Thermophysical Characterisation of a Raw Earth Brick Stabilised by the Addition of Cow Bone Ash Use in Construction ()
1. Introduction
In recent years, mankind’s technological growth has led to the development of several varieties of raw earth building materials, both in developing and industrialized countries. The use of earth in construction, its availability and accessibility is a factor that makes its use possible. The development of construction infrastructures in the northern zone is a major asset for the development of Cameroon, but this development in the building sector has a profound impact on housing (thermal comfort) and the environment. The use of cement, concrete and steel accounts for a significant proportion of energy consumption for building operations, combined with the rising cost of energy in general [1] [2]. Today, the world is focusing much more on the problem of heat exchange between premises and the environment. This vast and complex problem depends on a number of parameters, such as [3]:
The nature of the materials used in construction.
The shape of buildings, which influences the capture of solar energy.
The climatic environment in which the building is located.
The intersection of the ground.
Carbon dioxide emissions in the building sector now rank it among the most polluting sectors in the world, and it is the second biggest emitter of carbon dioxide after industry [4]. Studies by [5] [6], as a result, greenhouse gases are responsible for over 40% of global warming [7] [8]. This phenomenon is prompting global concerns about environmental and energy management to lead to rapid growth, with the need to build more energy-efficient sustainable housing and use natural resources as much as possible, according to Donatien René Riantsoa [9]. Earth offers enormous advantages in terms of thermal insulation [10], as well as social and cultural benefits, enabling people in Sudano-Sahelian regions to better cope with the high temperatures and heat waves that are becoming increasingly frequent with climate change. For many Sudano-Sahelian regions, earthen housing remains the only logically and reasonably feasible construction method, as they do not have sufficient material resources or the means to acquire and build housing for their inhabitants [11]. However, the new constructions take two factors into account: on the one hand, the durability of the construction, and on the other, the cost in relation to the existing [12]. The northern regions of Cameroon, characterized by a very hot, dry climate, face a number of problems in terms of housing and construction [13]. The construction methods used do not meet the climatic requirements of these regions. The building materials used are often concrete or cementitious products such as cinder blocks, mortars and adobes, which have poor thermal and mechanical properties, whereas these regions have a number of local materials (clay, laterite, etc.) that have proven their thermal and mechanical efficiency in the past [14]. These cities are undergoing extremely rapid urban development. Depending on the needs normally expressed, construction costs in the current situation are becoming increasingly high [14]. The State of Cameroon, anxious to reduce these costs, is working to find solutions and is encouraging research into the use of local materials, which looks promising. But our researchers have not yet explored this field. The main reason is that their thermophysical properties are not always well known, particularly their hygrothermal behaviour, an important factor in occupant comfort [3]. This policy of fighting the cost of building materials led to the creation of a public establishment in 1990, reorganized on October 17, 2018 by presidential decree No. 2018/594 and placed under the Ministry in charge of scientific research (MIPROMALO) [15]. The aim of this structure is to enhance the value of natural resources (local and innovative materials) in order to reduce construction costs and national equipment such as stabilized earth bricks and terracotta bricks with a view to improving the thermophysical properties of construction materials in the national territory. Faced with all the above, we set out to find solutions to the above-mentioned problems, by making mud bricks incorporating materials with low density and low thermal conductivity, so that the mud brick would meet these requirements. We chose to incorporate an organic material into the clay brick. The recycling of waste at the end of its cycle (bones) is a contribution to environmental protection and the sanitation of our urban spaces [16], as this waste abandoned in nature (restaurants, slaughterhouses and households) is a major source of waste [5] [15].
2. Presentation of the Study Area
Our study was carried out in the North Cameroon region, Bénoué Division, Pitoa Subdivision and Sonayo village (Figure 1) with geographical coordinates: 9˚36'0"N, 13˚26'24"E.
Figure 1. Location map of study area (North Cameroon).
3. Materials and Methods
3.1. Materials
As materials in this work we have Clay material (Figure 2), Organic material (Figure 3), Material sample (Figure 4), Asymmetric hot plane experimental set-up (Figure 5) and the Hot plane experimental set-up (Figure 6).
Figure 2. Clay material used.
Figure 3. Organic material.
Figure 4. Material sample.
Figure 5. Asymmetric hot plane experimental set-up.
Figure 6. Hot plane experimental set-up.
3.2. Methods
The clay material (Figure 2) used to make the mud bricks comes from the North Cameroon region, Pitoa subdivion and Sonayo village is first dried, then ground by hand using a stone to obtain particles of a maximum size of 4 mm. The cow bones (Figure 3) are calcined at a temperature of 600 degrees celsus for 5 hours. After calcination the bones were ground in an electric grinder to obtain a powder size of 5 mm. Combinations were made with 0%, 2%, 4%, 6% and 8% by weight of cow bone ash. The clay is mixed with the bone ash at a time of 20 minutes using a percentage of 26% water per dry weight of earth until a homogeneous mixture is obtained. The clay paste is covered with plastic at room temperature for 24 days to promote the mixture (clay + bone ash) is placed in square moulds 10 × 10 × 3 cm3 in three layers and each layer is pressed manually with twenty shocks and gradually another layer is added until the mould is filled after the last layer. The samples are kept in a chamber (22˚C ± 5˚C) in ambient air for 24 h with a humidity of 60% before being demoulded for drying. To carry out the various tests, the mud bricks are first left in the shade for a period of at least 21 days. Drying in the chamber is to prevent the clay bricks (Figure 5) from cracking and Figure 5 shows the asymmetric hot plane experimental set-up for thermal characterization.
Thermophysical Characterisation
Measuring equipment for estimating thermophysical parameters
A 10 × 10 × 3 cm3 sample is placed on a heat sensor between two blocks of 10 × 10 × 3 polystyrene. The increase in temperature at the centre of the thermal resistance is the result of a type K thermocouple recording the test temperature on the hot surface of the material. Experimental temperatures Texp (t) were recorded using the TC 08-USB acquisition module. The experimental and simulated temperature drop obtained after modelling the test instrument helped us to estimate E and ρcp. It is therefore important to note that the temperature above the polystyrene blocks remains at its initial state, to arrive at this point we placed two 10 × 10 × 3 aluminium blocks above and below the polystyrene blocks hblock = 10 W/m2K; λblock = 200 W/mK, b = 100 mm, we find Bi = 0.005 which is well below 0.1.
a) Quadrupole models of the complete heat transfer model
Since the transverse dimensions of the resistor are larger than the thickness of the sample, heat transfer can be considered unidirectional at the center of the probe, and modeled using the quadrupole method [12] [16] [17]. In this case, lateral convective losses h at the sides of the sample can be neglected. Secondly, we consider the probe as a thin system (the temperature will then be uniform over the entire thickness of the probe). The thermal quadrupole method applied to the sample for the upward flow is used to solve this problem and is written:
(1)
: The Laplace transform of the temperature rise at the probe.
: The upward transform of the heat flux density dissipated in the sample.
: The element representing the probe’s half-thickness
(2)
: The element representing contact resistance at the probe-sample interface
(3)
: The element representing the material considered as semi-infinite
(4)
The quadrupole method applied to the downward flux is written by also considering the insulator as a semi-infinite material:
(5)
: The Laplace transform of the heat flux density dissipated downwards in the sample.
: The element representing contact resistance at the probe-insulator interface
(6)
: The element representing contact resistance at the probe-insulator interface
(7)
The total flux density is given by:
(8)
Combining all these different matrices, we arrive at the relationship that represents the theoretical response of the asymmetric semi-infinite hot plane model in Laplace space:
(9)
the Laplace transform of the temperature at the center of the probe
.
Using Stelfest’s method [18] [19], the simplified long-time estimate (simplified model) of relation (9) gives the temperature evolution in real space at the center of the material.
(10)
Numerical calculation of the slope
of the curve
, allows us to obtain a pre-estimate (preest) of the material’s thermal effusivity, given by relationship (10).
(11)
The volumetric heat capacity ρCp can also be pre-estimated from the simplified model. Heat transfer through the probe over a time interval corresponds to an infinitely small heat
, which causes a temperature rise dT in the probe. By exploiting the linear part of the thermogram
, we can numerically calculate its slope β and thus deduce the pre-estimated value of the sample’s volumetric heat capacity by the relation
(12)
The pre-estimates of E and ρCp will enable us to determine the apparent thermal conductivity of the materials using relationship (13).
(13)
b) Asymmetrical 1D quadrupole models for the complete model
Consider the diagram in Figure 6. Applying the quadrupole formalism, we have [8] [17]:
(14)
: The element representing the material to be characterized:
(15)
(16)
: The element representing contact at the sample/insulator interface
(17)
: The element representing the insulating material.
(18)
With:
(19)
The role of the aluminum block here is to keep the temperature constant at the insulating material/aluminum block interface, and if we evaluate the Biot number of this block by the relation (20):
(20)
With values
;
,
, we find
which is well below 0.1, in which case it can be considered uniform. Then let:
(21)
In the same way, in Equation (2), the matrix element
is replaced by the matrix
:
(22)
By combining relations (1), (11) and (18), we found the temperature at the centre of the probe in Laplace space, given by relation (22):
(23)
The Levenberg-Marquart (1944) algorithm integrated into a Matlab code can then be used to estimate the value of E that minimises the sum of the quadratic deviation errors of the ψ functional [12] [17].
(24)
between the experimental curve
and the theoretical curve
.
Knowing the experimental density ρexp and estimating the volumetric heat capacity ρCp, we can estimate the heat capacity Cp using the relationship:
(25)
4. Results and Discussion
4.1. Specific Heat of Composite Material with Added Bone Centre
The specific heat Cexp is obtained from the heat capacity (ρC)exp measured using the experimental hot plane and the density. Figure 7 illustrates the different values of the brick with the addition of bovine bone ash. The above results show that the variation of the effective temperature increases with the increase of the bone ash in the brick material.
These different results are 1033903.35; 1033364.69; 981369.638; 927856.381 and 890479.511 J/m3K with 0%, 2%, 4%, 6% and 8% addition of cow bone ash. The specific heat of an object or body is the energy required to increase the temperature of part of the object by 1 Kelvin, and we find a 13.87% difference in specific heat between real bricks and bricks containing 8% of cow bone ash. The decrease in the specific heat of an earth brick mixed with bone ash, as a function of percentage, is due to the change in the internal structure of the material and the variation in its capacity to store heat. The addition of bone ash, whose specific heat is generally lower than that of raw earth, reduces the overall capacity of the mixture to store heat. The less insulating the material. The specific heat and calorific value of an earth brick mixed with bone ash decrease as the percentage of bone ash increases, due to their intrinsic thermal properties [8] [12]. Bone ash generally has a lower specific heat and calorific value than raw earth. Therefore, adding bone ash reduces the brick’s ability to store and release heat (Figure 7).
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Figure 7. Volume heat capacity.
4.2. Thermal Effusivity
The thermal effusivity curve obtained shows how the variation in temperature increases with the rate of addition. On the other hand, the temperature of the insulating material also has a capacity to reduce thermal effusivity. Looking at the values on the histograms (Figure 8), we can see that the thermal effusivity of our material decreases with the addition of cow bone ash. The percentage difference is 12.08%, the thermal effusivity between the reference bricks (744.1056 J/m2Ks1/2) and that with the addition of 8% cow bone ash (654.1576 J/m2Ks1/2) obtained. This reduction is due to the presence of hollow pores in the cow bone ash, a function of the morphology or shape of the material.
Figure 8. Thermal effusivity.
The percentage of organic matter added, the composition of the material and the porosity of the material all influence the thermal performance of the material [8] [17]. Table 1 shows the Thermal Properties of different materials.
Table 1. Thermal properties of different materials.
Samples |
E Thermal Effusivity (J/m2Ks1/2) |
Cp Thermal capacity (J/m3K) |
λ Thermal Conductivity (W/mK) |
ρ Density (kg/m3) |
Brique + 0% de cendre |
744.10565 |
1033903.35 |
0.81253 |
1536 |
Brique + 2% de cendre |
700.095677 |
1033364.69 |
0.650024 |
1653 |
Brique + 4% de cendre |
693.176319 |
981369.638 |
0.5850216 |
1436 |
Brique + 6% de cendre |
682.410861 |
927856.381 |
0.52651944 |
1490 |
Brique + 8% de cendre |
654.157647 |
890479.511 |
0.4738675 |
1591 |
4.3. Thermal Conductivity
This is the essential assessment of the energy performance that a material can deliver. Changes in thermal conductivity are a function of the percentage of additives (porosity of the raw materials) as shown in Figure 9. When organic matter is added, the thermal conductivity of the composite material decreases as a function of the additives added. It decreases from 0.8 to 0.4 W/Km, i.e. a percentage decrease of 50%. A material is more insulating than a porous material. It has been concluded that this composite has very good thermal performance, making it suitable for use as a thermal insulation material. The addition of cow bone ash considerably reduces the thermal conductivity of the material due to the increase in porosity. In addition to the calcium sulphate in the cow bone meal, which acts as a natural cement, binding the particles of earth and sand together. This binding action strengthens the structure of the brick, improving its compressive strength and durability, which has a positive influence on its ability to manage heat exchange. Figure 9 shows the variation in porosity as a function of
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Figure 9. Changes in thermal conductivity as a function of ash content (%).
Figure 10. Experimental curve of the complete hot plane model as a function of temperature and time obtained for a sample: (a) Curve of reduced sensitivities (b) Covariance curve; (c) Curve of the complete model [7] [12] [17].
the level of organic matter [16]. An increase in porosity reduces the proportion of clay material, ensuring heat diffusion within the products. Thermal diffusivity is reduced and, consequently, thermal conductivity. The lower thermal conductivity values are shown in the table above. Consequently, BTS with low thermal conductivity has pores in the material [11] [20]-[23].
The evolution between the experimental and theoretical curves is satisfactory, as shown by the curves estimating the covariance, sensitivity and residuals. This is why the thickness/width ratio always obeys the limits set in Figure 10, to keep the 1D transfer at the centre and the contact resistances negligible [8].
In general, earth bricks stabilised with cow bone ash from 2% regulate the thermal conductivity of the material and are more suitable for housing construction compared to earth bricks without the addition of ash, meanwhile, numerous researchers have proven that the addition of cow bone ash improves thermal properties, compressive strength and durability [3] [8] [21] [24]-[26].
5. Conclusion
This work consisted of an experimental study of the thermophysical characterisation of a raw earth brick based on cow bone ash. It is clear from this approach that sustainable development has the advantage of using raw materials which are renewable, ecological, resistant, durable and available. Furthermore, this work aims to contribute to the improvement of adobe manufacturing techniques using raw earth with the addition of cow bone ash. The adobes designed for this work were formulated from the raw earth mixture with contents of 0%, 2%, 4%, 6% and 8% respectively. The results show that our material has a thermal conductivity of 0.81 to 0.47 W/mK, which decreases with the addition of cow bone ash, with a fall rate of 60.6%, proving that the organic matter incorporated into the raw earth contributes to improving the thermal comfort of the building. The specific heat of an earth brick mixed with cow bone ash decreases as the percentage of bone ash increases the result values which are 1033903.35 to 890479.51 J/m3K. This is because bone ash has a lower specific heat than earth. Adding bone ash therefore reduces the mixture’s ability to store heat, which in turn reduces its calorific value. However, this mix can offer benefits in tropical and hot regions due to its ability to regulate temperature and humidity, improving thermal comfort. On the other hand, effusivity decreased with the addition of organic matter from 744.10 to 654.15 J/m2Ks1/2, with an average of 34.73%. This allows us to state that the composite obtained in this way is of particular interest in terms of thermal insulation in buildings, allowing it to be used in the construction sector. However, the best thermophysical behaviour is observed from proportions of 2% to 8% which means that it heats up and cools down more quickly. This is of great advantage for climates where the temperature sometimes reaches 45˚C in the shade, such as in the North region of Cameroon where this study is carried out to support sustainable living and construct houses resilient in the rural areas in opposition to the natural disasters and limit ventilation through household appliances in homes in order to reduce energy consumption.