SIST EN 13384-1:2003/A1:2006
(Amendment)Chimneys - Thermal and fluid dynamic calculation methods - Part 1: Chimneys serving one appliance
Chimneys - Thermal and fluid dynamic calculation methods - Part 1: Chimneys serving one appliance
Introduction on a calculation method for concentric balanced flue chimney configurations
Abgasanlagen - Wärme- und strömungstechnische Berechnungsverfahren - Teil 1: Abgasanlagen mit einer Feuerstätte
Conduits de fumée - Méthode de calcul thermo-aéraulique - Partie 1: Conduits de fumée ne desservant qu'un seul appareil
La partie 3 décrit des méthodes qui permettent de développer des diagrammes et des tableaux pour les
conduits de fumée desservant un seul appareil de chauffage.
Dimniki – Računske metode termodinamike in dinamike fluidov – 1. del: Dimniki za eno ogrevalno napravo
General Information
Relations
Standards Content (Sample)
SLOVENSKI STANDARD
SIST EN 13384-1:2003/A1:2006
01-januar-2006
'LPQLNL±5DþXQVNHPHWRGHWHUPRGLQDPLNHLQGLQDPLNHIOXLGRY±GHO 'LPQLNL]D
HQRRJUHYDOQRQDSUDYR
Chimneys - Thermal and fluid dynamic calculation methods - Part 1: Chimneys serving
one appliance
Abgasanlagen - Wärme- und strömungstechnische Berechnungsverfahren - Teil 1:
Abgasanlagen mit einer Feuerstätte
Conduits de fumée - Méthode de calcul thermo-aéraulique - Partie 1: Conduits de fumée
ne desservant qu'un seul appareil
Ta slovenski standard je istoveten z: EN 13384-1:2002/A1:2005
ICS:
91.060.40 Dimniki, jaški, kanali Chimneys, shafts, ducts
SIST EN 13384-1:2003/A1:2006 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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EUROPEAN STANDARD
EN 13384-1:2002/A1
NORME EUROPÉENNE
EUROPÄISCHE NORM
October 2005
ICS 91.060.40
English Version
Chimneys - Thermal and fluid dynamic calculation methods -
Part 1: Chimneys serving one appliance
Conduits de fumée - Méthode de calcul thermo-aéraulique - Abgasanlagen - Wärme- und strömungstechnische
Partie 1: Conduits de fumée ne desservant qu'un seul Berechnungsverfahren - Teil 1: Abgasanlagen mit einer
appareil Feuerstätte
This amendment A1 modifies the European Standard EN 13384-1:2002; it was approved by CEN on 19 September 2005.
CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for inclusion of this
amendment into the relevant national standard without any alteration. Up-to-date lists and bibliographical references concerning such
national standards may be obtained on application to the Central Secretariat or to any CEN member.
This amendment exists in three official versions (English, French, German). A version in any other language made by translation under the
responsibility of a CEN member into its own language and notified to the Central Secretariat has the same status as the official versions.
CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France,
Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia,
Slovenia, Spain, Sweden, Switzerland and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
Management Centre: rue de Stassart, 36 B-1050 Brussels
© 2005 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN 13384-1:2002/A1:2005: E
worldwide for CEN national Members.
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EN 13384-1:2002/A1:2005 (E)
Contents Page
Foreword .4
1 Scope .5
2 Normative references .5
3 Terms and definitions.5
4 Symbols, terminology and units.5
5 Calculation method for non-balanced flue chimneys .6
5.1 General principles.6
5.2.2 Überdruckabgasanlagen (only in the German version) .6
5.4 Calculation procedure .6
5.5 Flue gas data characterizing the heating appliance.6
5.10.4 Wind velocity pressure (P ).7
L
7 Calculation method for balanced flue chimneys .7
7.1 General principles.7
7.2 Pressure requirements .8
7.3 Temperature requirements.9
7.4 Calculation procedure .9
7.5 Flue gas data characterizing the heating appliance.9
7.6 Characteristic data for the calculation .9
7.7 Basic values for the calculation.9
7.7.1 Air temperatures .9
7.7.2 Other basic values .10
7.8 Determination of the temperatures.10
7.8.1 Non-concentric (separate) ducts .10
7.8.2 Concentric ducts – calculation based on a correction factor for heat radiation.11
7.8.3 Concentric ducts – calculation based on calculated heat radiation .26
7.8.4 Mean temperatures for pressure calculation.29
7.9 Determination of densities and velocities.30
7.9.1 Density and velocity of the flue gas .30
7.9.2 Density and velocity of the supply air .30
7.10 Determination of pressures.31
7.10.1 Pressure at the flue gas inlet into the chimney .31
7.10.2 Theoretical draught due to chimney effect in the chimney segment (P ) .32
H
7.10.3 Pressure resistance in the chimney segment (P ) .32
R
7.10.4 Wind velocity pressure (P ).32
L
7.11 Draught required at the flue gas inlet into the chimney (P ) and maximum differential
Ze
pressure at the flue gas inlet into the chimney (P ).32
Zoe
7.11.1 General .32
7.11.2 For the calculation minimum draught for the heating appliance (P ) and maximum
W
differential pressure of the heating appliance (P ) .32
WO
7.11.3 Effective pressure resistance of the connection pipe (P ).32
FV
7.11.4 Pressure resistance of the air supply.32
7.12 Calculation of the inner wall temperature at the chimney outlet (T ).35
iob
8 Consideration of the condensation heat of the flue gas water vapour.36
8.1 General .36
8.2 Onset of condensation .36
8.3 Calculation of the flue gas temperature at the outlet of a chimney segment with
condensation (j ≥ NsegK) .39
2
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EN 13384-1:2002/A1:2005 (E)
Annex B (informative) Tables .45
Annex E (informative) Determination of the gas constant R considering the condensation .47
3
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EN 13384-1:2002/A1:2005 (E)
Foreword
This European Standard (EN 13384-1:2002/A1:2005) has been prepared by Technical Committee
CEN/TC 166 “Chimneys”, the secretariat of which is held by UNI.
This Amendment to the European Standard EN 13384-1:2002 shall be given the status of a national standard,
either by publication of an identical text or by endorsement, at the latest by April 2006, and conflicting national
standards shall be withdrawn at the latest by April 2006.
The following Amendment to EN 13384-1 is an additional specific calculation method for balanced flue
chimneys
- In the Foreword:
th
Change in the 5 paragraph: … consists of three (instead two) parts:
Add part 13384-3:
Part 3: Methods for the development of diagrams and tables for chimneys serving one heating appliance
According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following
countries are bound to implement this European Standard: Austria, Belgium, Cyprus, Czech Republic,
Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,
Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia, Slovenia, Spain, Sweden, Switzerland
and United Kingdom.
4
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EN 13384-1:2002/A1:2005 (E)
1 Scope
rd
Add at the end of the 3 paragraph:
Part 3 describes methods for the development of diagrams and tables for chimneys serving one heating
appliance.
2 Normative references
Delete: "pr" at EN 1856-1 (only in the English version)
3 Terms and definitions
Delete in the first sentence: "1999" at EN 1443. (only in the English version)
Add new definitions:
3.24
air-flue gas system
system of concentric or non-concentric ducts for transport of combustion air from the open air to the heating
appliance and products of combustion from the heating appliance to the open air
3.25
air-supply duct
component or components parallel to the chimney (separate or concentric) that conveys combustion air from
the outside atmosphere to the inlet of the connecting air supply pipe
3.26
balanced flue chimney
chimney where the point of air entry to the air supply duct is adjacent to the point of discharge of combustion
products from the flue, the inlet and outlet being so positioned that wind effects are substantially balanced
3.27
chimney segment
a calculation part of a chimney
3.28
condensate mass flow ( ∆m& )
D
mass of water vapour of the flue gas condensed in the heating appliance, connecting flue pipe or the chimney
per time unit
3.29
connecting air supply pipe
component or components connecting the air supply duct outlet with the room-sealed heating appliance
combustion air inlet
3.30
condensation factor (f )
K
proportion of the theoretical maximum condensation mass flow usable in the calculation
4 Symbols, terminology and units
Add new symbols:
q heat transfer from the flue to the outer surface, in K
C
5
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EN 13384-1:2002/A1:2005 (E)
2 4
σ black body radiation number, in W/(m ·K )
Rad
New title for Clause 5:
5 Calculation method for non-balanced flue chimneys
5.1 General principles
Third indent:
Delete the first word “chimney”.
5.2.2 Überdruckabgasanlagen (only in the German version)
In der Legende ist die 1. Zeile auszutauschen gegen:
P der zur Verfügung stehende Förderdruck der Feuerstätte, in Pa
WO
5.4 Calculation procedure
To the first paragraph add the following sentence:
For new built chimneys, a pre-estimated value for the flue size should be used.
In the third paragraph “5.5.2” shall be replaced by “5.5.3”:
At the end of 5.4 add the following note:
NOTE The temperature requirement need not be met for the following conditions provided that it is accepted that in
case the requirement for temperature is not fulfilled no guarantee can be given that no moisture appears.
The conditions are:
- where the heating appliance is replaced by an appliance that has an output of < 30 kW, and,
- that the flue gas loss of the heating appliance is at least 8 %, and
- that the heating appliance has a draught diverter which provides adequate ventilation in the chimney during
standby periods or periods of low output. This may be achieved by over-sizing the heating appliance output.
5.5 Flue gas data characterizing the heating appliance
Delete in the head line the text “for nominal heat output”.
5.7.1.3 Ambient air temperature
Delete in the second indent the brackets “(including relined chimneys)”.
Delete the third indent (data for “chimneys with ventilated air gaps ventilated in the opposite direction as
the flue gas“).
6
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EN 13384-1:2002/A1:2005 (E)
5.10.1.2 Positive pressure at the flue gas inlet into the positive pressure chimney (P )
ZO
The second paragraph and Equation (30) shall be replaced as follows:
The positive pressure at the flue gas inlet into the chimney P shall be calculated using the following
ZO
equation:
P = P - P + P in Pa (30)
ZO R H L
5.10.1.1 Unterdruck an der Abgaseinführung in die Unterdruck-Abgasanlage (P ) (only in the German
Z
version)
Der letzte Satz der Legende ist zu ändern in:
P der Wind. Widerstandsdruck für den senkrechten Abschnitt der Abgasanlage, in Pa.
R
5.10.3.3 Rohreibungszahl des Abgaswegs (ψ) (only in the German version)
Der letzte Satz ist zu ändern in:
Liegen kein Werte vor, können typische mittlere Rauigkeitsbei werte für verschiedene Werkstoffe der Tabelle
B.4 entnommen werden.
5.10.4 Wind velocity pressure (P )
L
Amend second sentence to:
The chimney outlet is considered to be in an adverse pressure zone if the chimney outlet position is less than
0,4 m above the ridge and the distance of a horizontal line from the intersection with the roof, or the projection
of the ridge above the roof, to the chimney outlet is less than 2,3 m, and the chimney outlet is situated:
Add new Clauses 7 and 8:
7 Calculation method for balanced flue chimneys
7.1 General principles
The calculation of inside dimensions (cross section) of negative pressure chimneys is based on the following
three criteria:
the draught at the flue gas inlet into the chimney shall be equal to or greater than the draught required at
the flue gas inlet into the chimney;
the draught at the flue gas inlet to the chimney shall be equal to or greater than the effective pressure
resistance at the outlet of the air supply duct;
the temperature of the inner wall at the outlet of the chimney shall be equal to or greater than the
temperature limit.
The calculation of inside dimensions (cross section) of positive pressure is based on the following three
criteria:
the comparison between the positive pressure at the flue gas inlet into the chimney shall be equal to or
less than the maximum differential pressure at the flue gas inlet into the chimney;
the positive pressure in the connecting flue pipe and in the chimney shall not be higher than the
difference between the excess pressure for which both are designated and the pressure of the
surrounding supply air;
7
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EN 13384-1:2002/A1:2005 (E)
the temperature of the inner wall at the outlet of the chimney shall be equal to or greater than the
temperature limit.
In order to verify the criteria, two sets of external conditions are used:
the calculation of the pressure (draught) is made with conditions for which the capacity of the chimney is
minimal (i.e. high outside temperature); and also
the calculation of the inner wall temperature with conditions for which the inside temperature of the
chimney is minimal (i.e. low outside temperature).
For the calculation, a balanced flue chimney and its air supply duct shall be divided into Nseg chimney
segments of equal lengths each with a maximum length of 0,5 m. When the thermal resistance between the
2
chimney (flue duct) and the air supply duct is higher than 0,65 m K/W then they need not to be divided into
segments (Nseg =1).
The connecting flue pipe and the connecting air supply pipe shall be divided into NsegV connecting flue pipe
segments of equal lengths each with a maximum length of 0,5 m. When the thermal resistance between the
2
connecting flue pipe and the connecting air supply pipe is higher than 0,65 m ·K/W then the configuration
need not to be divided into segments (NsegV =1).
7.2 Pressure requirements
The relationships (1) and (59), for negative pressure chimneys or (3), (60) and (61) for positive pressure
chimneys shall be verified for all relevant operating conditions.
P ≥ P + P in Pa (59)
Z RB HB
P ≤ P −()P + P in Pa (60)
ZO Zexcess RB HB
P + P ≤ P − P in Pa (61)
ZO FV ZVexcess B
where
P is the draught at the flue gas inlet into the chimney, in Pa;
Z
P is the positive pressure at the flue gas inlet into the chimney, in Pa;
ZO
P
is the pressure resistance of the air supply duct, in Pa;
RB
P is the theoretical draught available due to chimney effect of the air supply duct, in Pa;
HB
P
is the effective pressure resistance of the connecting flue pipe, in Pa;
FV
P
is the maximum allowed pressure from the designation of the chimney, in Pa;
Zexcess
P is the maximum allowed pressure from the designation of the connecting flue pipe, in Pa.
ZVexcess
The pressure resistance for the air supply P shall be calculated using the following equation:
B
P = P + P + P + P in Pa (62)
B RB HB RBV HBV
where
P is the effective pressure resistance of air supply, in Pa;
B
P
is the pressure resistance of the air supply duct, in Pa;
RB
P
is the theoretical draught available due to chimney effect of the air supply duct, in Pa;
HB
8
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EN 13384-1:2002/A1:2005 (E)
P
is the pressure resistance of the connecting air supply pipe, in Pa;
RBV
is the theoretical draught available due to chimney effect of the connecting air supply
P
HBV
pipe, in Pa.
7.3 Temperature requirements
The relationships (6) and (7) shall be verified.
7.4 Calculation procedure
For the calculation of the pressure and temperature values for the relationships of Equations (1), (3), (6), (59),
(60), and (61) the values of the flue gas data, characterised according to 5.5, shall be obtained for the
appliance. The data specified in 7.6 shall be obtained for the chimney, the connecting flue pipe, the air supply
duct and the connecting air supply pipe. For new built chimneys a pre-estimated value for the flue size should
be used.
7.7 to 7.11 provide calculations needed to finalise the chimney thermal and fluid dynamic calculations. In 7.7
the equations provide the calculation of the basic data which are needed for further calculation.
The equations for the calculations of the relevant temperatures are compiled in 5.5.3 and 7.8. The equations
for the density of the flue gas and its velocity are compiled in 7.9.
The procedure in 7.10 and 7.11 shall be used to validate the pressure requirement. The procedure in 7.12
shall be used to validate the temperature requirement.
The validation for pressure and temperature requirement shall be conducted twice:
for the nominal heat output of the heating appliance and
for the lowest value of the heat output range which is indicated by the manufacturer of the heating
appliance.
7.5 Flue gas data characterizing the heating appliance
The flue gas data characterizing the heating appliance shall be calculated in accordance with 5.5.
7.6 Characteristic data for the calculation
The characteristic data shall be calculated in accordance with 5.6.
The mean value for roughness of the air supply duct r and the connecting air supply pipe r should be
B BV
obtained from the product manufacturer. The mean values of roughness of materials normally used are listed
in Table B.4.
The thermal resistance of the air supply duct (1/Λ) and the connecting air supply pipe (1/Λ) can be
B BV
determined as described in 5.6.3 for chimneys. In Equation (10) D is the hydraulic diameter of the inside of
h
the air supply duct D or of the connecting air supply pipe D .
hiB hiBV
7.7 Basic values for the calculation
7.7.1 Air temperatures
7.7.1.1 General
A differentiation shall be made between the external air temperature and the ambient air temperatures for
chimneys which pass through heated areas.
9
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EN 13384-1:2002/A1:2005 (E)
7.7.1.2 External air temperature (T )
L
for heating systems is
To check that the pressure requirement has been met, the external air temperature T
L
normally calculated using 288,15 K (t = 15 °C). To check that the temperature requirement has been met the
L
following values for external air temperature T shall be used:
L
T = 258,15 K ( t = -15 °C) for chimneys operating under wet conditions;
L L
T = 273,15 K ( t = 0 °C) for chimneys operating under dry conditions.
L L
Other values for T may be used based on national accepted data.
L
7.7.1.3 Ambient air temperature (T )
u
To check that the pressure requirement has been met the ambient air temperature T = T shall be used. To
u L
check that the temperature requirement has been met, the following values for ambient air temperatures T
u
shall be used:
T = T ( t = t )
uo L uo L
T = 288,15 K ( t = 15 °C)
ub ub
T = 293,15 K ( t = 20 °C)
uh uh
T = T ( t = t )
ul uo ul uo
T = 273,15 K ( t = 0 °C)
uu uu
Other values for T may be used based on national accepted data.
uo
where
T
is the ambient air temperature at the chimney outlet, in K;
uo
T is the ambient air temperature for boiler room, in K;
ub
T is the ambient air temperature for heated areas, in K;
uh
T is the ambient air temperature for areas external to the building, in K;
ul
T is the ambient air temperature for unheated areas inside the building, in K.
uu
7.7.2 Other basic values
Other basic values shall be calculated in accordance with 5.7.2 to 5.7.6 and 5.7.8.
7.8 Determination of the temperatures
7.8.1 Non-concentric (separate) ducts
2
When the thermal resistance between the flue duct and the air supply duct is higher than 0,65 m ·K/W the
determination of the temperatures of the flue gas for separate ducts shall be calculated according to
Clause 5. The temperature of the supply air within the air ducts shall be taken equal to the external air
temperature.
Otherwise the determination of the temperatures shall be undertaken in a similar way as described in 7.8.2 or
7.8.3.
10
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EN 13384-1:2002/A1:2005 (E)
7.8.2 Concentric ducts – calculation based on a correction factor for heat radiation
7.8.2.1 General
For concentric ducts, also the values to satisfy the pressure requirements shall be used for calculating for
temperature equilibrium.
For the calculation of the temperature values in a concentric duct an iterative procedure is necessary. It is
recommended to start the calculation at the first connecting flue pipe segment j = 1 using a pre-estimated
value for the temperature of the supply air at the outlet of the concentric connecting air supply pipe T
.
oBV,1
T shall be searched iteratively using the equations in 7.8.2 until the following conditions are fulfilled:
Then
oBV,1
T − T ≤ ε in K (63)
eB,Nseg L
where
is the temperature of the supply air at the outlet of the connecting air supply pipe
T
oBV,1
segment 1, in K;
T is the temperature of the supply air at the inlet of the chimney segment Nseg, in K;
eB,Nseg
T is the temperature of the external air, in K;
L
T is the ambient air temperature at the chimney outlet, in K;
uo
Nseg is the number of chimney segments used in the calculation;
is the maximal convergence error in K and shall be taken as ≤ 1 K.
ε
7.8.2.2 Temperatures in the connecting flue pipe and connecting air supply pipe segments
When the thermal resistance between the connecting flue pipe and the connecting air supply pipe is higher
2
than 0,65 m ·K/W then the temperatures in the connecting flue pipe and the connecting air supply pipe shall
be calculated in accordance to Clause 5. Then the temperature of the supply air at the beginning of the
connecting air supply pipe segment j = NsegV T has to be pre-estimated instead of the temperature at
eB,NsegV
the end of the connecting air supply pipe segment j = 1 T (see 7.8.2.1).
oB,1
Otherwise the determination of the temperatures in the connecting flue pipe and in the connecting air supply
pipe shall be undertaken as follows:
The flue gas temperature at the connecting flue pipe inlet, that means the beginning of the first connecting flue
pipe segment j = 1 T is:
eV,1
T = T in K (64)
eV,1 W
The flue gas temperature at the beginning of the connecting flue pipe segments j > 1 T is:
e,j
T = T in K (65)
eV, j oV, j−1
where
is the temperature of the flue gas at the beginning of the connecting flue pipe segment j,
T
eV,j
in K;
T is the temperature of the flue gas at the outlet of the appliance, in K;
W
T is the temperature of the flue gas at the end of the connecting flue pipe segment j, in K.
oV,j
The temperature of the supply air at the end of the connecting air supply segment j = 1 T has to be pre-
oB,1
estimated (see 7.8.2.1).
11
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EN 13384-1:2002/A1:2005 (E)
NOTE 1 In addition to checking the temperature requirement of the chimney, a check of the supply air temperature at
the end of the connecting air supply pipe segment j = 1 T may also be undertaken if there exists a maximum air inlet
oBV,1
temperature for the heating appliance given by the manufacturer.
The temperature of the supply air at the end of connecting air supply pipe segments j > 1 T is:
oB,j
T = T in K (66)
oBV, j eBV, j −1
where
is the temperature of the supply air at the end of connecting air supply pipe segment j,
T
oB,j
in K;
is the temperature of the supply air at the beginning of connecting air supply pipe
T
eB,j
segment j, in K.
The flue gas temperature at the end of the concentric connecting flue pipe segment j T shall be calculated
oV,j
using the following equation:
(2 − K )⋅(2 − K )⋅T + 2⋅ K ⋅(E ⋅T − 2⋅T + K ⋅T )
V, j BV, j eV, j V, j V, j eV, j oBV, j BV,j uV, j
T = in K (67)
oV, j
()2 + K ⋅(2 − K ) − 2⋅ K ⋅ E
V, j VB, j V, j V, j
with
&
m⋅c
pV, j
E = (68)
V, j
&
m ⋅c
B pBV, j
where
T is the temperature of the flue gas at the end of connection flue pipe segment j, in K;
oV,j
is the temperature of the flue gas at the beginning of connecting flue pipe segment j,
T
eV,j
in K;
is the temperature of the supply air at the end of the connecting air supply pipe
T
oBV,j
segment j, in K;
T is the temperature of the ambient air of the connecting flue pipe segment j, in K;
uV,j
K
is the coefficient of cooling of connecting flue pipe segment j, in K;
V,j
K is the coefficient of cooling of the connecting air supply pipe segment j, in K;
BV,j
&
m
is the mass flow of the flue gas, in K;
c is the specific heat capacity of the flue gas in connecting flue pipe segment j, in K;
pV,j
&
m
is the mass flow of the supply air, in K;
B
is the specific heat capacity of the supply air in connecting air supply pipe segment j,
c
pBV,j
in K;
is the heat flux ratio between the flue gas and the combustion air in the connecting
E
V,j
flue pipe segment j, in K;
The supply air temperature at the beginning of the concentric connecting air supply pipe segment j T shall
eBV,j
be calculated using following equation:
2
T = T +T −T −()T −T in K (69)
eBV, j eV, j oV, j oBV, j eV, j oV, j
K
V, j
12
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EN 13384-1:2002/A1:2005 (E)
where
is the temperature of the supply air at the beginning of connecting air supply pipe
T
eBV,j
segment j, in K;
is the temperature of the flue gas at the beginning of connecting flue pipe segment j,
T
eV,j
in K;
is the temperature of the flue gas at the end of the flue of the connecting flue pipe
T
oV,j
segment j, in K;
is the temperature of the supply air at the end of connecting air supply pipe segment j,
T
oBV,j
in K;
K is the coefficient of cooling of the flue of connecting flue pipe segment j, i
...
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