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Geometrical factors for parts of an infinite cylindrical surface

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Abstract

A method is described for calculating geometrical factors, allowing for attenuation of radiation by the medium, and computing radiative heat transfer between coaxial strips forming part of a cylinder.

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Abbreviations

ϕ :

mean generalized geometrical factor

ξ:

local generalized geometrical factor for a closed infinite cylindrical surface

F:

surface area

l :

length of ray between elements dFm

D and H:

diameter and length of cylinder

k:

ray attenuation coefficient

Ω:

equivalent solid angle [1] determined from the condition ϕmm=1 at Δ=0 for a closed surface

f (Θ):

indicatrix of the specific radiation intensity (a quantity analogous to the specific luminous intensity [1])

Θ:

angle between the normal to an element of surface and the ray linking the surface elements

α and β:

angles in a section of the surface

α :

angle between the radius and the chord subtending the projections of dFmon the section

β :

angle between the radius and the chord subtending the projection of element dFmon the section and the edge of the surface

δ :

acute angle between rayl and the generator of the cylinder

γ0 :

half subtended angle for the arc of a section of the surface

S2 and M:

generalized local geometrical factors in the notation of [2] (s2 ≡ξ and is shown in Table 2

M:

local factor for an infinite cylinder with a semicircular cross section for a point in the middle of the plane part of the surface; a table of values of M is given in [2])

n:

number of strips

References

  1. R. A. Sapozhnikov, Theoretical Photometry [in Russian], Gosenergoizdat, 1960.

  2. I. R. Mikk, Tr. Tallinskogo politekhnicheskogo instituta, Teploobmen i topochnye protsessy, ser. A, no. 206, 1963.

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Authors and Affiliations

  1. Ural Electrical and Mechanical Institute of Railroad Engineers, Sverdlovsk

    S. P. Detkov & E. A. Luk'yanets

Authors
  1. S. P. Detkov
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  2. E. A. Luk'yanets
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Detkov, S.P., Luk'yanets, E.A. Geometrical factors for parts of an infinite cylindrical surface. Journal of Engineering Physics 11, 95–97 (1966). https://doi.org/10.1007/BF00831261

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  • DOI: https://doi.org/10.1007/BF00831261

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