Exact Solutions for One-Dimensional Gray Media

Modest, Michael F.; Mazumder, Sandip

doi:10.1016/b978-0-12-818143-0.00021-3

Cited by 1 publication

(1 citation statement)

References 47 publications

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“…The absorbing, emitting and anisotropic scattering medium is filled in concentric cylinders where the subscripts in and out refer to the inner and outer wall respectively. The RTE in cylindrical gray medium can be written as Modest (2013),…”

Section: Methodology Rte In Concentric Cylindrical Mediummentioning

confidence: 99%

Investigation of Coupled Radiationconduction Heat Transfer in Cylindrical Systems by Discontinuous Spectral Element Method

Zhao¹,

Sun²,

Li³

et al. 2022

Proceedings of Global Power &Amp; Propulsion Society

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Nowadays, in order to obtain a higher efficiency in aeroengines, the increase in the turbine inlet temperature of gas turbine engine is an urgent need. At present, the turbine inlet temperature is close to 2000K, which means the radiation and coupled radiationconduction heat transfer play more and more important roles in hot section of aeroengines. As we all konw, considering the cylindrical symmetry of the aeroengine. It is convenient to adopt the cylindrical coordinate to simplify the systems in aeroengines with cylindrical geometry, such as annular combustor and exhaust nozzle. In this paper, the Discontinuous Spectral Element Method (DSEM) is extended to solve the radiation and coupled radiationcoduction heat transfer in cylindrical coordinate systems. Both the spatial and angular computational domains of radiative transfer equation (RTE) are discretized and solved by DSEM. For coupled radiationconduction heat transfer problem, Discontinuous Spectral Element MethodSpectral Element Method (DSEMSEM) scheme is used to avoid using two sets of computational grids which would cause the increase of computational cost and the decrease of accuracy. Then, the effects of various geometric and thermal physical parameters are comprehensively investigated. Finally, these methods are further extended to 2D cylindrical system.

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Section: Methodology Rte In Concentric Cylindrical Mediummentioning

confidence: 99%