# P&K KFA (VDI 3781 part 4)

## Sample Report (Log)

﻿ P:\Builds\P&K KFA\Samples\vdi_A1.kfa

# Sample A 1 from the guideline. Real building ensemble

## Calculation for the exhaust gas discharge system 'X1'

### Details for building 'House 1' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh-2.10 m
Ridge heightHFirst11.50 m
Eaves height (Figure 4)HTraufe7.50 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.00 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.70 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a0.06 m
Roof pitch angle (Figure 4)α30.84 °
Roof pitch correction (interpolated with table 2)γ0.56 °
Factor for determining H2 (interpolated with table 2)f0.69
Height of recirculation zone for distance a to ridge (Equation 1)H10.04 m
Maximum height of the recirculation zone (Equation 2)H22.76 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS10.04 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ18.20 m
Effective length of an upstream building (Equation 16, Figure 8)leff13.44 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β89.87 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA17.52 m
Height of the outlet required by the upstream buildings
over the ridge of 'House 3' (Equation 17, Figure 8)
HS2-8.64 m

### Details for building 'House 2' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst6.80 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.40 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.35 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a30.78 m
Roof pitch angle (Figure 4)α28.17 °
Roof pitch correction (interpolated with table 2)γ0.00 °
Factor for determining H2 (interpolated with table 2)f0.73
Height of recirculation zone for distance a to ridge (Equation 1)H116.48 m
Maximum height of the recirculation zone (Equation 2)H22.47 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.47 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ13.07 m
Effective length of an upstream building (Equation 16, Figure 8)leff10.30 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β6.58 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA24.59 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 3' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst10.40 m
Eaves height (Figure 4)HTraufe6.70 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.70 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv5.65 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a0.00 m
Roof pitch angle (Figure 4)α33.22 °
Roof pitch correction (interpolated with table 2)γ2.15 °
Factor for determining H2 (interpolated with table 2)f0.66
Height of recirculation zone for distance a to ridge (Equation 1)H10.00 m
Maximum height of the recirculation zone (Equation 2)H22.43 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS10.00 m

### Details for building 'House 4' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst7.00 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.60 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv4.95 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a35.01 m
Roof pitch angle (Figure 4)α36.03 °
Roof pitch correction (interpolated with table 2)γ4.02 °
Factor for determining H2 (interpolated with table 2)f0.62
Height of recirculation zone for distance a to ridge (Equation 1)H121.88 m
Maximum height of the recirculation zone (Equation 2)H22.23 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.23 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ17.55 m
Effective length of an upstream building (Equation 16, Figure 8)leff15.63 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β37.46 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA37.87 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 5' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh1.70 m
Ridge heightHFirst11.00 m
Eaves height (Figure 4)HTraufe6.10 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.90 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv7.80 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a6.22 m
Roof pitch angle (Figure 4)α32.14 °
Roof pitch correction (interpolated with table 2)γ1.42 °
Factor for determining H2 (interpolated with table 2)f0.67
Height of recirculation zone for distance a to ridge (Equation 1)H13.69 m
Maximum height of the recirculation zone (Equation 2)H23.29 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS13.29 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ23.68 m
Effective length of an upstream building (Equation 16, Figure 8)leff19.54 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β76.37 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA16.83 m
Height of the outlet required by the upstream buildings
over the ridge of 'House 3' (Equation 17, Figure 8)
HS21.35 m

### Height of recirculation zones for the upstream buildingsat the outlet system 'X1' over ridge 'House 3'

Name of the buildingHeight of recirculation zone HS2
House 1-8.64 m
House 2--
House 4--
House 51.35 m

### Calculation for the outlet 'X1' on building 'House 3'All heights over ridge

QuantityValue
Parameter for solid fuel combustion. Nominal heat output: 15 kW
Additive term HÜ (Table 1)0.40 m
Outlet height above reference level HB (Table 3)1.00 m
Radius of exposure zone R (Table 3)15.00 m
Outlet building
Required outlet height for outlet building
HA1=HS1+HÜ (Equation 4)
0.40 m
Upstream buildings
Highest recirculation zone from an upstream building
HA2=HS2+HÜ (Equation 19)
1.75 m
Required outlet height for undisturbed removal
HA=max(HA1,HA2) (Figure 2))
1.75 m
Exposure zone
Highest air intake in exposure zone R
HF
-10.40 m
Required outlet height for adequate dilution
HE=HF+HB
-9.40 m

Height of exhaust gas discharge system
HM=max(HA,HE) over the ridge
1.8 m

# Sample A 1 from the guideline. Real building ensemble

## Calculation for the exhaust gas discharge system 'X2'

### Details for building 'House 1' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh-2.10 m
Ridge heightHFirst11.50 m
Eaves height (Figure 4)HTraufe7.50 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.00 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.70 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a5.71 m
Roof pitch angle (Figure 4)α30.84 °
Roof pitch correction (interpolated with table 2)γ0.56 °
Factor for determining H2 (interpolated with table 2)f0.69
Height of recirculation zone for distance a to ridge (Equation 1)H13.33 m
Maximum height of the recirculation zone (Equation 2)H22.76 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.76 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ21.61 m
Effective length of an upstream building (Equation 16, Figure 8)leff16.88 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β77.79 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA17.83 m
Height of the outlet required by the upstream buildings
over the ridge of 'House 3' (Equation 17, Figure 8)
HS2-4.44 m

### Details for building 'House 2' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst6.80 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.40 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.35 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a25.13 m
Roof pitch angle (Figure 4)α28.17 °
Roof pitch correction (interpolated with table 2)γ0.00 °
Factor for determining H2 (interpolated with table 2)f0.73
Height of recirculation zone for distance a to ridge (Equation 1)H113.46 m
Maximum height of the recirculation zone (Equation 2)H22.47 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.47 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ13.38 m
Effective length of an upstream building (Equation 16, Figure 8)leff10.63 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β8.26 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA18.98 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 3' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst10.40 m
Eaves height (Figure 4)HTraufe6.70 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.70 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv5.65 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a5.65 m
Roof pitch angle (Figure 4)α33.22 °
Roof pitch correction (interpolated with table 2)γ2.15 °
Factor for determining H2 (interpolated with table 2)f0.66
Height of recirculation zone for distance a to ridge (Equation 1)H13.40 m
Maximum height of the recirculation zone (Equation 2)H22.43 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.43 m

### Details for building 'House 4' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst7.00 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.60 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv4.95 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a29.36 m
Roof pitch angle (Figure 4)α36.03 °
Roof pitch correction (interpolated with table 2)γ4.02 °
Factor for determining H2 (interpolated with table 2)f0.62
Height of recirculation zone for distance a to ridge (Equation 1)H118.35 m
Maximum height of the recirculation zone (Equation 2)H22.23 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.23 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ17.54 m
Effective length of an upstream building (Equation 16, Figure 8)leff15.61 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β42.30 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA33.01 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 5' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh1.70 m
Ridge heightHFirst11.00 m
Eaves height (Figure 4)HTraufe6.10 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.90 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv7.80 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a1.47 m
Roof pitch angle (Figure 4)α32.14 °
Roof pitch correction (interpolated with table 2)γ1.42 °
Factor for determining H2 (interpolated with table 2)f0.67
Height of recirculation zone for distance a to ridge (Equation 1)H10.87 m
Maximum height of the recirculation zone (Equation 2)H23.29 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS10.87 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ21.03 m
Effective length of an upstream building (Equation 16, Figure 8)leff16.53 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β87.07 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA19.47 m
Height of the outlet required by the upstream buildings
over the ridge of 'House 3' (Equation 17, Figure 8)
HS2-3.30 m

### Height of recirculation zones for the upstream buildingsat the outlet system 'X2' over ridge 'House 3'

Name of the buildingHeight of recirculation zone HS2
House 1-4.44 m
House 2--
House 4--
House 5-3.30 m

### Calculation for the outlet 'X2' on building 'House 3'All heights over ridge

QuantityValue
Parameter for solid fuel combustion. Nominal heat output: 15 kW
Additive term HÜ (Table 1)0.40 m
Outlet height above reference level HB (Table 3)1.00 m
Radius of exposure zone R (Table 3)15.00 m
Outlet building
Required outlet height for outlet building
HA1=HS1+HÜ (Equation 4)
2.83 m
Upstream buildings
Highest recirculation zone from an upstream building
HA2=HS2+HÜ (Equation 19)
-2.90 m
Required outlet height for undisturbed removal
HA=max(HA1,HA2) (Figure 2))
2.83 m
Exposure zone
Highest air intake in exposure zone R
HF
-10.40 m
Required outlet height for adequate dilution
HE=HF+HB
-9.40 m

Height of exhaust gas discharge system
HM=max(HA,HE) over the ridge
2.8 m

# Sample A 1 from the guideline. Real building ensemble

## Calculation for the exhaust gas discharge system 'X3'

### Details for building 'House 1' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh-2.10 m
Ridge heightHFirst11.50 m
Eaves height (Figure 4)HTraufe7.50 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.00 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.70 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a0.20 m
Roof pitch angle (Figure 4)α30.84 °
Roof pitch correction (interpolated with table 2)γ0.56 °
Factor for determining H2 (interpolated with table 2)f0.69
Height of recirculation zone for distance a to ridge (Equation 1)H10.12 m
Maximum height of the recirculation zone (Equation 2)H22.76 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS10.12 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ18.27 m
Effective length of an upstream building (Equation 16, Figure 8)leff13.50 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β89.67 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA25.67 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 2' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst6.80 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.40 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv6.35 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a30.93 m
Roof pitch angle (Figure 4)α28.17 °
Roof pitch correction (interpolated with table 2)γ0.00 °
Factor for determining H2 (interpolated with table 2)f0.73
Height of recirculation zone for distance a to ridge (Equation 1)H116.56 m
Maximum height of the recirculation zone (Equation 2)H22.47 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.47 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ15.25 m
Effective length of an upstream building (Equation 16, Figure 8)leff12.82 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β20.72 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA26.28 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 3' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst10.40 m
Eaves height (Figure 4)HTraufe6.70 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.70 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv5.65 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a0.00 m
Roof pitch angle (Figure 4)α33.22 °
Roof pitch correction (interpolated with table 2)γ2.15 °
Factor for determining H2 (interpolated with table 2)f0.66
Height of recirculation zone for distance a to ridge (Equation 1)H10.00 m
Maximum height of the recirculation zone (Equation 2)H22.43 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS10.00 m

### Details for building 'House 4' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh0.00 m
Ridge heightHFirst7.00 m
Eaves height (Figure 4)HTraufe3.40 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach3.60 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv4.95 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a35.16 m
Roof pitch angle (Figure 4)α36.03 °
Roof pitch correction (interpolated with table 2)γ4.02 °
Factor for determining H2 (interpolated with table 2)f0.62
Height of recirculation zone for distance a to ridge (Equation 1)H121.98 m
Maximum height of the recirculation zone (Equation 2)H22.23 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS12.23 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ17.34 m
Effective length of an upstream building (Equation 16, Figure 8)leff15.33 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β27.98 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA34.21 m
The exhaust gas discharge system is outside the recirculation zoneHS20.00 m

### Details for building 'House 5' - Symmetric pitch roof α ≥ 20°

QuantityParameterValue
Height of ground over origin of coordinates (Section 6.2.4, Figure 10)Δh1.70 m
Ridge heightHFirst11.00 m
Eaves height (Figure 4)HTraufe6.10 m
Actual roof height (Figure 4, Section 6.2.1.2.2)HDach4.90 m
Width of half of the gable end opposite the outlet.
For symmetric roof this will be b/2 else b
bLuv7.80 m
Horizontal distance between the center of the outlet cross-section
and the ridge (Figure 4)
a1.78 m
Roof pitch angle (Figure 4)α32.14 °
Roof pitch correction (interpolated with table 2)γ1.42 °
Factor for determining H2 (interpolated with table 2)f0.67
Height of recirculation zone for distance a to ridge (Equation 1)H11.06 m
Maximum height of the recirculation zone (Equation 2)H23.29 m
Calculated height of exhaust gas discharge system over ridge (Equation 3)HS11.06 m
Horizontal extend of the recirculation zone (Equation 15, Figure 8)lRZ21.71 m
Effective length of an upstream building (Equation 16, Figure 8)leff17.28 m
Angle between the gable side of the upstream building and
the line to exhaust gas discharge system (Section 6.2.2.1, Figure 8)
β84.60 °
Horizontal distance of the exhaust gas discharge system
from the upstream building (Figure 8)
lA9.57 m
Height of the outlet required by the upstream buildings
over the ridge of 'House 3' (Equation 17, Figure 8)
HS24.13 m

### Height of recirculation zones for the upstream buildingsat the outlet system 'X3' over ridge 'House 3'

Name of the buildingHeight of recirculation zone HS2
House 1--
House 2--
House 4--
House 54.13 m

### Calculation for the outlet 'X3' on building 'House 3'All heights over ridge

QuantityValue
Parameter for solid fuel combustion. Nominal heat output: 15 kW
Additive term HÜ (Table 1)0.40 m
Outlet height above reference level HB (Table 3)1.00 m
Radius of exposure zone R (Table 3)15.00 m
Outlet building
Required outlet height for outlet building
HA1=HS1+HÜ (Equation 4)
0.40 m
Upstream buildings
Highest recirculation zone from an upstream building
HA2=HS2+HÜ (Equation 19)
4.53 m
Required outlet height for undisturbed removal
HA=max(HA1,HA2) (Figure 2))
4.53 m
Exposure zone
Highest air intake in exposure zone R
HF
-0.10 m
Required outlet height for adequate dilution
HE=HF+HB
0.90 m

Height of exhaust gas discharge system
HM=max(HA,HE) over the ridge
4.5 m