Calculo de Instalacion de Calefaccion Bitubular

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    INSTALACIONES-2DEPARTAMENTO DE CONSTRUCCIONES ARQUITECTNICAS

    CURSO

    08-09

    Profesor: Dr. D. Julin Domene Garca

    4 C

    DISEO Y CLCULO DE LAINSTALACIN DE CALEFACCINBITUBULAR EN UNA VIVIENDA

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    EJEMPLO DE CLCULO

    2

    Se dispone de una vivienda unifamiliar de129 m de superficie til, ubicada en Bilbao.Cuyas caractersticas geometricas sepueden observar:

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    EJEMPLO DE CLCULO

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    Resumen de las prdidas totales en la vivienda:

    SUMATOTAL 10.115 W

    Local QSI Infiltraciones QT

    Saln 3.757 472 4.229

    Bao 239 22

    261

    Cocina 678 56

    734

    Dormitorio 1 735 127

    862

    Dormitorio 2 993 213

    1.206

    Dormitorio 3 604 53

    657

    Dormitorio 4 991 278 1.269

    Vestbulo 787 110

    897

    Prdidas totales= prdidas por transmisin + prdidas por infiltraciones:

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    Con estos valores, se tendr que hallar elmodelo de radiador idneo para suministrarsta potencia en las condiciones establecidas.

    Los radiadores se montan en la viviendacompletamente exentos, debajo de lasventanas, con lo cual el rendimiento de los

    mismos ser el mximo, es decir el 100 %.

    SELECCIN DE LOS RADIADORES

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    SELECCIN DE LOS RADIADORES

    Los valores expuestos en la tabla siguiente, estncalculados para salto trmico de 60 C,correspondientes a la antigua norma UNE 9015,sustituida por la norma europea UNE-EN 442,despus de la entrada en vigor del RITE, en la cualsu valor es de 50 C. Encontrando la diferenciaposteriormente.

    Los radiadores se han elegido delcatlogo general de la marca comercialRoca.

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    TEMA 7

    1. Saln comedor:Prdidas 4.229 W = 3.636 Kcal/h

    1 radiador

    2 radiadores

    Clculo de los radiadores

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    TEMA 7 Prdidas Saln = 4.229 W = 3.636 kcal/h

    2 Radiadores Dubal 70, Emisin = 1.196,3x2 = 2.392,6 kcal/h

    Con 7 elementos cada uno

    1 Radiador Dubal 30, de 1.273,5 Kcal/h

    Con 15 elementos

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    TEMA 7

    1. Saln comedor:Prdidas 4.229 W = 3.636 Kcal/h

    1 radiador 1.273 Kcal/h

    2 radiadores 2.393Kcal/h

    SUMA 3.666 Kcal/h

    Clculo de los radiadores

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    EJEMPLO DE CLCULO

    10

    1

    2 34

    5

    67

    8 9

    10

    11

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    Local W Kcal/h N Radiador Elementos Emisincalorfica

    Saln 4 .229 3.6361

    2 y 3Dubal 30

    2xDubal 7015

    2x71.273

    2x1.196

    Bao 261 224 4 Dubal 30 3 255

    Cocina 734 631 5 Dubal 45 6 677

    Dormitorio 1 862 741 6 Dubal 60 6 886

    Dormitorio 2 1.206 1.037 7 Dubal 70 7 1.196

    Dormitorio 3 657 565 8 Dubal 45 6 677

    Dormitorio 4 1.269 1.091 9 Dubal 70 7 1.196

    Vestbulo 897 771 10 y 11 Dubal 45

    Dubal 3044

    451340

    10.115 8.697 72 9.343

    De la misma manera y resumiendo:

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    Queda definido el caudal de agua que circula por el dispositivoemisor, como:

    C = Q/cxt

    En la que:

    C = caudal msico de agua que circula por el emisor en kg/s.

    Q = potencia calorficaen W

    t = diferencia temperat ura de entrada y s alida del emisor

    C = calor especfico del agua 4.185 J (kg C)

    Se toma como base para el clculo una diferencia de 20C

    Con lo que en el saln-comedor:

    C = 3.636/4.185x20 = 0,043kg/s

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    El restode valores:

    Local W Kc al /h N Ra dia do r Ele me nt os Emisincalorfica Caudal

    Saln 4 .229 3.6361

    2 y 3Dubal 30

    2xDubal 7015

    2x71.273

    2x1.196 0,043

    Bao 261 224 4 Dubal 30 3 255 0,003

    Cocina 734 631 5 Dubal 45 6 677 0,009

    Dormitorio 1 862 741 6 Dubal 60 6 886 0,01

    Dormitorio 2 1.206 1.037 7 Dubal 70 7 1.196 0,014

    Dormitorio 3 657 565 8 Dubal 45 6 677 0,008

    Dormitorio 4 1.269 1.091 9 Dubal 70 7 1.196 0,015

    Vestbulo 897 771 10 y 11 Dubal 45

    Dubal 3044

    451340

    0,011

    10.115 8.697 72 9.343 0,113

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    sta es sustituida por la norma europea UNE-EN442, despus de la entrada en vigor del RITE, enla cual su valor es de 50 C. Encontrando la

    diferencia posteriormente.

    Los valores expuestos en la tabla siguiente, estncalculados para salto trmico de 60 C,correspondientes a la antigua norma UNE 9015.

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    TEMA 7 Prdidas Saln = 4.229 W = 3.636 kcal/h

    2 Radiadores Dubal 70, Emisin = 1.191,3x2 = 2.382,6 kcal/h

    Con 10 elementos cada uno

    1 Radiador Dubal 30, de 1.283,4 Kcal/h

    Con 18 elementos

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    Comparacin entre las normas UNE 9015 y UNE-EN 442-Radiadores

    Norma UNE9015 (60C)

    Norma UNE 442(50C)

    Local W Kcal/h N Radiador Elementos Emisin

    calorfica Radiador Elementos Emisin

    calorfica

    Saln 4.229 3.6361

    2 y 3Dubal 30

    2xDubal 7015

    2x71.273

    2x1.196Dubal 30

    2xDubal 70

    182x10

    1.2832x1.191

    Bao 261 224 4 Dubal 30 3 255 Dubal 30 4 285

    Cocina 734 631 5 Dubal 45 6 677 Dubal 45 8 635

    Dormitorio 1 862 741 6 Dubal 60 6 886 Dubal 60 8 831

    Dormitorio 2 1.206 1.037 7 Dubal 70 7 1.196 Dubal 70 10 1.191

    Dormitorio 3 657 565 8 Dubal 45 6 677 Dubal 45 8 635

    Dormitorio 4 1.269 1.091 9 Dubal 70 7 1.196 Dubal 70 10 1.191

    Vestbulo 8 97 771 10 y 1 1 Dubal 45

    Dubal 3044

    451340

    Dubal 45Dubal 30

    65

    477356

    10.115 8.697 72 9.343 87 9.266

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    Como se aprecia la aplicacin del salto trmicode la UNE-EN 442 (10) supone un aumento deldoble en lo referente al gasto, y por lo tantoconlleva un sobredimensionamiento de lastuberas.

    En cuanto a los caudales:

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    Comparacin entre las normas UNE 9015 y UNE-EN 442CAUDALES

    Norma UNE9015 (60C)

    Norma UNE 442(50C)

    Local W Kcal/h N Elemento

    sEmisincalorfica Caudal

    Elementos Emisincalorfica Caudal

    Saln 4.229 3.6361

    2 y 315

    2x71.273

    2x1.196 0,043 18

    2x10

    1.2832x1.191 0,086

    Bao 261 224 4 3 255 0,003 4 285 0,006

    Cocina 734 631 5 6 677 0,009 8 635 0,018

    Dormitorio 1 862 741 6 6 886 0,01 8 831 0,02

    Dormitorio 2 1.206 1.037 7 7 1.196 0,014 10 1.191 0,028

    Dormitorio 3 657 565 8 6 677 0,008 8 635 0,016

    Dormitorio 4 1.269 1.091 9 7 1.196 0,015 10 1.191 0,030

    Vestbulo 8 97 771 10 y 1 1 4

    4451340

    0,011 6

    5

    477356 0,022

    10.115 8.697 72 9.343 0,113 87 9.266 0,226

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    Distribucin instalacin tuberas

    19A

    B

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    RED HIDRULICA DE CALEFACCINDISTRIBUCIN

    RAMAL 1

    RAMAL 2

    AB

    C D E F

    G H I J K

    RAD 1Comedor-Estar

    RAD 2

    Comedor-Estar

    RAD 3

    Comedor-Estar

    RAD 4

    Bao

    RAD 5

    Cocina

    RAD 6Dormitorio 1

    RAD 7Dormitorio 2

    RAD 8Dormitorio 3

    RAD 9Dormitorio 4

    RAD 10Pasillo

    RAD 11Vestbulo

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    DISEO DE LA RED DE TUBERIAS

    Norma UNE9015 (60C)

    Norma UNE 442(50C)

    N Elementos Caudal Elementos Caudal (kg/s)

    12 y 3

    152x7 0,043

    182x10

    0,0,86

    4 3 0,003 4 0,006

    5 6 0,009 8 0,018

    6 6 0,01 8 0,02

    7 7 0,014 10 0,028

    8 6 0,008 8 0,016

    9 7 0,015 10 0,030

    10 y 11 4

    4 0,011

    65

    0,022

    72 0,113 87 0,226

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    DISEO DE LA RED DE TUBERIAS

    Norma UNE 442(50C)

    N Elementos Caudal (kg/s) Kg/h l/h

    12 y 3

    182x10

    0,086 310

    4 4 0,006 21,6

    5 8 0,018 64,8

    6 8 0,02 72,0

    7 10 0,028 100,8

    8 8 0,016 54,1

    9 10 0,030 108,0

    10 y 11 6

    5 0,022 79,2

    87 0,226 810,5 810

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    DISEO DE LA RED DE TUBERIAS

    Caudal total: 426,9 + 383,6 = 810,5

    Ramal 1 Kg/h l/h Ramal 2 l/h l/h

    2 100 1 110 110

    3 100 200 11 36,2 146,2

    5 64,8 264,8 6 72 218,2

    8 54,1 318,9 10 43 261,2

    9 108 426,9 4 21,6 282,8

    7 100,8 383,6

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    RED HIDRULICA DE CALEFACCINCAUDALES

    RAMAL 1

    RAMAL 2

    AB

    C D E F

    G H I J K

    RAD 1Comedor-Estar

    RAD 2

    Comedor-Estar

    RAD 3

    Comedor-Estar

    RAD 4

    Bao

    RAD 5

    Cocina

    RAD 6Dormitorio 1

    RAD 7Dormitorio 2

    RAD 8Dormitorio 3

    RAD 9Dormitorio 4

    RAD 10Pasillo

    RAD 11Vestbulo

    810,5

    426,9

    383,6

    108

    318,9

    54,1

    264,8

    64,8

    200

    100

    100

    100,8

    282,8

    21,6

    261,2

    43

    218,272

    146,2

    36,2

    110

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    CLCULO DE LA RED HIDRULICA DECALEFACCIN

    Se utilizar tubera de cobre para la ejecucin del circuito detuberas.

    El clculo se efectuartratandode minimizar las prdidasde carga

    Aunque la normativa prev que stas no superen los 40mmcda/m, usualmente se trabaja con prdidas entre 12 y16 mmcda/m. Sin sobrepasar los 20.

    Por lo tanto, en nuestro caso se elegirn dimetrossuficientementegrandes para que estoocurra.

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    Podemos encontrar los dimetros en el bacocorrespondiente a las tuberas de cobre, teniendo en cuentaas mismo la velocidad del agua, que segn el RITE, nodebe pasar de 0,5 m/s en los montantes y 1,5 en losdistribuidores.

    NOTA:

    El anterior reglamento, recomendaba que la prdida de carga fuera inferior a 40 mmcdapor metro, y la velocidad de 2 m/s en locales habitados y 3 en tuberas enterradas.

    CLCULO DE LAS TUBERAS

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    DISEO DE LA RED DE TUBERIAS- RAMAL - 1

    Norma UNE 442(50C)

    Tramo l/h l/m

    A-B 810 13,5

    B-C 426 7,1

    C-D 318 5,3

    D-E 265 4,4

    E-F 200 3,3

    F-1 100 1,6

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    13,5 l/m

    V=1 m/s

    TRAMO A-B

    Dimetro interior 20 mm (Tubo de cobre de 22x1)

    Prdidas de carga 20 mmcda/m

    V=0,65 m/s

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    En el punto B, la tubera se bifurca en dos ramales, uno para lateral de lavivienda, siendo:

    Tramo Q D VPrdida de

    carga

    unitaria

    L

    A-B l/m mm m/s Mmcda/m m

    13,5 20 0,65 20 7,1

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    Tramo Q D VPrdida de

    carga

    unitaria

    L

    A-B 13,5 20 0,65 20 7,1

    B-C 7,1 16,5 0,38 14 0,65

    C-D 5,3 14,5 0 ,37 14 4,15

    D-E 4,4 14,5 0 ,33 12 7,95

    E-F 3,3 14,5 0,25 7 1,25

    F-2 1,6 10,5 0 ,23 9,5 6,3

    C-9 10,5 0,22 8 2,4

    D-8 10,5 0,20 9 2,66

    E-5 8,5 0,20 9 1,77

    F-3 10,5 0,23 9,5 1,77

    RAMAL 1

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    Tramo L D V

    Prdida

    de carga

    unitaria

    B-G 4,65 16,5 0,33 10

    G-H 3,05 14,5 0,33 12

    H-I 1 14,5 0,28 9

    I-J 0,95 14,5 0,25 7

    J-K 4,85 12,5 0,23 7

    G-7 2,96 10,5 0,2 7

    H-4 3,61 8,5 0,1 2,5

    I-10 1,92 8,5 0,11 3

    J-6 5,96 10,5 0,16 4,3

    K-11 2,66 8,5 0,14 4,5

    K-1 13,70 10,50 0,24 10

    RAMAL 2

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    RED HIDRULICA DE CALEFACCINDIAMETRO TUBERIAS

    RAMAL 1

    RAMAL 1

    AB

    C D E F

    G H I J K

    RAD 1Comedor-Estar

    RAD 2

    Comedor-Estar

    RAD 3

    Comedor-Estar

    RAD 4

    Bao

    RAD 5

    Cocina

    RAD 6Dormitorio 1

    RAD 7Dormitorio 2

    RAD 8Dormitorio 3

    RAD 9Dormitorio 4

    RAD 10Pasillo

    RAD 11Vestbulo

    20 mm

    16,5

    16,5

    10,5

    14,5

    8,5

    14,5

    8,5

    14,5

    10,5

    10,5

    10,5

    14,5

    8,5

    14,5

    8,5

    10,5

    12,5

    8,5

    10,5

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    El paso siguiente consistir en mostrar de que forma puede estimarsela prdida de carga principal (nicamente de los tramos rectos de lastuberas)de la lnea de alimentacinde los radiadores.

    Prdidas de carga principales

    Se tendr que determinar qu circuito es el que genera una mayorresistenciaal paso del lquido.

    Parece lgico que ser el de mayor longitud, en nuestro caso setratardel ramal II.

    El circuito hidrulico completo, con la lnea de retorno, se puede veren el siguiente esquema:

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    Prdidas de carga principales

    RAMAL 1

    RAMAL 2

    RadiadorDormitorio 2

    RadiadorBao

    RadiadorPasillo

    RadiadorDormitorio 1

    RadiadorVestbulo

    RadiadorComedor-Estar

    CALDERA

    A A

    B

    B

    GHIJK

    111 6 10 4 7

    1.480 555 966

    415 332

    1.385

    5.133 W

    2.035 3.0013.416

    3.748

    Potencia calorfica 10.7 76 W

    Para estimar las prdidas de carga

    principales se confecciona la tablasiguiente

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    Prdidas de carga principales

    Datos de los planos de tuberas Clculos hidrulicos

    Capacidad delramal

    Caudal deagua

    Longitud deltramo Dimetro

    Velocidaddel fluido

    Prdida decarga unitaria

    Prdida decarga del tramo

    C L D V Hf/L hf

    Tramo W Kg/h M mm m/s mmcda mmcda

    AB 10.776 810 7,1 20 0,47 15 107,7

    BG 5.133 383,6 4,65 16,5 0,33 10 46,5

    GH 3.748 282,8 3,05 14,5 0,33 12 36,6

    HI 3.416 261,2 1 14,5 0,28 9 9

    IJ 3 .001 218,2 0,95 14,5 0,25 7 6,7

    JK 2.035 146,2 4,85 12,5 0,23 7 34

    K1 1.480 110 13,7 10,5 0,24 10 137

    Prdidas de carga debidas a la longitud de la tuberia de ida ( sin accesorios) 337,5

    Las perdidas de carga debidas a la longitud de la tubera de ida ms larga (ramal 2) sin tener encuenta la existencia de resistencias aisladas (accesorios) son de 337,5 mmca

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    Sabiendo que las prdidas de carga originadas por codos, llaves,radiadores, vlvulas, etc., suponen aproximadamente del 30 al 50 % delas prdidas totales, que son las que deber vencer la bomba,sirvindonos para su clculo.

    En nuestro caso sern:

    337,5 x 0,50 = 169 mmcda

    Prdidas de carga secundarias

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    Sern la suma de las calculadas, principales y secundarias, de talforma que:

    337,5 + 169 = 506,5 mmcda

    Prdidas de carga totales

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    Segn el caudal calculado de 6,4 l/m,equivalente a 0,38 m/h y una prdida decarga total de 5,06 mcda, segn las curvasde caudal presin de Roca:

    38

    Clculo de la bomba aceleradora

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    Clculo de la bomba aceleradora

    0,38 m/h

    5,06 mcda

    PC-1055

    7,6

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    Actualmente la bomba de circulacin se encuentra, lamayor parte de veces instalada en el conjunto de lacaldera. Por esto el fabricante, que conoce sta, decide sutipo y caractersticas.

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    La potencia de la caldera o calderas, debe ser capaz desuministrar la debida a la calefaccin y la necesaria para ACS,siempreque el grupo trmico mixto sea inferior a 70 KW.

    l cul o de l a cal der a y el quemador

    Ser la necesaria para contrarrestar las prdidas de calor atravs de los elementos constructivos, el aire de renovacindebido a la infiltracin e incluso la prdida de calor disipada enlas tuberas.

    La Directiva Europea 92/42/CEE, exige que los generadorestengan un rendimiento mnimo en funcin de su potencia til ysegn el tipo de combustible. RD 275/1995.

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    l cul o de l a cal der a y el quemador

    El clculo de la caldera se realiza:

    Potencia total demandada = QT=(SQ1+SQ2)xA

    Q1=potenciacalculada en radiadores (kcal/h)

    Q2=potenciadisipada en tuberas

    A=aumentode inerciade valor 1,2

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    En nuestro caso:

    Potenciacalculadaradiadores= 9.266 w = 9,26 kw

    Potenciatotal = (9,26/0,95) 1,2 = 11,64 kW.

    Se adoptar una caldera tipo Lidia,modeloLidia20 GT, de Roca.

    Grupo trmico de fundicin, para instalaciones de calefaccinpor agua caliente hasta 4 bar y 100 C.

    De 15000 kcal/h (17,4 kW), y resto de caractersticas que se

    pueden observar en:

    l cul o de l a cal der a y el quemador

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    En cuanto al quemador, igual que la bomba, el fabricante, porconocer las caractersticas de la caldera, procede a la seleccindel mismo. En nuestro caso un quemador de gasoil Neotronic ykadet-tronic,modelo , 2RS-L, integradoen el conjunto.

    l cul o del quemador

    Cumplir lo establecido en la IT correspondiente, en cuanto a suregulacin. Bsicamente se elige en funcin de la longitud yanchurade la llama.

    El consumo horario de combustible viene expresado por la

    expresin:Q = Qt/Pci x

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    Se deben cumplir una serie de consideraciones con estoselementos:

    Es recomendable un vaso de expansinpor caldera

    La alimentacin del agua al sistema no puede realizarse conuna conexin directa a la red de distribucin urbana. Se debehacer preferiblemente por el vaso.

    No debe existir ningn elemento de corte entre la caldera y elvaso de expansin.

    l cul o del vaso de expansin

    Debe calcularse el contenido de agua de la instalacin llena,contando todos los elementos que la componen, radiadores,

    tuberas y caldera, que junto al factor de dilatacin del agua,nos proporcionar la capacidad del vaso

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    l cul o del vaso de expansin

    Si es abierto,se debe calcular segn la norma UNE100155-88.

    Su volumenser:

    Vv=0,06xVt

    Vt, es el volumen total de agua incluyendo el de la tubera deconexindesde lacaldera al vaso, que tendr un dimetrode:

    D = 15+1,5vP

    P=potencia instalada en kW, en todo caso, D=25 mm (segn UNE100157-89)

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    En nuestro caso, ser un vaso de expansin cerrado,con compresor, con lo cual:

    Vu= Vxfd

    Vu=volumen til del vaso

    V= Volumen del agua de la instalacin

    Fd= Factor de dilatacin, que en la EN 442, adopta como valor medio la temperatura de 70 C

    l cul o del vaso de expansin

    Dilatacin del agua

    10 C 0,027 %

    20 C 0,177 %

    30 C 0,435 %

    40 C 0,782 %

    50 C 1,21 %

    60 C 1,71 %70 C 2,27 %

    80 C 2,90 %

    90 C 3,59 %

    100 C 4,34 %

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    l cul o del vaso de expansin

    V, tendr un valor:

    Radiadores: 68 elementosx 0,43 litros + 19x0,36 = 36,08 litros

    Caldera:13 litros

    Tuberas: 71 m x 0,079 l/m = 5,6 litros ( Segn tabla norma UNE-EN1057)

    Factor de dilatacin: 0,0228 (temperatura 70 C, EN 442).

    El volumen del vaso ser tan pequeo que:

    Se dispondr de un modelo vasoflex de Roca de 8 litros decapacidad, que cumplircon lo quese necesita.

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    La cantidad de agua a evacuar por la vlvula de seguridad secalcula:

    G = Q/500

    G = capacidad de descarga

    Q = potencia de la instalacin en kcal/h (o en kW)

    Vlvul a de seguridad

    La tubera de descarga, la encontramos en la tabla 2 de la normaUNE 100157-89, donde la obtenemos directamente en funcin dela potenciade la instalacin.

    El dimetro mnimo de sta, ser de 20 mm.

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    Se calcula para una reserva de un mes, considerando el de Enero. Por medio del mtodode los grados-da:

    Capacidad depsito combustible

    Donde: V=Volumen depsito de combustible

    Q=Potencia de la caldera (kcal/h)

    G=nmero de grados-da mes de Enero (UNE 24026)

    V=coeficiente de uso

    I=coeficiente de intermitencia

    R=rendimiento de la instalacin=0,85P=poder calorfico de la unidad de combustible (10500 kcal/kg, para el gasleo C)

    352

    1050085,025

    85,01243,2571500024

    PRtt

    IvGQV

    ei

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    IT 1.3.4.1.3.1 Evacuacin de los productos de lacombustin

    Chimenea

    La evacuacin de los productos de la combustin enlas instalaciones trmicas se realizar de acuerdocon las normas generales expuestas en el prrafoanterior.

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    En los edificios de nueva construccin en losque se prevea una instalacin trmica, laevacuacin de los productos de lacombustin del generador se realizar por unconducto por la cubierta del edificio, en elcaso de instalacin centralizada.

    Chimenea

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    IT 1.3.4.1.3.2 Diseo y dimensionado de chimeneas

    Chimenea

    Es vlido el dimensionado de las chimeneas de acuerdo a loindicadoen las normas:

    UNE-EN 13384-1

    UNE-EN 13384-2

    UNE 123001, segn el caso.

    La chimenea ser de material resistente a la accin agresiva de losproductos de la combustin y a la temperatura, con la estanquidadadecuadaal tipo de generador empleado.

    En el caso de chimeneas metlicas la designacin segn la normaUNE-EN 1856-1 o UNE-EN 1856-2 de la chimenea elegida en cadacaso y para cada aplicacin ser de acuerdo a lo establecido en lanorma UNE 123001.

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    Para la evacuacin de los productos de lacombustin de calderas, la seccin de la chimenea,su material y longitud sern los certificados por elfabricante de la caldera.

    Chimenea

    Pero conociendo la potencia de la instalacin (kcal/ho kW) as como la altura de la chimenea, la obtencindel dimetro es inmediata, por medio del diagrama

    comercial. Siendo ste el procedimiento ms seguro.

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    Chimenea

    La seccin de los conductos de humo, secalcula de acuerdo con el volumen de gasesprevisibles, segn la expresin de Sander,con la cual se hacen los bacoscorrespondientes:

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    S = 213 cm

    Seccincircular:

    213 = 3,14x R con loque

    R = 8,25 cm

    Con estos datos:

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