Calculation of heating value

Inhaltsverzeichnis

I Heating value.

1. Procedure

2. Protocol

3. Calculation.

3.1 Specific heat of combustion Ho,n

3.2 Heating value.

II.  Gas boiler

1. Efficiency and power

2.Equipment

3. Documentation

4. Calculations

4.1 Heating power

4.2 Heating power

4.3 Calculated efficiency

4.4 Stack loss

4.5 Combustion efficiency

5. Discussion

III Appendices

1. Measured values

1.1 Heating value

1.2 Gas boiler

I Heating value

1. Procedure

The heating value of a material is measured using the following system:

The sample of natural gas is passed through a wet gas meter for measuring and humidifying before being burned.

The air for combustion is also humidified before combustion.

The air and natural gas are then mixed in the Junkers Calorimeter and burned.

The exhaust gas is passed through a cooling spiral in the calorimeter and cooled to ambient temperature. The heat produced during combustion is passed completely into the coolant. The water formed during combustion is also condensed and measured.

2. Protocol

The following values are measured every 60 seconds for a period of 10 minutes:

The coolant is collected in a bucket during the test and weighed afterwards. The gas meter is read before the test and after 10 minutes. The quantity of condensate at the end of the test is also noted.

3. Calculation

3.1 Specific heat of combustion Ho,n

The First Law gives for Ho,n:

First Law of Thermodynamics

Partial pressure of water P s,H2O

Partial pressure of water

Gas pressure Pg:

Gas pressure

Converting the volume to STP using the ideal gas formulae:

Conversion to STP

Calculation of  cpmw:

Calculation of energy transfer

Specific heat of combustion:

Calculation fo specific heat of combustion

3.2 Heating value

The heating value is the specific heat of combustion less the specific heat of evaporation for the condensate.

Calculation of heating value from specific heat of combustion

II.  Gas boiler

1. Efficiency and power

This is the measurement of stated heating power and efficiency of a domestic gas boiler, together with the losses due to heat and chemical inefficiency.

2.Equipment

The gas boiler used was a  standard household boiler from Junkers/Wernau.

Gas and air pass into the unit and are burnt there. The flue gas passes out through a chimney.

Part of the water circulation system lies above the combustion chamber. This is kept in motion by a circulation pump, which is also part of the gas boiler.

The heat produced is sent to various heat consumers in the laboratory (radiators, heat exchangers).

3. Documentation

The following values are recorded every minute for 10 minutes for calculation of heat output, efficiency and stack losses:

-         Gas temperature ΘGas

-         Water outlet temperature Θvl

-         Water inlet temperature Θrl

-         Ambient temperature Θa

-         Flue gas temperature Θrg

-         O2 level in flue gas ΨO2

-         Gas gauge pressure Pgas

-         Ambient pressure Pa

-         Time Δt

The following meter readings are recorded at the beginning and end of the period:

-         Gas ΔVgas

-         Coolant Vkw

Flue gas temperature, ambient temperature and CO2 content are recorded with a flue gas analyser.

4. Calculations

4.1 Heating power

The heating power is calculated as follows:

Heating power

Heating power Calculation fo Cpw

    

Heating power for the gas

ρ(Sw) and cpm values are taken from standard tables.

4.2 Heating power

CalculationCalculation

heating power

Hu,n taken from the calculation of heating value

4.3 Calculated efficiency

Combustion efficiency from calculation

4.4 Stack loss

Stack loss

4.5 Combustion efficiency

Measured combustion efficiency

The practical measurement and evaluation of combustion efficiency is described more fully on the linked page, and the calculations carried out by a combustion analyzer to determine stack loss, combustion efficiency and other combustion parameters are to be found in the section on calculations.

5. Discussion

The value Hu,n for heating value was used in the calculation of heating power, taking over any errors.

The values for cpm are very close together due to the slight rise of the curve at this point. This reduces the accuracy with which they can be read. Heat transfer would be larger if the coolant water could be reduced to room temperature. This would also increase ΔΘ and hence reduce the effects of inexact readings from the curve.

III Appendices

1. Measured values

1.1 Heating value

 

t [min]
Vgas [m³]
Θgas [°C]
Water column [mm]
Θluft [°C]
 Θwein [°C]
Θwaus [°C]
mw [kg]
Θrgas [°C]
Vkondensat [ml]
p∞ [bar]
0
3.4295
19
35
11.5
10.6
25.8
0
15
0
1
19.5
35
11.4
10.6
25.8
15
2
19.5
35
11.4
10.6
25.8
15
3
19.5
35
11.3
10.6
25.8
15
4
19.5
35
11.3
10.6
25.8
15.1
5
19.5
35
11.2
10.6
25.8
8.26
15
6
20
35
11.3
10.6
25.8
15
7
20
35
11.2
10.6
25.8
15
8
20
35
11.3
10.6
25.8
15
9
20
35
11.4
10.6
25.8
15
10
4.45785
20
35
11.3
10.6
25.8
8.28
15
42
Average
19.682
35
11.327
10.6
25.8
15.009
1.0048
Total
0.028350
16.54
42

1.2 Gas boiler

 

t [min]
Vgas [m³]
Θgas [°C]
Vkw [m³]
Θvl [°C]
 Θrl [°C]
Θluft [°C]
Θrg [°C]
ΨO2 [vol%]
Pgas [ml]
p∞ [bar]
0
2518.9135
21
62.89
81.2
71.5
21
176.6
3.6
0.015
1
81.2
71.5
2
21.2
81.3
71.6
0.016
3
81.3
71.7
21.7
174.4
3.5
4
21.3
81.4
71.7
5
81.4
71.7
0.016
6
21.3
81.4
71.7
21.4
172.6
3.5
7
81.4
71.7
8
21.3
81.5
71.8
0.016
9
81.5
71.8
10
2519.284
21.3
63.151
81.5
71.8
21.3
172.5
3.5
0.016
Average
21.233
81.373
71.682
21.35
174.025
0.0158
1.0048
Total
0.3705
0.261

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