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Effect of Geometry of Holes on Heat Transfer of Concrete Masonry Bricks Using Numerical Analysis

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Abstract

The population growth and harsh weather conditions in Saudi Arabia increase the demand for electricity due to the overwhelming usage of air-conditioning system for cooling during the excessively hot weather summer conditions. Therefore, the demand to produce efficient insulation materials for building construction has recently increased for energy and environment conservation, particularly with the recent increase in the electricity tariffs. In this paper, finite element analysis using ABAQUS software was used to determine the optimum geometry of holes for concrete bricks that would increase the thermal resistance of the wall, thereby reducing the consumption of electrical power. The analysis was carried out for 23 models with different configurations of holes for masonry concrete bricks. Regular and staggered cavities arrangements were analyzed. The conduction, convection and thermal radiation phenomena were considered for solid and hollow masonry bricks. The results demonstrated that 51% hollow ratio could reduce the average inner surface temperature \((T_\mathrm{i})\) of the concrete brick by \(7.18\,{^{\circ }}\hbox {C}\). For bricks with the same hollow ratio, it was observed that there is an effect of the shape of holes in reducing the thermal flow through the bricks, while the number of holes has a marginal effect on the average inner surface temperature \((T_\mathrm{i})\). Further, the staggered arrangement for circular holes has considerable effect in reducing \(T_\mathrm{i}\) for bricks with four cavities, while the rectangular cavities have negative impact on \(T_\mathrm{i}\). Moreover, for the models with circular and rectangular eight cavities, the staggered arrangement has an advantage in reducing \((T_\mathrm{i})\).

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Abbreviations

b :

Width of the air cavity

CFD:

Computational fluid dynamic

d :

Thickness of the air cavity in the direction of heat flow

H :

Height of brick

HR:

Hollow ratio

h :

Height of the air cavity

\(h_\mathrm{a}\) :

Convection film coefficient

\(h_\mathrm{co}\) :

Convective heat transfer coefficient for outer surface

\(h_\mathrm{ci}\) :

Convective heat transfer coefficient for inner surface

\(h_\mathrm{eq}\) :

Equivalent film coefficient

\(h_\mathrm{r}\) :

Radiative film coefficient

\(h_\mathrm{ro}\) :

Radiative coefficient for black body surface

K :

Thermal conductivity coefficient

L :

Length of brick

NT11:

Nodal temperature

\(q''_\mathrm{cond.}\) :

Heat flux due to conduction

\(q''_\mathrm{conv.}\) :

Heat flux due to convection

\(q''_\mathrm{rad.}\) :

Heat flux due to radiation

\(q''_\mathrm{solar}\) :

Thermal load due to solar radiation

T :

Surface temperature

\(T_\mathrm{ai}\) :

Air inner temperature\(\,=\,25\,{^{\circ }}\hbox {C}\)

\(T_\mathrm{ao}\) :

Air outer temperature\(\,=\,46\,{^{\circ }}\hbox {C}\)

\(T_\mathrm{i }\) :

Average inner surface temperature

\(T_\mathrm{o}\) :

Average outer surface temperature

\(T_\mathrm{si}\) :

Surrounding inner temperature\(\,=\,25\,{^{\circ }}\hbox {C}\)

\(T_\mathrm{so}\) :

Surrounding outer temperature\(\,=\,46\,{^{\circ }}\hbox {C}\)

W :

Width of brick

\(\varepsilon \) :

Emissivity coefficient

\(\varepsilon _{1}\), \(\varepsilon _{2}\) :

Emissivities of the hot and cold surfaces of the air cavity

\(\sigma \) :

Stefan Boltzmann constant\(\,=\, 5.67 \times 10^{-8}(\hbox {W/m}^{2}\hbox { K}^{4})\)

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Acknowledgements

The authors acknowledge the kind support of King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, for this research.

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Correspondence to Mohammed A. Al-Osta.

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Al-Tamimi, A.S., Al-Osta, M.A., Al-Amoudi, O.S.B. et al. Effect of Geometry of Holes on Heat Transfer of Concrete Masonry Bricks Using Numerical Analysis. Arab J Sci Eng 42, 3733–3749 (2017). https://doi.org/10.1007/s13369-017-2482-6

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