Variational-iterative method for conductive-radiative heat transfer in spherical inhomogeneous medium

被引：4
|
作者：
El-Wakil, SA [1 ]
Abulwafa, EM [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Mansoura, Egypt
来源：
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER | 2000年 / 14卷 / 04期
关键词：
Anisotropy - Boundary conditions - Heat conduction - Heat flux - Nonlinear equations - Polynomials - Refractive index - Shells (structures) - Variational techniques;
D O I：
10.2514/2.6568
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The coupled of conductive and radiative heat transfer in an inhomogeneous, anisotropically scattering gray medium contained in a spherical shell of diffusively reflecting boundaries having constant temperatures is considered. The variational method is used to solve the radiative problem using trial functions in terms of the Pomraning solution of the differential form of the free-source problem. The nonlinearity problem between the radiative transfer equation and the conductive energy equation is solved using an iterative method. These values of the radiative net flux are used to find new values for the temperature distribution.
引用
收藏
页码：612 / 615
页数：4
相关论文
共 50 条
  • [41] NONLINEAR HEAT TRANSFER BY THE ITERATIVE VARIATIONAL METHOD.
    Liu, C.Y.
    1978,
  • [42] The Simplified Spherical Harmonics Method For Radiative Heat Transfer
    Modest, Michael F.
    Lei, Shenghui
    EUROTHERM CONFERENCE NO. 95: COMPUTATIONAL THERMAL RADIATION IN PARTICIPATING MEDIA IV, 2012, 369
  • [43] Use of wavelets for analyzing transient radiative heat in transfer in an inhomogeneous medium
    Guven, O
    Bayazitoglu, Y
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2004, 126 (04): : 648 - 651
  • [44] Existence theory for the solution of a stationary nonlinear conductive-radiative heat-transfer problem in three space dimensions
    Thompson, M
    Segatto, C
    de Vilhena, MT
    TRANSPORT THEORY AND STATISTICAL PHYSICS, 2004, 33 (5-7): : 563 - 576
  • [45] Variational Iteration Method for Infrared Radiative Transfer in a Scattering Medium
    Zhang, Feng
    Shi, Yi-Ning
    Li, Jiangnan
    Wu, Kun
    Iwabuchi, Hironobu
    JOURNAL OF THE ATMOSPHERIC SCIENCES, 2017, 74 (02) : 419 - 430
  • [46] COMBINED CONDUCTIVE AND RADIATIVE HEAT-TRANSFER IN AN ABSORBING AND SCATTERING MEDIUM
    ROUX, JA
    SMITH, AM
    MECHANICAL ENGINEERING, 1977, 99 (10) : 105 - 106
  • [47] RADIATIVE-CONDUCTIVE HEAT TRANSFER IN A MEDIUM WITH SELECTIVE OPTICAL PROPERTIES
    MEN, AA
    SERGEEV, OA
    HIGH TEMPERATURE, 1971, 9 (02) : 319 - &
  • [48] A fast multilevel algorithm for the solution of nonlinear systems of conductive-radiative heat transfer equations in two space dimensions
    Banoczi, JM
    Kelley, CT
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 20 (04): : 1214 - 1228
  • [49] Numerical solution of radiative and conductive heat transfer in concentric spherical and cylindrical media
    Aouled-Dlala, N.
    Sghaier, T.
    Seddiki, E.
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2007, 107 (03): : 443 - 457
  • [50] Theoretical study of combined radiative conductive and convective heat transfer in semi-transparent porous medium in a spherical enclosure
    Sghaier, T
    Chérif, B
    Sifaoui, MS
    JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 75 (03): : 257 - 271
12345