## Graphical visualization

To help visualize the results of this research, some formulas have been programmed by the authors in Matlab® computational language, which greatly enhances understanding of radiative exchange between emitting surfaces and receiving planes. 3D graphs have been produced for a generic semicircular emitter. Figure 7 shows a generic semicircular emitter that gives energy to a […]

## Configuration factor between a sphere and a plane

Extending the previous deduction to a finite rectangle located at a certain distance to the sphere in a random position (figure 6), a new unknown factor has been deducted:   F = 1 A1-A2 4p   (56)   7-‘Jxf+yf+ -2   -■Jx 2 + yj2 + z 2 Zy]xl + y2 + z 2   […]

## Extension to three dimensional emitters – Configuration factor between a sphere and a differential element placed at a random position

After analyzing the previous form factors for the circle, a new question can be deducted. A sphere can be considered, in terms of radiative transfer as a circle [7], as the viewed area of the said sphere from a distant point equals always a circle, because only half of the emitter is visible. Let us […]

## Resolution of the integral for the third coordinate plane

Being radiation a vector, the resolution for a third coordinate plane that obviously cuts the emitting circle in two halves is required; the outline of the integral in this case yields: In this particular case, the limits of the integral cannot be extended to 2n, as the value would be nil. If (41) is integrated […]

## Integration process for circular emitters

3.1. Direct integration for a differential element to a circular disk on a plane parallel to that of the element Let us consider the proposed figure. In order to determine the radiant interchange between an emitting circle, which lies in the plane ZX, and a point P situated in another parallel plane XY, the following […]

## Outline of the problem & objectives

The reciprocity principle enunciated by Lambert in his paramount book Photometria, written in Latin (Lambert, 1760), yields the following well-known integral equation: Relevant terms in equation (1) are depicted in figure 1. From the times of Lambert to our days, researchers and scientists in the fields of Geomet­ric Optics and Radiative Transfer have striven to […]

## New Computational Techniques for Solar Radiation in Architecture

Jose M. Cabeza-Lainez, Jesus A. Pulido Areas, Carlos Rubio Bellido, Manuel-Viggo Castilla and Luis Gonzalez-Boado Additional information is available at the end of the chapter http://dx. doi. org/10.5772/60017 1. Introduction Many architectural examples rank among masterpieces for its beautiful and harmonious use of solar radiation. However, their creation had to rely solely on intuition because […]

## Solar panel surface clarity and energy efficiency

Improving the solar panel energy efficiency by cleaning the solar panel was undertaken to study the energy output efficiency for the non-crystalline, monocrystalline, and polycrystalline solar panel with and without the emulated rainfall. The weather in Taiwan is rather humid; the dust in the air is thus easily moistened, adhered to and accumulated on the […]