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谈和平, L.H. Liu*, H.P. Tan, Q.Z. Yu
International Journal of Heat and Mass Transfer 46(2003)2917-2920,-0001,():
-1年11月30日
A Monte Carlo curved ray-tracing method is used to analyze the radiative heat transfer in one-dimensional absorbing-emitting-scattering semitransparent slab with variable spatial refractive index. A problem of radiative equilibrium with linear variable spatial refractive index is taken as an example in this paper. The predicted temperature distributions are determined by the proposed method and compared with the data in references. The results show that influences of refractive index gradient are important and the influences increase with the refractive index gradient, the temperature distribution approaches to the one obtained for a constant refractive index when the slab optical thickness is far greater than 1.0, and the effect of the scattering phase function is similar to that in the medium with constant refractive index.
Semitransparent medium, Variable spatial refractive index, Monte Carlo method, Curved ray-tracing method
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谈和平, Lin-Hua Liu*, He-Ping Tan
Int. J. Therm. Sci. (2001) 40, 877-889,-0001,():
-1年11月30日
The transient thermal responses in a two-dimensional semitransparent cylinder with black boundary surfaces caused by a pulse irradiation at one end of the cylinder are studied. The processes of the transient coupled radiative-conductive heat transfer in the cylinder are analyzed numerically. An implicit central-difference scheme is employed for handling the energy equation, while a discrete-ordinates method is used to solve the radiative transfer equation. The effects of various parameters on the transient thermal responses are investigated. It is found that, due to the radiation within medium, the transient temperature of the nonirradiated end surface of the cylinder can be greater than that of the inner medium of cylinder. Temperature evolution curves with two peaks can be observed under some conditions at the nonirradiated end of the cylinder. The effects of the conduction-radiation parameter, the optical thickness and refractive index on the transient temperature responses are large. The effects of single-scattering albedo are more significant for the radiation-dominated case than that for the conduction-dominated case.
transient temperature response/, coupled radiation and conduction/, transient heat transfer/, semitransparent medium
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【期刊论文】Internal distribution of radiation absorption in one-dimensional semitransparent medium
谈和平, L.H. Liu*, H.P. Tan, Q.Z. Yu
International Journal of Heat and Mass Transfer 45(2002)417-424,-0001,():
-1年11月30日
The internal distribution of spectral radiation absorption in one-dimensional semitransparent slab, sphere and cylinder irradiated uniformly and isotropically is determined by the ray tracing method, and the detailed theory for computation are deduced. The computed results show that the internal distribution of spectral radiation absorption in slab differs from that in spherical and cylindrical particles. The peak of internal volumetric spectral radiation absorption may locate at interior shell of the semitransparent sphere and cylinder. The dimensionless volumetric spectral radiation absorption is higher near the center for weakly absorbing or small size parameter, but is higher near the surface for strongly absorbing or large spheres and cylinders. Refraction focuses the rays close to the sphere and cylinder center. With the increases of the refractive index, the dimensionless volumetric spectral radiation absorption increases near the sphere and cylinder centers and decreases near the sphere and cylinder surfaces.
Semitransparent slab, Semitransparent Sphere, Semitransparent cylinder, Radiant absorption, Ray tracing method
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谈和平, L.H. Liu∗, H.P. Tan
Journal of Quantitative Spectroscopy & Radiative Transfer 83(2004)333-344,-0001,():
-1年11月30日
The transient temperature responses in a one-dimensional semitransparent slab with variable refractive index caused by a pulse irradiation are studied. The processes of the transient coupled radiative-conductive heat transfer in the semitransparent slab are analyzed numerically. An implicit central-difference scheme is employed for handling the energy equation, while a discrete curved ray-tracing method is used to solve the radiative transfer equation. The transient temperature responses in the case of constant refractive index are compared with those in the case of variable spatial refractive index. The results show that the spatial variation of refractive index has significant influences on the transient temperature responses of semitransparent slab. Omitting the spatial variation of refractive index may result in errors of transient temperature responses within semitransparent slab to some extent. The effects of optical thickness and refractive index gradient on the transient temperature responses are significant. Increasing the slab optical thickness, the effects of refractive index gradient on the transient temperature responses increase, especially for the non-incident surface.
Transient temperature response, Radiation-conduction coupled heat transfer, Transient heat transfer, Semitransparent medium, Variable refractive index medium
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谈和平, L.H. Liu*, H.P. Tan
Journal of Quantitative Spectroscopy & Radiative Transfer 71(2001)11-24,-0001,():
-1年11月30日
The non-Fourier effects on transient thermal response in semitransparent medium with black boundary surfaces caused by a periodic irradiation are studied. The processes of the transient coupled radiative-conductive heat transfer in a one-dimensional semitransparent slab with black boundaries are analyzed numerically. The hyperbolic heat conduction equation is solved by the flux-splitting method, and the radiative transfer equation is solved by the discrete ordinate method. The transient thermal responses obtained from hyperbolic heat conduction equation are compared with those obtained from the classical parabolic heat conduction equation. The results show that the non-Fourier effect can be important when the conduction-to-radiation parameter and the thermal relaxation time of heat conduction are larger. The non-Fourier effect can be important even at a long time after the initial transient if the periodic irradiation at boundary is oscillatory with the period of oscillation of the same order of magnitude as the thermal relaxation time of conduction.
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