HIGHER ORDER DIFFERENTIAL APPROXIMATION OF RADIATIVE ENERGY TRANSFER IN A CYLINDRICAL GRAY MEDIUM

Simple item page
dc.creatorHIGENYI, JAMES K. D.
dc.date.accessioned2007-05-09T19:24:42Z
dc.date.available2007-05-09T19:24:42Z
dc.date.issued1980
dc.description.abstractThe spherical harmonics method is applied to develop and solve approximate differential equations of radiative transfer in an emitting, absorbing, isotropically scattering and gray medium. Boundary conditions of Marshak type consistent with a particular approximation are derived and used in the solutions. Three types of thermal conditions for the medium are considered: radiative equilibrium, uniform heat generation and a parabolic internal heat generation. Two higher order approximations, P(,3) and P(,5) approximations, are formulated and solved for one-dimensional problems; the medium is bounded by concentric or hollow cylindrical surfaces. Numerical results exhibit great improvement for the P(,3) approximation over the P(,1) approximation and a less rapid improvement for the P(,5) approximation. An axially symmetric problem is also analysed. In this case, only the P(,1) approximation is considered for a gray medium within a finite hollow or finite concentric cylindrical enclosure. The numerical results show that the accuracy of the differential approximation is of the same order for both the axially symmetric and one-dimensional problems under the same geometric and thermal conditions.
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS M.E. 1980 HIGENYI
dc.identifier.citationHIGENYI, JAMES K. D.. "HIGHER ORDER DIFFERENTIAL APPROXIMATION OF RADIATIVE ENERGY TRANSFER IN A CYLINDRICAL GRAY MEDIUM." (1980) Diss., Rice University. <a href="https://hdl.handle.net/1911/15552">https://hdl.handle.net/1911/15552</a>.
dc.identifier.urihttps://hdl.handle.net/1911/15552
dc.language.isoeng
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.
dc.subjectMechanical engineering
dc.titleHIGHER ORDER DIFFERENTIAL APPROXIMATION OF RADIATIVE ENERGY TRANSFER IN A CYLINDRICAL GRAY MEDIUM
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMechanical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
8018056.PDF
Size:
3.34 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Electronic Theses and Dissertations