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Research Papers: Radiative Heat Transfer

The Solution of Transient Radiative Transfer With Collimated Incident Serial Pulse in a Plane-Parallel Medium by the DRESOR Method

[+] Author and Article Information
Qiang Cheng

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

Huai-Chun Zhou

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

Zhi-Feng Huang

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

Yong-Lin Yu, De-Xiu Huang

Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, P.R.C.

J. Heat Transfer 130(10), 102701 (Aug 06, 2008) (15 pages) doi:10.1115/1.2945906 History: Received March 25, 2007; Revised January 15, 2008; Published August 06, 2008

A time-dependent distribution of ratios of energy scattered by the medium or reflected by the boundary surfaces (DRESOR) method was proposed to solve the transient radiative transfer in a one-dimensional slab. This slab is filled with an absorbing, scattering, and nonemitting medium and exposed to a collimated, incident serial pulse with different pulse shapes and pulse widths. The time-dependent DRESOR values, representing the temporal response of an instantaneous, incident pulse with unit energy and the same incident direction as that for the serial pulse, were proposed and calculated by the Monte Carlo method. The temporal radiative intensity inside the medium with high directional resolution can be obtained from the time-dependent DRESOR values. The transient incident radiation results obtained by the DRESOR method were compared to those obtained with the Monte Carlo method, and good agreements were achieved. Influences of the pulse shape and width, reflectivity of the boundary, scattering albedo, optical thickness, and anisotropic scattering on the transient radiative transfer, especially the temporal response along different directions, were investigated.

Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 16

The temporal radiative intensity along θ=0deg, 1deg, 10deg, 20deg, and 30deg at Boundary 2 in the forward scattering medium with a=0.9 for Case E2 (a), and in the backward scattering medium with a=−0.9 for Case E3 (b)

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Figure 17

The temporal transmittance distributions for Cases E1, E2, and E3 with three different scattering phase functions

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Figure 15

The transient incident radiation distributions G(z,t) at different locations for Case D4 with optical thickness τ=10

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Figure 14

The temporal radiative intensity along directions θ=0deg, 1deg, 10deg, 20deg, 40deg, and 60deg at Boundary 2 for Case D1 with τ=0.1

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Figure 13

The largest extended temporal spread of transmittance appearing when 2.4<τ<2.6

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Figure 12

The temporal transmittance at Boundary 2 for Cases D1, D2, D3, and D4 with different optical thicknesses

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Figure 11

The temporal radiative intensity along directions θ=0deg and 1deg at Boundary 2 with ω=0.05 and 0.95

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Figure 10

The temporal transmittance at Boundary 2 for collimated periodic Gaussian incident serial pulse with different scattering albedos

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Figure 9

The temporal intensity distributions along directions θ=180deg and 179deg at Boundary 1 for Cases B3 and B4

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Figure 8

The temporal reflectance at Boundary 1 for Cases B2 and B4 with specular reflection of Boundary 2 compared with those for Cases B1 and B3

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Figure 7

The temporal radiative intensity at Boundary 2 with θ=0deg, 1deg, 5deg, 15deg, 30deg, and 45deg for Case B1 with collimated periodic square serial-pulse incidence (a), with θ=0deg, 1deg, 10deg, 20deg, 40deg, and 60deg for Case B3 with collimated periodic Gaussian serial-pulse incidence (b)

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Figure 6

The transient intensity distributions in all directions within [0deg, 90deg) at boundary 2 (z=z0) for Cases B1 (a) and B3 (b)

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Figure 5

DRESOR distributions for Case B1 at different locations (a) and different times (b)

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Figure 4

DRESOR values for Cases B1 (a) and B2 (b)

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Figure 3

The intensity distributions of collimated incident serial pulse for periodic Gaussian and square

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Figure 2

Validation by comparison of the transient incident radiation obtained by the DRESOR method and MCM for Case A1

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Figure 1

The geometry and coordinate system

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