Solar radiant heat incident on a pig aggravates its body heat during hot summer days and alleviates its body cooling during cold winter days. The amount of direct solar radiation incident on the pig is equal to the product of the normal direct solar radiant energy falling directly from the sun on a plane per unit area perpendicular to the solar rays and the area of the pig projected orthogonally onto the perpendicular plane by the rays. The projected area is called the “direct solar radiation area” in this study. The direct solar radiation areas of standing surface-model pigs with live weights of 27, 65 and 88kg, which were three-dimensional graphic pigs with many surface-mounted triangular patches, were numerically calculated by using computer graphics with the solar altitude and the solar azimuth to the pigs as parameters.
The direct solar radiation areas of the 27, 65 and 88kg pigs were graphically shown as a function of the azimuth with the altitude as a parameter. The direct solar radiation areas became smaller when the sun was located in front of or behind the pigs and larger when it was located to the side of the pigs. The fluctuations of the areas with the azimuth became narrower with increasing altitude and the areas at an altitude of 90° were constant, regardless of the azimuth. These areas made it possible to easily evaluate the amount of direct solar radiation incident on the pigs with irregular body shapes, when the pigs faced toward one direction only.
The direct solar radiation areas averaged over the azimuth range from 0 to 360° were presented in graphical form as a function of the altitude for the 27, 65 and 88kg pigs. These areas permitted the evaluation, of the direct solar radiant energy reaching the pigs, when the pigs could orient themselves to the sun at random.
The equations for calculating the diffuse solar radiant energy
QDF in W incident on a pig with any weight from 27 to 88kg and the reflected solar radiant energy
QR in W reaching the pig from the level ground were developed as follows, using the direct solar radiation areas of the surface-model pigs at a solar altitude of 90°:
QDF=0.611
QDFHSQR=0.389ρ
QGHSwhere
QDFH is the diffuse solar radiant energy on a horizontal surface in W/m
2,
QGH is the global solar radiant energy on a horizontal surface in W/m
2, ρ is the solar reflectivity of the ground and
S is the total body surface area of the pig in m
2.
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