Between $10$:$00$ and $14$:$00,$ the parameters associated with solar radiation have the

values shown in Table $1.$ Outside this period, there is no solar radiation. Calculate, hourly

between $10$:$00$ and $14$:$00$ inclusive, $($a$)$ the global solar radiation incident on the south fa$$ade

$(($W$)/($m$)2)$ and $($b$)$ the solar heat gain through the glazing center, using the angle$-$dependent

SHGC of the glazing type listed in the picture.

The dimensions of a small building are shown in Figure $1.$ The upper $50\%$ area of the south fa$$ade is a window. The lower $50\%$ area is a sandwich panel. The rest of the building envelope is foam insulation with negligible heat capacity. Other building information is provided in the appendix.

Figure $1$: schematic of the bulding and the open$-$sandwich wall panel

Calculation assumptions: $$ The temperatures of the exterior air and exterior environment are fixed at $-20\backslash$deg C$.$

$$ Room air is well mixed and is constant at $20\backslash$deg C$.$ The same temperature is for the interior

surfaces.

$$ The thermal capacitance of non$-$massive building components $($i$.$e$.,$ windows and foam

insulation$)$ can be neglected.

$$ One$-$dimensional heat transfer only in all components.

$$ Ignore the window frame.

$$ Use the approximate radiant heat transfer coefficients given in Table $3$ to calculate the

radiant heat transfer. The picture shows picture and the table needed to solve the problem.

Room air is well mixed and is constant at $20\backslash$deg C