation

    The thermal design of the building envelope elements and of the ones which isolate places with

    different temperatures are done according to C107/ 1-1997.

    necef RR min,

    efR - total resistance at the heat exchange

    necRmin, - the minimum resistance at the heat exchange

    n

    j

    e

    j

    j

    ief Rd

    RR1

    ;e

    e

    i

    i RR

    1;

    1

    Where:

    iR -specific resistance at heat exchange through interior wall surface ]/[ 2

    Wkm

    eR -specific resistance at heat exchange through exterior wall surface ]/[ 2

    Wkm

    nnumber of layers

    jd - thickness of j layer

    j - thermal conductivity of j layer

    8i - coefficient of interior superficial thermo transfer

    24e

    - coefficient of exterior superficial thermo transfer

    ]/[125.08

    11 2wkmR

    i

    i

    ]/[042.024

    11 2 wkmRe

    e

    Exterior walls

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    According to C107/2005, in case of the external walls we have the following:

    Rsi=0.125[m2K/W];

    Rse=0.042[m2K/W];

    Rmin=1.80[m2K/W]; (from 10.06.2011)

    No. Crit. Material d (m) (W/mk) d/

    1 Exterior plaster 0.015 0.93 0.0161

    2Thermal insulation with

    expanded polystyrene0,1 0.035 2.86

    3 B.C.A. Masonry 0.25 0.21 1.19

    4 Interior plaster 0.015 0.81 0.0185

    ]/[25.4042.00185.019.186.20161.0125.0 2 wkmRef

    Lower slab:

    According to C107/2005, for slab over basement we have:

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    Rsi=0.125[m2K/W];

    Rse=0.042[m2K/W];

    Rmin=2.9[m2K/W]; (from 10.06.2011)

    Nr.crt Name of the material layer d(m) (W/mK) d/

    1 Ceiling plaster 0.015 0.87 0.017

    2 Thermal insulation 0.20 0.044 4.545

    3 RC Plate 0.15 1.74 0.086

    4 Equalizing cement 0.03 0.93 0.032

    5 Sand stone 0.01 1.2 0.083

    )/(93.4042.0)083.0032.0086.0545.4017.0(125.0 21

    WKmRdRRn

    j

    e

    j

    jief

    Roof floor

    According to C107/2005, for slab over basement we have:

    Rsi=0.125[m2K/W];

    Rse=0.042[m2K/W];

    Rmin=5[m2K/W]; (from 10.06.2011)

    Nr.crt Name of the

    layer

    d(mm) (W/mK) d/

    1 Ceiling plaster 0.015 0.87 0.017

    2 RC plate 0.15 1.74 0.086

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    3 Equalizing

    cement

    0.03 0.93 0.032

    4 Vapour barrier - - -

    5 Protection layer - - -

    6 Support layer 0.03 0.93 0.032

    7 Diffusion layer - - -

    8 Protection layer - - -

    9 Thermal

    insulation

    0.2 0.048 4.5

    10 Protection

    screed

    0.03 0.91 0.032

    11 Waterproofing - - -

    12 Gravel - - -

    n

    j

    e

    j

    j

    ief WKmRd

    RR1

    2 )/(326.5167.0)32.05.4032.0032.0086.0017.0(125.0

    The calculus for the global coefi cient of thermal insulation

    km

    wrefGG

    311

    1G - the coeficient for thermal insulation for a buildingor a part of a building, representing the

    timetables heat looses by transmision via enclosure elements, for a difference of temperature equal to0

    1 C

    between the interior and the exterior.

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    m

    jj

    R

    A

    VG

    11

    V- the wormed volume of the building or of the building part calculated based on the exterior

    dimensions of the building ][

    3

    m .

    jA -the elemnts area ofbuilding j, by wich the change of heat is done ][ 2m .

    j -the corection factor for the diference of temperature between the isolated

    enviroments of the construction element.

    V- the wormed volume of the building or of the building part calculated based on the exterior

    dimensions of the building ][ 3m .

    jA -the elemnts area of building j, by wich the change of heat is done ][ 2m .

    j -the corection factor for the diference of temperature between the isolated

    enviroments of the construction element.

    Windows + interior doors:

    ][07.1434]1.22.12.1

    )9.25875.2875.125.46.19.2[(1.29.02.1)9.200.59.045.21.44.59.2(

    2

    4

    m

    A

    Exterior walls:

    A1=441m2

    A2=228m2

    A3=441m2

    A4=228m2

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    Area of the superior plate: 446.88 ][ 2m

    Area of the inferior plate: 446.88 ][ 2m

    ][1332 3mVtotal

    Calculation of the heat bridges lengths:

    Heat bridges are non homogeneous areas of the building elements with a greater heat transfer.

    Usually they are found at the intersection of building elements and in the area of resistance

    elements.

    a. Vertical bridgescorner

    b. Vertical bridgesintersection of column with wall

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    c. Vertical bridgeswindow

    d. Horizontal bridgesintersection of wall with plate

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    e. Horizontal bridgesintersection of wall with plate over ground-floor

    f. Horizontal bridgesintersection of wall with plate with balcony

    2.02

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    Calculation of construction elements area, volume and perimeter:

    - the area, perimeter and volume is calculated on the interior faces of the walls

    P = 88.8 [m]

    Pthe building perimeter

    ][23.41 2mAw

    wA - Window area / floor

    ][129023.4115*8.88 2mAhPA wop - area of the exterior wall

    ][8.446 2

    mS

    SThesurface of floor

    ][8.222513328.4468.446 2mAbe - building envelope area

    ][670215*8.446 3

    mV -heated volume of the building

    5.0)200511072(331.06702

    8.22252

    NGCofannexfrom

    km

    w

    V

    A

    NG allowed global coefficient of building thermal insulation

    21.01

    20.01

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    '

    1'

    UR

    R corrected specific thermal resistance

    U coefficient of thermal transfer

    ]/[)(1

    ' 2 WkmA

    L

    RU

    linear coefficient of thermal transfer

    Llength of thermal bridge

    Aarea of building element

    Rthermal resistance

    For exterior wall: ]/[40.01290

    )158.8815.018012.0602.0(

    25.4

    1' 2 WkmU

    For window: ]/[24.323.41

    5.16531.0

    5.0

    1' 2 WkmU

    For roof plate:]/[491.08.446

    8.885.0

    55.2

    1

    '

    2

    WkmU

    For ground-floor plate: ]/[355.08.446

    8.8843.0

    7.3

    1' 2 WkmU

    ]/[34.0)'

    (1 3kmWn

    R

    A

    VG

    Gglobal coefficient of building thermal insulation

    correction factor of exterior temperatures

    n=0.6naturalventilation speed

    ]/[384.06.034.0)181.2

    8.4461

    03.2

    8.4468.0

    308.0

    5.1651

    22.3

    1290(

    6702

    1 31 kmWG

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    SWEAT CALULUS

    Sweat calculus - for external wallhas been carried out using the program Isover.

    Data input:

    We input each layer, their thickness, and thermal conductivity:

    NGG 1

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    a.Computing the possibility of condensation:

    We input:

    Internal temperature: 200 C

    External termperature: -18

    0

    C Relative humidity of indoor air: 65%

    Relative humidity of outdoor air: 85%

    Length of heating season: 210 days;

    Data sheet of thermal trasmittance:

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    Data sheet of vapour diffusion is shown in the following chart:

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    So, no interstitial condensation is expected.