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Tuesday, August 4, 2020 | History

3 edition of Two-flux and Green"s function method for transient radiative transfer in a semitransparent layer found in the catalog.

Two-flux and Green"s function method for transient radiative transfer in a semitransparent layer

Robert Siegel

Two-flux and Green"s function method for transient radiative transfer in a semitransparent layer

by Robert Siegel

  • 18 Want to read
  • 21 Currently reading

Published by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, D.C, Springfield, Va .
Written in English

    Subjects:
  • Conductive heat transfer.,
  • Convective heat transfer.,
  • Radiative transfer.,
  • Cooling.,
  • Temperature distribution.,
  • Transient heating.,
  • Absorptivity.

  • Edition Notes

    Other titlesTwo flux and Green"s function method for transient radiative transfer in a semitransparent layer
    StatementRobert Siegel.
    SeriesNASA-TM -- 111700, NASA technical memorandum -- 111700..
    ContributionsUnited States. National Aeronautics and Space Administration.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17124862M

    The Equation of Radiative Transfer The method used in this study to solve the equation of radiative transfer is the successive orders of scattering technique. It was chosen for two main reasons; 1) it is physically intuitive, especially as the physics remains clear through the mathematical formalism, and hence relatively easy to code; and 2) it. ANALYTICAL HEAT TRANSFER Mihir Sen Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame, IN May 3,

      Heat conductivity in a wall is a traditional problem, and there are different numerical methods to solve it, such as finite difference method, 1,2 harmonic method, 3,4 response coefficient method, 5 –7 Laplace’s method, 8,9 and Z-transfer function. 10,11 But in some way, they are not easy to use because calculating time is strongly limited by time step and mesh size, regular temperature Cited by: 2. 10 ⋅ Solution of the Equation of Radiative Transfer Figure shows the geometry for a plane-parallel slab. Note that there are inward (µ0) directed streams of radiation. The boundary conditions necessary for the solution are specified at τν = 0, and τν = τ0. Since the equation of transfer is a first order linear equation, only oneFile Size: KB.

    Solving Transient Conduction And Radiation Using Finite Volume Method 83 transfer, the finite volume method (FVM) is extensively used to compute the radiative information. This method is a variant of the DOM. It does not suffer from the false-scattering as in DOM and the ray-effect is also less pronounced as compared to other Size: 1MB. The Radiative Transfer Equation Ross Bannister, January/April Derivation of the radiative transfer equation As a pencil of radiation traverses a layer of the atmosphere, the radiance is modified in three ways (acting to either increase (+) or decrease (-) the radiation). • Size: 19KB.


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Two-flux and Green"s function method for transient radiative transfer in a semitransparent layer by Robert Siegel Download PDF EPUB FB2

Effect of scattering on temperature distributions in The two-flux method was used to obtain transient solu- a layer initially at uniform temperature after exposure to lions for a plane layer including internal reflections and scat- radiation on one side and convective cooling on the other by: Two-flux and Green's function method for transient radiative transfer in a semitransparent layer.

[Robert Siegel; United States. National Aeronautics and Space Administration.]. The two-flux method was used to obtain transient solutions for a plane layer including internal reflections and scattering. The layer was initially at uniform temperature, and was heated or cooled by external radiation and convection.

The two-flux equations were examined as a means for evaluating the radiative flux gradient in the transient energy equation. A method using a Green's function is developed for computing transient temperatures in a semitransparent layer by using the two-flux method coupled with the transient energy equation.

Each boundary of the layer is exposed to a hot or cold radiative environment Cited by: 9. A method using a Green's function is developed for computing transient temperatures in a semitransparent layer by using the two-flux method coupled with the transient energy equation. Each boundary of the layer is exposed to a hot or cold radiative environment Author: Robert Siegel.

and convection. The two-flux radiative transfer equations are solved by deriving a Green's function. This yields the local radiative heat source needed to numerically solve the transient energy equation.

An advantage of the two-flux method is that isotropic scattering is included without added complexity. The layer refractive indices are larger than one. Discrete ordinates solution of coupled conductive radiative heat transfer in a two-layer slab with Fresnel interfaces subject to diffuse and obliquely collimated irradiation Journal of Quantitative Spectroscopy and Radiative Transfer, Vol.

84, No. 4Cited by: The two-flux radiative transfer equations are solved by deriving a Green's function. This yields the local radiative heat source needed to numerically solve the transient energy equation. An advantage of the two-flux method is that isotropic scattering is included without added complexity.

The layer refractive indices are larger than by: The two-flux radiative transfer equations are solved by deriving a Green's function. This yields the local radiative heat source needed to numerically solve the transient energy equation.

An advantage of the two-flux method is that isotropic scattering is included without added complexity. The layer refractive indices are larger than : Robert Siegel. This work considers transient radiative and conductive heat transfer in a semitransparent layer of ceramic, submitted to several thermal and radiative boundary conditions.

Siegel, R.,“Two-Flux and Green’s Function Method for Transient Radiative Transfer in a Semitransparent Layer,” Proceedings of the 1 st International Symposium on Radiative Transfer, Kus¸adasi, Turkey, Radiative Transfer I, Begeil House, New York, pp.

–Cited by: Two-flux and Green's function method for transient radiative transfer in a semitransparent layer [microf Prediction of the thermal environment and thermal response of simple panels exposed to radiant heat [mic Two-flux Green's function analysis for transient spectral radiation in a composite [microform] / R.

Siegel. Transient coupled radiative and conductive heat transfer in a three-layer absorbing and isotropically scattering composite with semitransparent specular interfaces and surfaces is investigated. The transient energy equation is solved by the full implicit control-volume method in combination with spectral band by: method, and transient solutions were obtained for optical thicknesses of a plane layer up to 8.

For optical thicknesses up to 50, a Green's function method was developed (ref. Transient two-flux solutions were compared with exact numerical solutions of the radiative transfer equations from reference 4, and very good agreement was obtained. This. The transient coupled radiative and conductive heat transfer in a semitransparent composite under the complex boundary conditions is investigated by the ray tracing method in combination with Hottel’s zonal method and the control-volume method.

The composite is composed of two plane layers of nonscattering semitransparent media with the different thermophysical properties in each : Ping-Yang Wang, He-Ping Tan, Xin-Lin Xia. A Green's function solution is derived for the two-flux radiative transfer equations, and this solution is coupled with the transient energy equation.

The refractive indices of the layers are. Transient combined conduction and radiation with anisotropic scattering. Jen-Hui Tsai and Cited by: full radiative transfer problem had to be solved anew in each iteration because the lower boundary condi-tion had changed.

In this paper, we use the Green’s function method to derive an analytical solution for the radiance over a surface with arbitrary reflective properties. The concept of the Green’s function, developed in neutron.

A Green`s function solution is derived for the two-flux radiative transfer equations, and this solution is coupled with the transient energy equation. The refractive indices of the layers are larger than one, and the analysis includes internal reflections at the boundaries and.

In combination with ray tracing method, spectral band model and the Hottel and Sarofim's zonal method, the radiative transfer coefficients (RTCs) of the multi-layer composite are deduced.

The RTCs are used to calculate the radiative heat source term in the transient energy control equation, which is solved by the fully implicit discrete control Cited by:.

Loureiro FF, Mansur WJ () A new family of time integration methods for heat conduction problems using numerical green’s function. Comput Mech – zbMATH MathSciNet Google Scholar Chapter 1 Basics of radiation transfer theory Planck function: blackbody radiation The source function S is the value that the intensity acquires in a homogeneous medium when τ # 1.

From thermodynamics we know that this radiation field must be a thermal and this radiation goes through a layer File Size: 70KB.two-flux and green's function method for transient radiative transfer in a semitransparent layer transient radiative transfer sunil kumar, kunal mitra doi: /ichmtradtransfproc $ inverse problems of radiative transfer in absorbing, emitting and scattering media m.

n. ozisik, j. c. bokar.