# Implementation of Heat Flux Measuring Methods for Heat Transfer Coefficient Determination of In Situ Construction

^{1}

^{2}

^{3}

^{*}

## Abstract

**:**

_{c}to the real value H

_{r}, which is documented by the measurements. The rate of change of the H value is given by the correction “K”. According to the measurements the value obtained can be corrected from 0.08 to 0.25. The final values of the heat transfer coefficient were generalized in the equation and the value of the building energy category within the energy certification of buildings was determined. The result is a methodology for the optimal determination of H values for hazard prevention.

## 1. Introduction

- to calculate building heat loss; these losses are necessary to determine the design of central heating,
- to evaluate a building to determine the energy criteria; this is known as the technical assessment. This assessment is used for the determination of the minimum requirements for energy economy in buildings. The design evaluation is based on calculations with the application of project documentation and project values, which are calculated for buildings at the design phase; it is the basis for a building permit. The standardized evaluation works with standardized input data about internal and external climate conditions along with input data about the manufacturing of building constructions [21],
- to create the energy certificate of a building and determine its energy classification category [22].

## 2. Materials and Methods

- stationary methods—the measurement of heat flux density passing through the construction (sample) and the measurement of surface temperature in the stabilized heat state,
- dynamic methods—the measurement of the variable thermal field and the reading of values is realized continuously (non-stationary conditions).

- protected heat plate method,
- heat flux measuring method,
- heat isolation on the circular pipeline method,
- contact dynamic methods for measuring thermal–physical parameters,
- calorific wire and calorific belt method,
- needle and planar probe method,
- heat case method, etc.

#### Problem Formulation

- from documentation such as the original project documentation, the records,
- the building diary, cards and markings of the construction (insulating glass) etc., which are possible to obtain by contacting the ex-realizer of the building,
- from visual inspection and measurement of the geometrical parameters such as the wall thickness, for example the wall material under the fallen plaster,
- from experiences such as the composition of construction according to building time and technologies,
- from the determination of composition by destructive methods such as by probe into the composition of the building and material sample collection,
- from the measurement of technical heat properties of the construction by devices, e.g., the non-destructive methods (stated in the following part of this article),
- a combination of the aforementioned previous methods.

_{si}—resistance during the heat transfer on the interior surface of the construction

^{2}.K/W],

_{o}—original heat resistance of the construction [m

^{2}.K/W],

_{n}—new heat resistance of the construction [m

^{2}.K/W],

_{se}—resistance during the heat transfer on the exterior surface of construction

^{2}.K/W],

_{i}—thermo–physical property of the materials [W/m.K].

_{i}) and thermo–physical properties of the materials (λ

_{i}). These two parameters are important in the field of diagnostics.

- the hazards related to the realization of the method and the determination of the H value—these facts are stated in the following part of article,
- the hazards related to the value determination of the time coefficient—the change of H value by operational conditions; it is established that the H value can change due to environmental factors such as the humidity in the construction (condensational zones can impact the thermal conductivity coefficient ʎ) and the influence of environmental physical factors such as noise [25]. These could result in an error in categorizing the building.

## 3. Calculation

#### 3.1. Measurement and Calculation of the H Value Using the Heat Flux Measuring Method for Non-Stationary Conditions

^{2}of construction at a unit difference between the temperature of the internal and external environments. It is a very important quantity in determining the energy properties of a building and it can be determined from measured values (experimental values) according to the following equations [26]:

^{2}],

_{ai}−θ

_{ae}—quantity of air temperature on the internal and external side of construction [K],

^{2}.K],

_{i}, h

_{e}—coefficients of heat transmission on the internal and external side of construction, respectively.

- The plate for measuring the heat flux density is situated on the inner side of the building construction in the line of heat flux and consists of two probes for temperature measuring—it is used for the calculation of Equation (5).
- The plate for measuring the heat flux density is situated on the inner side of the building construction in the line of heat flux and consists of two probes for surface temperature measuring on the internal and external side of the building construction—Equations (6) and (7).
- The plate for measuring the heat flux density consists of four probes for measuring temperature according to the above-mentioned points.

#### 3.2. Example of Value Determination at the Transparent and Non-Transparent Construction (Measurement and Calculation According to the Alternative, No. 1)

- Value changes of heat flux density are more dynamic at the sealed unit of the window as opposed to at the panel BA NKS. This state is related to higher accumulation capability of the wall in response to temperature fluctuations in the exterior (for a given measured time it was the temperature fluctuations from −8.67 °C to −14.29 °C).
- Measuring during the night was more reliable—the calculated values approximate to reality (projected values) much more as during the day there is an impact of several environment several that affected the accuracy of the measured values.

#### 3.3. Example of Value Determination at the Transparent Construction by the Two Methods (Measurement and Calculation According to the Alternatives, No. 1, 2)

#### 3.4. Experimental Determination of the Value H_{g} by the Method of Heat Flow Measurement In Situ

_{i}—air temperature, inside [°C],

_{e}—air temperature, outside [°C],

_{si}—wall temperature, inside surface [°C],

_{se}—wall temperature, outside surface [°C],

^{2}],

^{2}],

^{2}],

_{1}by difference of environmental temperatures between the interior and the exterior,

_{2}added by transformation of sound energy to heat energy in the window glazing,

_{3}added by radiant thermal component from artificial light on the window glazing,

## 4. Recommended Measuring Method

- Measuring system—devices (accuracy, calibration).
- Subject—human (manipulation technique with devices, evaluation of measured values, measuring conditions).
- Environment—the right selection of measuring position (without the environment influences such as radiant heat, sound, artificial illumination).
- Measuring time, length of measurement and measuring cycles during the continuous measurement.

- Preparation of measurement—study of the assessed building, room and types of constructions when the measurements are taken. This is to ensure the stabilization of the temperature of the internal spaces, accessibility to the measuring surfaces and the possibility of the placing of sensors for taking measurements in the exterior of the building.
- Realization of measurement—the measurements were realized in accordance with required marginal conditions; the temperature differences between the exterior and interior were twenty Kelvins minimum. The determination of the H parameter was problematic in the construction where there was not a heated room (it was not the heat flux between the two environments).
- After the analysis of the building construction types, suitable positions needed to be determined where the measurements would be taken. The suitability of positions was ascertained because the construction should be homogeneous without any thermal or form bridges (Figure 7). It was possible to determine this using a thermal imaging camera.
- It was advisable to carry out the measuring when the heat fluxes were stabilized without the external and internal effects in the constructions. It was suitable to measure during the night or early morning. It was necessary to eliminate the impacts of the environment which could influence the concrete measurement—Figure 8.
- Provision of suitable cooperation between the construction and the sensors.
- Drawing up of the data file of the measurements followed by statistical evaluation.

## 5. Results and Discussion

_{g}(Table 4). These differences are presented in the following table (Table 5), according to Equation (1). These results are based on the condition—H

_{g}= 1.1, which was declared by the maker of the insulation glazing. This condition was stated on the internal side of the distance frame between the two panels of glazing. The type of insulation glazing was PLU 4-16-4 mm with argon glazing panel. In addition the mentioned value was the calculated value. This value is stated in the standard STN 73 0540-3.

- The real values of the heat transfer coefficient H
_{g}on the window glazing are higher (by around 8.8%) than the declared values under the optimal conditions (without the influence of the environment factors—e.g., noise, light sources). This fact is influenced by degradation processes such as commission time of the window (the measured sample was eight years old) and the other climatic factors. In addition, the design and the join stress quality of the glass, along with the distance of the frame, were important. These can cause argon leakage and a decrease in the insulation qualities of the glazing. - The increase in H
_{g}(from 9.54% to 19.08% against the calculated value on average) wats caused by the effect of the infrared element from the sources of artificial light. The increase in H_{g}was dependent on the type of artificial light source and the distance between the source and the glazing. - The increase in H
_{g}(from 25.45% on average) was caused by the effect of the sound pressure level on the front of the glazing (L = 75 dB). - The increase in H
_{g}(by 9.54% on average) was caused by the collective influence, which was lower during the insulation effects of the sources.

_{g}value increased due to the influence of internal factors (artificial light and noise). This fact was disadvantageous for the insulation properties of the construction—window glazing. The factors from the exterior also had an impact on the H

_{g}value [29].

- changes of values occur during the time of the experiment, e.g., the H value was worse in the window glazing due to the wear of window (deformation, wind actions). The H value of the solid walls and roof may have been aggravated by the internal condensation of the structures,
- the H value has an influence on other environmental factors (radiations, noise) thus it was suitable to realize the measurements according to the recommended rules which are presented in this article.

## 6. Conclusions

- the influence on the building construction amortization and its operation and the possible changes of thermal insulation properties
- the influence of the environmental factors (noise, radiation—artificial light, etc.)
- the influence of measurement errors such as systematic error—during the violation of the measuring method, the measuring instrument was not calibrated; random error—instantaneous conditions of measurement and gross errors are caused by human mistakes.

_{c}—determined by values according to STN 73 0540

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Conflicts of Interest

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**Figure 2.**Graphical representation of heat flux density course and temperatures on the window glazing of peripheral wall BA NKS.

**Figure 4.**View of the used disc (type of disc was FQ A018C + ZA 9007-FS) in the measuring system ALMEMO 2290-8 of the company Ahlborn and the sound analyzer Investigator 2260 of the company B&K.

**Figure 5.**Outputs from the measurement of parameters on the glazing when exposed to the noise source.

**Figure 6.**Outputs from the evaluation of the value H

_{g}on the glazing (hick line) when exposed to the noise source.

**Figure 7.**Checking the correctness of measured fragments using a thermal imaging camera—hidden thermal bridges for construction.

**Figure 8.**Influence of the surface condensation on the window glazing during the measurement of heat flow.

**Table 1.**Advantages and disadvantages of the d iagnostic methods related to buildings in the determination of the H value.

Diagnostic Method | Advantages | Disadvantages |
---|---|---|

Determination from documentation. | Simple and fast. | Possibility of changes. |

Visual inspection. | Additional methods. | It is not possible to establish the exact material structure. |

Application of experiences. | Fast assumption for the determination of composition. | Possibility of incorrect conclusion. |

Destructive methods. | Finding out the exact material structure, the possibility of sample collection for analysis. | Laboriousness, disruption ofconstruction homogeneity, possibility of roof leaking. |

Non-destructive methods. | Accuracy of finding out the actual values by measuring or calculation. | Relation to devices, dependence on marginal conditions of measurement and object running. |

Combined methods. | Possibility of combination according to real situation | Various degrees of accuracy. |

Building Construction H Value | |||
---|---|---|---|

Calculated Values | Insulated Sealed Unit | BA NKS Panel | |

Total measurement. | Maximal value of H. | 1.33 | 0.76 |

Minimal value of H. | 0.93 | 0.56 | |

Arithmetic mean. | 1.2 | 0.65 | |

Median. | 1.21 | 0.66 | |

Standard deviation. | 0.081 | 0.046 | |

Variation coefficient %. | 6.78 | 7.61 | |

Measuring during the night. | Arithmetic mean. | 1.12 | 0.67 |

Measuring during the day. | Arithmetic mean. | 1.22 | 0.59 |

Insulated Sealed Unit | |||
---|---|---|---|

No. | Calculated values. | H | Λ |

Total measurement | Maximal value of H. | 1.73 | 2.26 |

Minimal value of H. | 1.07 | 1.40 | |

Arithmetic mean. | 1.18 | 1.54 | |

Standard deviation. | 0.049 | 0.067 | |

Variation coefficient %. | 4.2 | 4.35 | |

H calculation according to Equations (6) and (7). | 1.22 |

Number of Measurement | Description of Influence of Environmental Factors | Determined Value H_{g} | |
---|---|---|---|

Min H_{g} | Max H_{g} | ||

42 | Without the influences of environmental factors—middle of the window glazing 0.6 × 1.5 m, insulating double glass. | 1.135 | 1.26 |

34 | With the influence of noise (vacuum cleaner L = 76 dB). | 1.27 | 1.49 |

40 | With the influence of artificial lighting—reflector. | 1.15 | 1.26 |

37 | With the influence of noise and lighting (vacuum cleaner + reflector). | 1.17 | 1.45 |

41 | With the influence of artificial lighting (60W bulb). | 1.155 | 1.22 |

36 | With the influence of noise and lighting (vacuum cleaner + 60 W bulb). | 1.18 | 1.33 |

**Table 5.**Determination of the difference between the real value (H

_{g}) from the measurements and the calculated value H

_{g}= 1.1.

Operating Conditions | Min. Value of ΔH | Max. Value of ΔH | Scatter of ΔH Residuum Growth [%] | Average of ΔH Residuum Values [%] |
---|---|---|---|---|

Regular without effect of outside influences (measurement No. 42). | 0.035 | 0.16 | 3.18–14.54 | 8.86 |

Noise effect on glazing (L = 76 dB) (measurement No. 34). | 0.17 | 0.39 | 15.45–35.45 | 25.45 |

Noise effect on glazing (L = 76 dB) (measurement No. 34). | 0.05 | 0.16 | 4.54–14.54 | 9.54 |

With the influence of noise and lighting (vacuum cleaner + reflector) (measurement No. 37). | 0.07 | 0.35 | 6.36–31.81 | 19.08 |

With the influence of artificial lighting (60W bulb) (measurement No. 41). | 0.05 | 0.12 | 4.54–10.9 | 7.72 |

With the influence of noise and lighting (vacuum cleaner + 60 W bulb) (measurement No. 36). | 0.08 | 0.13 | 7.27–11.81 | 9.54 |

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**MDPI and ACS Style**

Flimel, M.; Duplakova, D.; Sukic, E.
Implementation of Heat Flux Measuring Methods for Heat Transfer Coefficient Determination of In Situ Construction. *Processes* **2021**, *9*, 1970.
https://doi.org/10.3390/pr9111970

**AMA Style**

Flimel M, Duplakova D, Sukic E.
Implementation of Heat Flux Measuring Methods for Heat Transfer Coefficient Determination of In Situ Construction. *Processes*. 2021; 9(11):1970.
https://doi.org/10.3390/pr9111970

**Chicago/Turabian Style**

Flimel, Marian, Darina Duplakova, and Enes Sukic.
2021. "Implementation of Heat Flux Measuring Methods for Heat Transfer Coefficient Determination of In Situ Construction" *Processes* 9, no. 11: 1970.
https://doi.org/10.3390/pr9111970