About the comfort of house-buildings with earth walls in San Carlos, Tamaulipas

Figures & data

Figure 1. Predicted temporal behavior considering as a parameter the sum of the time constants (T), keeping the time constant of the wall fixed $b=\frac{{\tau }_1}{{\tau }_2+{\tau }_1}=0.1$.

Figure 2. Predicted temporal behavior considering as a parameter of the value of the time constant on the wall, keeping the sum of the time constants fixed T = 10.

Table 1. Prediction of comfort based on the physical properties of the wall and air, the shape of the room and the roughness of the walls

Shape	Air volume	Surface area	Comfort equation
Pyramidal	$\frac{1}{3}{\left(L-h\right)}^3$	${\left(\sqrt{6}{L}^2\right)}^f$	$\frac{C_1}{{\kappa }_1}{h}^2+\frac{1}{3}\frac{C_2}{U}{\left(L-h\right)}^3\times {\left(1.5651L\right)}^{-2f}$
Cubic	${\left(L-h\right)}^3$	${\left(5L^2\right)}^f$	$\frac{C_1}{{\kappa }_1}{h}^2+\frac{C_2}{U}{\left(L-h\right)}^3{\left(2.2361L\right)}^{-2f}$
Conic	$\frac{1}{3}\pi {\left(L-h\right)}^3$	${\left(\pi \sqrt[2]{2}{L}^2\right)}^f$	$\frac{C_1}{{\kappa }_1}{h}^2+\frac{C_2}{U}\frac{1}{3}\pi {\left(L-h\right)}^3{\left(2.1078L\right)}^{-2f}$
Spherical	$\frac{4}{6}\pi {\left(L-h\right)}^3$	${\left(2\pi L^2\right)}^f$	$\frac{C_1}{{\kappa }_1}{h}^2+\frac{C_2}{U}\frac{4}{6}\pi {\left(L-h\right)}^3{\left(2.5066L\right)}^{-2f}$

Figure 3. The behavior of comfort to the fractal dimension and shape of the room (∙ pyramidal; □ cubic; ◊ conical; o spherical) for L = 5 and h = 0.1.

Figure 4. The behavior of comfort concerning the thickness of the wall and the shape of the room (∙ pyramidal; □ cubic; ◊ conical; o spherical;—predicted) disregarding the effect of heat transport on the air inside the room for L = 5 and f= 1.