Angle factor, radiation

Angle factor The geometrical shape factor used in calculating radiation exchange between surfaces / and /. 

Radiation shape factor The angle factor representing the fraction of the angular field of view from which energy exchange is trading places. 

Other names for the radiation shape factor are view factor, angle factor, and configuration factor. The energy leaving surface 1 and arriving at surface 2 is... 

To account for the effects of orientation on radiation heat transfer between two surfaces, we define a new parameter called the vieu factor, which is a purely geometric quantity and is independent of the surface properties and temperature. It is also called the shape factor, configuration factor, and angle factor. The view factor based on the assumption that the surfaces are diffuse emitters and diffuse reflectors is called the diffitse view factor, and the view factor based on the assumption that the surfaces are diffuse emitters but specular reflectors is called the specular view factor. In lliis book, we consider radiation exchange between diffuse surfaces only, and ihu.s the term view factor simply means diffuse view factor. 

The calculation of radiative exchange between two surfaces requires a quantity that describes the influence of their position and orientation. This is the view factor, which is also known by the terms configuration factor or angle factor. The view factor indicates to what extent one surface can be seen by another, or more exactly, what proportion of the radiation from surface 1 falls on surface 2. 

The angle factor S depends on scattering angle and wavelength of the radiation used for the analysis. It is calculated by equation (2.37)... 

View factor or angle factor, dimensionless F, Fj2> i3> for radiation... 

A very important aspect of radiative heat transfer is the system geometry. This is accounted for by using radiation shape factors, also called view factors, angle factors, or configuration factors and defined as follows... 

The correlation fiinction G(/) quantifies the density fluctuations in a fluid. Characteristically, density fluctuations scatter light (or any radiation, like neutrons, with which they can couple). Then, if a radiation of wavelength X is incident on the fluid, the intensity of radiation scattered through an angle 0 is proportional to the structure factor... 

With p-polarized radiation and incident angles near grazing incidence an increase in sensitivity of approximately a factor of 25 can be achieved in comparison with transmission experiments [4.265]. This advantage is reduced to a factor of 17 for a more realistic experimental situation in which the spread of incident angles is ca. 5° at approximately 85°. 

Adaptations to Habitats. Because of Eaith s geom-etiyf and the position of its axis, the equator receives more solar energy per unit area than the polar regions. Because Earth s axis is tilted relative to the plane of Earth s orbit around the Sun, this angle of incident radiation varies seasonally. These factors, combined with Earth s rotation, establish the major patterns of temperature, air circulation, and precipitation. 

The rate of heat conduction is further complicated by the effect of sunshine onto the outside. Solar radiation reaches the earth s surface at a maximum intensity of about 0.9 kW/ m. The amount of this absorbed by a plane surface will depend on the absorption coefficient and the angle at which the radiation strikes. The angle of the sun s rays to a surface (see Figure 26.1) is always changing, so this must be estimated on an hour-to-hour basis. Various methods of reaching an estimate of heat flow are used, and the sol-air temperature (see CIBSE Guide, A5) provides a simplification of the factors involved. This, also, is subject to time lag as the heat passes through the surface. 

Figure 15. Circular dichroism of the C=0 C li peak (BE = 292.7 eV) in fenchone at three different photon energies, indicated, (a) Photoelectron spectrum of the carbonyl peak of the (1S,4R) enantiomer, recorded with right (solid line) and left (broken line) circularly polarized radiation at the magic angle, 54.7° to the beam direction, (b) The circular dichroism signal for fenchone for (1R,4A)-fenchone (x) and the (lS,41 )-fenchone (+) plotted as the raw difference / p — /rep of the 54.7° spectra, for example, as in the row above, (c) The asymmetry factor, F, obtained by normalizing the raw difference. In the lower rows, error bars are included, but are often comparable to size of plotting symbol (l/ ,4S)-fenchone (x), (lS,4R)-fenchone (+). Data are taken from Ref. [38],...

Quantity used to characterize the scattered intensity at the scattering angle,0, defined as R 6) = ier / If V), where / is the intensity of the incident radiation, iff is the total intensity of scattered radiation observed at an angle 6 and a distance r from the point of scattering and V is the scattering volume. The factor /takes account of polarization phenomena. 

S is the scattering vector, Mj is the atomic displacement parameter in this simplified notation assumed to be isotropic, 6 is the scattering angle, and 1 the wavelength of the incident radiation. The atomic displacement depends on the temperature, and hence so does the Debye-Waller factor. If an atom is modeled by a classical oscillator, then the atomic displacement would change linearly with temperature ... 

Let the coordinate system be such as that given in Figure 4. IS. The electric vectors of a plane polarized radiation vibrate along OZ in the ZX plane and OX is the direction of propagation of the plane polarized wave. When a solution of anisotropic molecules is exposed to this plane polarized radiation, the electric vector will find the solute molecules in random orientation. Only those molecules absorb with maximum probability which have their transition moment oriented parallel to OZ (photoselection). Those molecules which are oriented by an angle 6 to this direction will have their absorption probability reduced by a factor cos 6, and the intensity of absorption by cos2 6. Finally, the molecules oriented perpendicular to the electric vector will not absorb at all. These statements are direct consequences of directional nature of light absorption... 

---