Wavelets and the discrete ordinate method for the solution of radiative heat transfer through a participating medium

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dc.contributor.advisorBayazitoglu, Yildizen_US
dc.creatorWang, Yeen_US
dc.date.accessioned2009-06-04T08:35:16Zen_US
dc.date.available2009-06-04T08:35:16Zen_US
dc.date.issued1999en_US
dc.description.abstractWavelet method is applied to the study of radiative heat transfer and combined conductive-radiative heat transfer through the gray and nongray participating medium in one- and two-dimensional (1-D and 2-D) geometries. The participating medium is assumed to have an index of refraction of unity and to be absorbing, emitting, and nonscattering. The surfaces of 1-D infinite parallel plates and 2-D rectangular enclosure are assumed to be black and isothermal. The governing equations are the radiative transfer equation (RTE) and energy equation. The wavelet expansion is used to evaluate the spectral dependence of radiative intensity in RTE. And a set of differential equations about the expansion coefficients are developed by applying Galerkin method and discrete ordinates method (DOM). For 1-D problem, these equations are solved by finite difference method, and for 2-D problem, they are solved by finite volume method. The energy equation is solved simultaneously by applying the modified quasi-linearization algorithm (MQA) to obtain the temperature distribution and heat flux. The results for the cases of radiative equilibrium, uniform internal heat generation, and combined conductive-radiative heat transfer with gray and nongray medium are given and compared with those obtained by other methods. The optical thickness of the medium ranges from optical thin to optical thick. The conduction-radiation parameter varies from radiation-dominated to conduction-dominated situations. The method is proved to be a powerful tool in analyzing the radiative heat transfer through the nongray participating media. The results of 2-D nongray problems are first presented.en_US
dc.format.extent99 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS M.E. 1999 WANGen_US
dc.identifier.citationWang, Ye. "Wavelets and the discrete ordinate method for the solution of radiative heat transfer through a participating medium." (1999) Diss., Rice University. <a href="https://hdl.handle.net/1911/19460">https://hdl.handle.net/1911/19460</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/19460en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMechanical engineeringen_US
dc.titleWavelets and the discrete ordinate method for the solution of radiative heat transfer through a participating mediumen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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