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Historically
valuable interiors require special attention in terms of the indoor
environmental quality, especially hydrothermal parameters play a significant
role. Relative humidity value and its fluctuation over the time have a
fundamental influence on the preservation of the cultural monuments. Other
important parameters are air temperature and surface temperature.
Unfortunately, in many cases, these parameters lie far beyond the tolerance
zone. In the most common cases, these interiors contend with unacceptably high
relative humidity level caused by structural problems, as well as
moisture-producing occupants.
Historic
interiors contain hygroscopic materials whose moisture content is directly
dependent on the relative humidity of the surrounding air [2]. Changes in the
relative humidity of the ambient air lead to a decrease or increase of moisture
content of the materials and can cause irreversible damage to the material [3].
The ideal problem solving could be to install air conditioning systems that can
maintain the exact require parameters. However, this solution is unacceptable
in terms of operational cost and often difficult to implement for many objects
[4]. In this case, the use of adaptive ventilation is provided. Natural
ventilation with correct definition of the algorithm can lead to improvement of
the indoor parameters with minimal energy input.
The paper
presents a simplified numerical design model describing actual behaviour of the
object in the corresponding detail. The goal of this model is to find a
suitable algorithm, able to indicate proper time and regulation of natural
ventilation (e.g. window opening). The aim of the paper is to verify the
hypothesis that the quality of indoor environment can be improved by applying a
suitable adaptive ventilation algorithm.
The
Pilgrimage Chapel of the Holy Stairs (Figure 1) is part of the important cultural
monument called Loreto, in Rumburk in the north of
the Czech Republic. Since 2014, it has been included among the significant
places on the “Via Sacra” Pilgrims’ Way. Although the chapel has recently
undergone extensive reconstruction, the interior shows signs of damage due to
the high level of air moisture. In order to understand the overall airflow and
moisture movement in the chapel, the monitoring of hydrothermal parameters was
carried out between 8 November and 20 June. The results of analysis which
evaluated the measures data were described in publication [5] and confirm the
assumption of the moisture supplying from the adjacent corridor. From the
previous analysis it is possible to assume that adaptive ventilation would have
a beneficial effect on the reduction of moisture in the chapel.
Figure 1.
The Pilgrimage chapel of Holy stairs [10]. Frost on the frescoes leading to
damages.
The key
factor to ensure appropriate internal environment consists mainly in a moisture
balance between hydroscopic material in the interior and ambient air, where the
change in the specific humidity of materials reflects on their dimension. Exposing
the interior to air with high relative humidity causes a volume increase of
material and, thus, its destruction. On the other hand, constant natural
ventilation leads to significant fluctuation in relative humidity, causing
damages due to the frequent shrinkage and increased volume of the materials
[7]. Adaptive ventilation takes into account the change in air temperature and
level of air moisture in the exterior and interior and, based on the evaluation
of the current condition, recommends the supply of fresh air. Adaptive
ventilation cannot replace full air control system, which is used for accurate
environmental management. It only tries to improve the condition from not
satisfying to yet acceptable.
Parameters
of the indoor environment for historical interior are defined in the ASHRAE
standard [1], which divides the indoor environment into several categories
according to the degree of preservation risk. An acceptable risk is defined by
values with ±10% RH and ±5 K deflection from ideal values of 50% RH
and 20°C. Extremely high risk is defined for relative humidity values higher
than 75% [1]. At the same time, it is necessary to check the maximum
fluctuation during the day, when critical values are considered those with a
larger difference than 15% RH throughout the day.
Historic
buildings are characterized by massive structures with high heat and moisture
accumulation capabilities which are characterized by frequent occurrence of
condensation. This phenomenon occurs especially during the transition period,
when humid exterior air condenses on the still cold surface of the walls.
The total
heat energy of the space is influenced by the heat fluxes shown in Figure 2. The law of energy conservation expresses that heat fluxes have to
always be in equilibrium with the total heat energy of the space.
Figure 2.
Heat flux diagram in space.
Thermal
equilibrium is valid at each time step. For this reason, it is possible to say
that total energy of space at time τ (x-1) with the count of all heat fluxes is equal to the total thermal energy
of the space at time τ (x).
The heat balance of the
space can be written according to formula (1).
| (1) |
Where:
Qtotal | total thermal energy of the space [J] |
Qtrans | thermal energy supplied to the interior based of the transmission
structure [J] |
Qinf | thermal energy including infiltration and ventilation [J] |
Qaccu | thermal energy including heat accumulated in structures [J] |
Qsource | thermal energy including all added heat sources (occupants, heating, …) [J] |
Qsolar | thermal energy including heat from solar radiation [J] |
Different
methods can be used to model buildings’ behaviour. Most of the software
available on the market (eg. DesignBuilder,
WUFI, etc.) work on the principle of explicit method, when parameters of object
properties are known and behaviour of the object can be calculated. In cases
when building behaviour is known and some of input parameters are missing,
regression method is used. One of the regression methods describing non-liner
function is the neural network method.
The task of
the regression analyses is to find the appropriate theoretical regression
function to describe the dependence, determine the point, interval estimates of
regression coefficients, estimation of regression function values for
prognostic purposes and verification of compliance between the proposed
regression function and experimental data [7].
In case of
examining parameters of hydro-thermal microclimate dependent variable represent
Ti, xi, Tm as a function (2), (3) and (4).
| (2) |
| (3) |
| (4) |
The
simplified numerical model created in MS Excel works on the principle of the
regression method. The model was calibrated based on measured data for a period
of 10 days and subsequently verified for other period with measured data.
Calculation of dependent variables Ti and Tm was determined on the principle heat balance method described in (1).
The calculation of dependent variable xi took into account the amount of
outdoor humidity by ventilation and infiltration and the ability of the
material to absorb moisture. Due to the complexity of the issue related to the
accumulation of the moisture in the structures, the parameter of moisture
accumulation was determined by the regression method from measured data as a
function relative humidity. This assumption was further verified through
simulations in DesignBuilder, which generated
identical results with simplified model in MS Excel.
The choice
of appropriate time step was required for proper model operation. The above
described model works with 5-minutes time steps that correspond to the time
steps obtained from the dataloggers in object monitoring. Additional source of
moisture was applied to the model in an amount that correspond with results of
previous analysis published in [5].
The model
is not able to take into account the possibilities and limits of natural
ventilation in terms of buoyancy-drive and wind drive ventilation and it was
only set to two modes (infiltration: 0,2 ach, or
infiltration with natural ventilation 1,5 ach).
Determination of air change based on differences in temperature and wind effect
is subject to further investigation.
The
following conditions were applied in the model (5), (6), (7) and (8). The main
aim of these conditions was moving parameters of air temperature and relative
humidity closer to the tolerance zone and at the same time prevent significant
fluctuation of relative humidity.
| (5) |
| (6) |
| (7) |
| (8) |
In case the
model evaluated at least one of the conditions as a “CLOSE” mode, it considered
only infiltration.
The graphs
(Figure 3, Figure 4), show the results of the model
verification for the period 10 days (10.6. - 19.6.). The air temperature
results are almost identical to the measured values in all periods that have
been verified after calibration. The specific humidity values show acceptable
deviations. These differences can be attributed to the considerable
simplification of the extensive problems of moisture accumulation in the
masonry and the non-linear influence of the measured values by the additional
air humidity coming from the adjacent corridor.
Figure 3.
Comparison of measured and calculated air temperature values in the chapel.
Figure 4.
Comparison of measured and calculated specific humidity values in the chapel.
The graph
in Figure 5 assesses relative humidity values in three
possible ventilation modes for a selected period of 10 days:
·
Only
infiltration: constant 0,2 ach
·
Permanent
ventilation: constant 1,5 ach
·
Adaptive
ventilation: 0,2 ach or 1,5 ach depend on conditions
The
relative humidity results with only infiltration mode show the minimal
fluctuation, however, these values almost never fall below the critical value
of 75% RH. On the other hand, permanent ventilation results show extreme daily fluctuations
reaching almost 30% RH. Moreover, in some cases, it also could lead to increase
values. Adaptive ventilation represents an acceptable rate of relative humidity
decrease and leads to overall decrease relative humidity values.
Figure 5.
Comparison of different ventilation modes during the selected period of 10 days.
The
adaptive ventilation effect assessment was based on Performance Index (PI)
determination, defined as the percentage of time in which the parameters (in
this case air temperature and relative humidity) lie within the required
(tolerance) parameters [9]. The graphs in Figure 6 represent always one month in
winter, middle and summer period (from left to right in Figure 6), where is possible to see the moving of values with adaptive
ventilation closer to the tolerated zone.
Figure 6.
Comparison of calculated air temperature and relative humidity values (blue dots:
with infiltration only, red dots: with adaptive ventilation).
The general
knowledge about the need for ventilation of interiors is quite widespread.
However, the proper timing of natural ventilation is essential and failure to
observe the basic conditions can cause a negative effect for preservation.
As
expected, adaptive ventilation is not able to offer significant change in the
quality of the indoor environment. However, the results achieve improving
parameters with minimal energy input. It can be assumed that the influence of
adaptive ventilation on the quality of the indoor environment will not be
similar for building with different operations. A positive effect is expected
especially in buildings with some added source of moisture, which can be
characterized by occupants or structural defect. In this case, adaptive
ventilation could provide a way to cheaply achieve still acceptable parameters
that would not destruct the interior.
Subsequent
development of the numerical model will be address to the issue of natural
ventilation limits and value of air change intensity.
The
presented simplified numerical model demonstrates that if a suitable algorithm
is chosen, adaptive ventilation can have a positive effect on the quality of
the indoor environment. The model was created by regression method using the
measured data of air temperature and relative humidity in the interior and
exterior. The paper describes the boundary conditions ensuring that the
interior will not be damaged due to the sudden change of internal parameters
and large amount of outside air. The results of the numerical model confirmed
the positive effect of adaptive ventilation on buildings with some additional source
of moisture (e.g. occupants). At the same time, the assumption of different
efficiency in individual periods was verified, proving that in winter the
influence on parameters is minimal.
[1] ASHRAE, Museum, libraries, and archives, ASHRAE Applications Book (SI), chapter 21, 2007.
[2] ZÍTEK, P., VYHLÍDAL, T., FIŠER J., TORNARI V., BERNIKOLA, E., TSIGARIDA, N., Diffusion – model – based risk assessment of moisture originated wood deterioration in historic building, Energy and Environment 94 (2015) 218 – 230.
[3] PAVLOGEORGATOS,
G., Environmental parameters in museums, Building and
Environment 38 (2003) 1457 – 1462.
[4] FILIPPI,
M., Remarks on the green retrofitting of historic buildings in Italy, Energy and Buildings 95 (2015), 15 – 22.
[5] BALOUNOVA,
M., KABELE, K., Vyhodnocení rizika kondenzace a kvality vnitřního
prostředí v poutní kapli Svatých schodů, Simulace
budov a techniky prostředí 2016, 9. konference IBPSA – CZ.
[6] ČERNÝ,
M., NĚMEČEK, M., Mikroklima v historických interiérech, Národní památkový ústav – odborné a metodické publikace 2011.
[7] KINDLER, E., KŘÍVÝ, I., Simulace a modelování, Ostravská univerzita – výuková skripta 2011.
[8] RODE,
K, et al, Moisture buffering of building material, Technical
University of Denmark 2005.
[9] CORGNATI,
S.P., FILIPPI, M., PERINO, M., A new approach for the IEQ (Indoor Environmental
Quality) assessment, Research in Building Physics and
Building Engineering, Proceeding of 3 rd International Conference on Research
in Building Physics IBPC 2006, Montreal.
[10] Official website of Loreto Chapel, available from: www.loretarumburk.cz.
c | Specific heat capacity | [J.kg-1.K-1] |
Ti | Indoor air temperature | [°C] |
Te | Outdoor air temperature | [°C] |
Tm | Temperature of the mass | [°C] |
Tdp | Dew point temperature | [°C] |
RH | Relative humidity | [%] |
r | Density | [kg.m-3] |
A | Area | [m²] |
Vi | Volume of indoor air | [m³] |
Ve | Volume of outdoor air | [m³] |
U | Overall heat transfer coefficient | [W.m-2.K-1] |
d | Effective thickness | [m] |
h | Convection heat transfer coefficient | [W.m-2.K-1] |
xi | Indoor specific humidity | [kg.kg-1] |
xe | Outdoor specific humidity | [kg.kg-1] |
τ | Time | [s] |
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