Uponor Minitec Calculations & Design R A D I A N T H E AT I N G A N D C O O L I N G
04 | 2015
Calculations & Design Design tables for approximate calculations The design tables allow for quick approximate calculation of the pipe laying distances and maximum heating circuit size. They do however not replace proper planning and calculation of the project. Instructions for the use of the design tables: 1. Select the design table for ϑi = 20°C
2. Select the row of the predefined max. design heat flow density qdes of your project (not for bathrooms!) 3. In this row, select a design flow temperature uV,des 4. Read the required installation distance Vz and the max. heating circuit size AFmax from the table 5. For bathrooms, use the design table for ϑi = 24°C.
Sample reading (heating) Design criteria: Floor covering: carpet Room size AR. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 20 m² Thermal output qH. . . . . . . . . . . . . . . . . . . . . . . . = 60 W/m² Room temperature ϑi. . . . . . . . . . . . . . . . . . . . . = 20 °C Thermal resistance of floor covering Rλ,B. = 0.15 m²K/W Pipe spacing VZ. . . . . . . . . . . . . . . . . . . . . . . . . . . . = 10 cm Chosen flow temperature ϑV, des. . . . . . . = 48 °C
Result: max. surface area per heating circuit Amax. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 11,25 m² Number of heating circuits n. . . . . . . = AR/Amax. n. = 1.7 Resulting mean surface temperature ϑF,m . . . . . . . . . . . . . = 25.7 °C (OK)
Uponor Minitec design tables for 15 mm levelling layer (∆pmax. = 250 mbar) Design table, ϑi = 20 °C , Rλ,B = 0.15 m2K/W (carpet)
ϑF,m [°C]
qH [W/m2]
ϑV,des = 53 °C1) Vz [cm] AFmax. [m2]
ϑV,des = 48 °C Vz [cm] AFmax. [m2]
ϑV,des = 43 °C Vz [cm]
AFmax. [m2]
28.7 28.2 27.3 26.9 26.5 26.1 25.7 25.2 24.8 24.4 23.9
95.9 90.0 80.0 75.0 70.0 65.0 60.0 55.0 50.0 45.0 40.0
5 5 10 10 10 10 10 15 15 15 15
5 5 5 10 10 15 15 15 15
5 10 10 15 15
6.95 9.10 10.85 13.20 15.70
5.20 6.25 8.75 10.05 11.70 12.80 14.20 16.90 18.90 21.00 23.35
5.60 6.60 7.60 9.75 11.25 13.25 15.35 17.55 19.90
The values in the design tables are based on the following key figures: Rλ,ins = 0.75 m2K/W, ϑu = 20 °C, 130 mm concrete floor, spread = 3-30 K, max. heating circuit length = 100 m max. pressure drop per heating circuit including 2 x 5 m connecting lines Δp max = 250 mbar 1) At ϑV > 53 °C, the limit heat flow density and thus the max. floor surface temperature of 29 °C (33 °C for bathrooms) are exceeded.
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U P O N O R M I N I T E C C A LC U L AT I O N S & D E S I G N
Design data The design tables below allow for the fast approximate calculation of the pipe spacing and the maximum
heating circuit size. They do however not replace proper planning and calculation of the project.
Uponor Minitec design tables for 15 mm levelling layer (∆p max. = 250 mbar)
Design table, ϑi = 20 °C , Rλ,B = 0.15 m2K/W
ϑF,m [°C]
qH [W/m2]
ϑV = 53 °C1) Vz [cm] AFmax. [m2]
ϑV = 48 °C Vz [cm] AFmax. [m2]
ϑV = 43 °C Vz [cm]
AFmax. [m2]
28.7 28.2 27.3 26.9 26.5 26.1 25.7 25.2 24.8 24.4 23.9
95.9 90.0 80.0 75.0 70.0 65.0 60.0 55.0 50.0 45.0 40.0
5 5 10 10 10 10 10 15 15 15 15
5 5 5 10 10 15 15 15 15
5 10 10 15 15
6.95 9.10 10.85 13.20 15.70
5.20 6.25 8.75 10.05 11.70 12.80 14.20 16.90 18.90 21.00 23.35
5.60 6.60 7.60 9.75 11.25 13.25 15.35 17.55 19.90
Design table, ϑi = 24 °C , Rλ,B = 0.02 m2K/W
ϑF.m [°C]
qH [W/m2]
ϑV = 53 °C1) Vz [cm] AFmax. [m2]
ϑV = 48 °C Vz [cm] AFmax. [m2]
ϑV = 43 °C Vz [cm]
AFmax. [m2]
32.6 32.2 31.3 30.9 29.7 29.2 28.8 27.9
94.7 90.0 80.0 70.0 60.0 55.0 50.0 40.0
5 5 5 5 5 5 5 5
5 5 5 5 5 5 5 5
5 5 5 5 5 5 5
5.20 6.30 7.50 8.75 9.45 10.15 11.85
8.70 9.15 10.15 11.25 12.55 13.25 14.05 14.50
7.00 7.45 8.45 9.55 10.80 11.50 12.25 14.05
The values in the design tables are based on the following key figures: Rλ,ins = 0.75 m2K/W, ϑu = 20 °C, 130 mm concrete floor, spread = 3-30 K, max. heating circuit length = 100 m max. pressure drop per heating circuit including 2 x 5 m connecting lines Δp max = 250 mbar For other flow temperatures, thermal resistance values, etc. please refer to the design diagram. 1) At ϑV > 53 °C, the limit heat flow density and thus the max. floor surface temperature of 29 °C (33 °C for bathrooms) are exceeded.
U P O N O R M I N I T E C C A LC U L AT I O N S & D E S I G N
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Design tables for 15 mm levelling layer (Δp max. = 100 mbar) with Uponor room control station Design table, ϑi = 20 °C , Rλ,B = 0.15 m2K/W
ϑF,m [°C]
qH [W/m2]
ϑV = 53 °C1) Vz [cm] AFmax. [m2]
ϑV = 48 °C Vz [cm] AFmax. [m2]
ϑV = 43 °C Vz [cm]
AFmax. [m2]
28.7 28.2 27.3 26.9 26.5 26.1 25.7 25.2 24.8 24.4 23.9
95.6 90.0 80.0 75.0 70.0 65.0 60.0 55.0 50.0 45.0 40.0
5 5 10 10 10 10 10 15 15 15 15
5 5 5 10 10 15 15 15 15
5 5 10 10
5.80 6.65 9.00 10.40
3.65 4.35 6.10 7.05 8.05 9.05 10.05 12.00 13.40 14.90 16.60
3.90 4.65 5.40 6.85 7.95 9.35 10.85 12.40 14.10
Design table, ϑi = 24 °C , Rλ,B = 0.02 m2K/W
ϑF,m [°C]
qH [W/m2]
ϑV = 53 °C1) Vz [cm] AFmax. [m2]
ϑV = 48 °C Vz [cm] AFmax. [m2]
ϑV = 43 °C Vz [cm]
AFmax. [m2]
32.6 32.2 31.3 30.5 29.7 29.2 28.8 27.9
94.7 90.0 80.0 70.0 60.0 55.0 50.0 40.0
5 5 5 5 5 5 5 5
5 5 5 5 5 5 5
5 5 5 5 5 5
4.50 5.30 6.20 6.70 7.25 8.45
6.20 6.50 7.20 8.00 8.95 9.45 10.05 11.40
5.30 6.00 6.80 7.70 8.20 8.75 10.00
The values in the design tables are based on the following key figures: Rλ,ins = 0.75 m2K/W, ϑu = 20 °C, 130 mm concrete floor, spread = 3-30 K, max. heating circuit length = 80 m max. pressure drop per heating circuit including 2 x 5 m connecting lines Δp max = 100 mbar For other flow temperatures, thermal resistance values, etc. please refer to the design diagram. 1) At ϑV,des > 53 °C, the limit heat flow density and thus the max. floor surface temperature of 29 °C (33 °C for bathrooms) are exceeded.
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U P O N O R M I N I T E C C A LC U L AT I O N S & D E S I G N
Design diagram heating/cooling Uponor Minitec with 15 mm levelling layer (sü = 4 mm with lü = 1.0 W/mK)
K
K
180
40
35
30
K
25
K
4 mm
Limit curve edge zone Vz 52)
160
20
Vz 10
K
7F 170 -F
120
100
Limit curve comfort zone Vz 51)
∆ϑ H
H =ϑ
–ϑ
5K
i
=1
Vz 10
80
80
10 K
Vz 15
60
8K
6K
40
∆ϑ C = ϑ i –
20
0
5
Vz 1
Thermal resistance Rl,B in [m2 K/W]
0.05 0.10 0.15
5
1 Vz
Vz
10
20
Vz 5 Vz cm 5 10 15
qH W/m2 94.4 82.6 71.8
0
∆ϑH,N K 11.59 12.33 12.91 0
Vz 5
Cooling
40
ϑC = 4 K
Vz 10
Heating
60
Specific cooling output qC [W/m2]
Specific thermal output qH [W/m2]
140
Vz cm 5 10 15
qC W/m2 44.3 38.4 33.3
∆ϑC,N K 8 8 8
0.05 0.10 0.15
1)
Limit curve valid for ϑi20 °C and ϑF, max 29 °C or ϑi 24 °C and ϑF, max 33 °C
2)
Limit curve valid for ϑi 20 °C and ϑF, max 35 °C
Note: According to DIN EN 1264 are baths, showers and toilets not included. The limit curves must not be exceeded. The design supply water temperature must maximum be: ϑV, des = ∆ϑH, g + ϑi + 2.5 K ∆ϑH, g is found by the limit curve for the occupied zone with the smallest pipe spacing. At cooling the supply temperature to be controled by dew point temperature, humidity sensor to be included.
U P O N O R M I N I T E C C A LC U L AT I O N S & D E S I G N
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Pressure drop diagram 400
The pressure losses in the Uponor PE-Xa pipes can be determined with the aid of the diagram
300
m/ s
s
s
m/ s
1
0.
/s
5m
20
s m/
0.2
30
mm
m/
40
1.1
s m/
x 9.9
0.3
50
0.4
60
m/
0.5
80
0 .7
0 .6
100
0.1
. Mass flow rate m in [kg/h]
200
s
m/
10 0.1 0.01
0.2 0.02
0.3 0.03
0.5 0.05
1 0.1
2 0.2
3 0.3
Pressure gradient R
6
4 5 6 7 8 9 0.4 0.5
[mbar/m] [kPa/m]
U P O N O R M I N I T E C C A LC U L AT I O N S & D E S I G N
Uponor Limited (“Uponor�) guarantees [to the original purchaser/ customer] that pipes and fittings sold by it are free of defects in materials or manufacture under normal conditions of use for a period of 25 years and in case of electrical and mechanical products for 2 years from the date of installation. This guarantee only applies to the products stored, installed, tested and operated in accordance with the fitting instructions issued by Uponor and valid at the time the products were installed. Where a claim is made during the guarantee period and products are proven to be defective in materials and/or manufacture at the time of delivery, Uponor will supply replacement products free of charge. This is the exclusive remedy under this guarantee. Uponor disclaims any warranty or guarantee not expressly provided for herein, including any implied warranties of merchantability or fitness for a particular purpose. Uponor further disclaims any and all responsibility or liability for losses, damages and expenses, including special, direct, indirect, incidental and consequential damages, whether foreseeable or not, including without limitation any loss of time or use or any inconvenience arising from the ownership, installation or use of the products sold hereunder. This guarantee does not affect the statutory rights of the consumer.
Copyright Š Uponor (Uponor Limited.) Reproduction of any part of this publication for any purpose is not permitted without the prior written permission of Uponor Limited. The contents of this brochure are provided for guideline only, please consult our technical manuals for full up-to-date information. Uponor reserves the right to alter specifications and operating parameters for all their Underfloor Heating and Plumbing & Heating Systems at any time as part of its policy of continuous product development. Care has been taken to ensure that the information in this price guide is correct at the time of going to press. Uponor Limited reserve the right to alter prices and the details of designs and performance of products without notice. E&OE.
UM_C&D_APRIL_2015
Uponor Limited Head Office The Pavilion, Blackmoor Lane Watford Hertfordshire
T 01923 727000 F E enquiries.uk@uponor.com W www.uponor.co.uk
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