Solar Gain of the Glazing Plane Considering Influence of Nearby Structures of Unconventional Shape

A method for the determination of solar heat gain from scattered solar radiation from the sky in the shape of a spherical segment on the surface of the glazing has been developed. The geometric parameters of this model were determined. Heat gain from scattered solar radiation was determined using a mathematical apparatus of point calculus. By the point equation of the segment, a field of scanning points was obtained, according to which visualization was carried out in the Maple environment. The elementary values of solar gain were determined by known formulas within elementary pyramids, the vertices of which are located in the center of a spherical segment, and their faces pass through three or four scanning points on the segment surface. The heat flux incomes the surface of glazing in two ways. The first incomes directly from a part of sky to the fragment of glazing. The second - from a part of sky to the fragment of solar protection device, and then is reflected to the fragment of glazing. The sum of elementary values of heat fluxes determines their total value.