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# The DRESOR Method for a Collimated Irradiation on an Isotropically Scattering Layer

[+] Author and Article Information
Qiang Cheng

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P.R.C.

Huai-Chun Zhou1

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, P.R.C.hczhou@mail.hust.edu.cn

1

Corresponding author.

J. Heat Transfer 129(5), 634-645 (Jul 05, 2006) (12 pages) doi:10.1115/1.2712477 History: Received October 25, 2005; Revised July 05, 2006

## Abstract

Forward and backward Monte Carlo methods may become inefficient when the radiant source is collimated and radiation onto a small, arbitrary spot and onto a small, arbitrary direction cone is desired. In this paper, the DRESOR method was formulated to study the radiative heat transfer process in an isotropically scattering layer exposed to collimated radiation. As the whole spherical solid angle space was uniformly divided into 13,316 discrete solid angles, the intensity at some point in up to such discrete directions was given. The radiation fluxes incident on a detector inside the layer for varying acceptance angles by a step of $2deg$ were also measured, which agreed well with those in literature. The radiation flux across the top and the bottom boundaries were also provided.

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## Figures

Figure 1

Collimated irradiation impinging on an arbitrary surface

Figure 2

Geometry of a one-dimensional layer subjected to collimated irradiation (a), and the geometric relation of points, J1, J2, in the x-z plane to the points, H, O, in the disk subjected to the collimated irradiation used to derive the DRESOR value Rds(rH,rJ1) from Rds(ro,rJ2) (b)

Figure 3

Discrete angles of θi and φi,j and their steps, constant Δθ and variable Δφi, in the hemisphere solid angle space

Figure 4

Geometry of the discrete direction (θi,φi,j) traversing the layer in the three-dimensional space (a), and the projection of the horizontal plane at O′ on the x-y plane (b)

Figure 5

Comparisons of the fluxes incident on the detector located at point A by the DRESOR method and by Modest (1) for varying acceptance angles for case 1

Figure 6

Two-dimensional distribution of Rds[ro,r′(x,z)] for 3cm<x≤20cm (a) and 20cm<x≤10m (b) for case 1

Figure 7

Two-dimensional distribution of Rds[W,r′(x,z)] for x≤20cm (a) and 20cm<x≤10m (b) for case 1

Figure 8

Rds[W,r′(x,z)] varied with x at z=0, z=0.5L, and z=L for case 1 (a), and at z=0.5L for the four cases (b)

Figure 9

I(θi,φi,j) at point A as θ within [0deg,90deg] (a), at point C as θ within (90deg,180deg) (b), at point B as θ within [0deg,90deg] (d), and at point B as θ within (90deg,180deg) (d) for case 1

Figure 10

I(θi,φi,j) in point A as θi=10deg (a), θi=30deg (b), θi=60deg (c), and θi=90deg (d) for the four cases, respectively

Figure 11

The flux incident on detectors at points A, B and C (a), at points O, O′, and O″ (b), and at points O″, A′, A, and A″ (c) varied with the opening angle θmax for case 1

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