By Thomas T. Mercer
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16. Number and position of red bands , (A) Number as a function of radius; (B) angular position of reds. Optical Properties 2-3 59 PARTICLE SIZE PARAMETER ex = i r d / x 0 5 10 AREA MEAN PARTICLE DIAMETER ( μ ) 15 20 FOR WAVELENGTH 0,52μ FIG. 17. Extinction coefficient as a function of size . Courtesy of Academic Press, London. 3. As a continues to increase, the oscillations are gradually damped out and E-+2. 4 MECKE'S APPROXIMATION In this approximation, the light incident directly on the particle is treated according to geometric optics, and light passing near the particle is scattered according to Kirchhoff's theory of diffraction.
Knowing the diameter for that value of Re, the corresponding velocity, U, can be calculated using Eq. 4). U is the terminal settling velocity of a sphere of diameter D and density pp. In this way, a graph such as that shown in Fig. 5 can be constructed, relating Uto aerodynamic diameter. The portion of the curve at small values of U was calculated using Eqs. 18). 20) where k is Boltzmann's constant, Tis absolute temperature, m is the particle's mass, and UB is its root-mean-square thermal velocity given by UB = (\SkT/nppD3)1/2.
12)]. be made to simplify the estimation of the fluid resistance for nonspherical particles. 10) where D is some characteristic "diameter" of the particle and KR is a resistance shape factor. Gurel et al. * Following their suggestion, Eq. 10) with D = (S/n)l/2, has been used to calculate KR for a variety of isometric shapes for which data are available in the literature. 2. Values of # R near unity indicate that the drag on the nonspherical particle is close to that on a sphere of the same surface area.