Masters Theses
Date of Award
12-2012
Degree Type
Thesis
Degree Name
Master of Science
Major
Engineering Science
Major Professor
Allen Jerome Baker
Committee Members
Kwai Lam Wong, Jay I. Frankel
Abstract
Extremization of a weak form for the continuum energy conservation principle differential equation naturally implements fluid convection and radiation as flux Robin boundary conditions associated with unsteady heat transfer. Combining a spatial semi-discretization via finite element trial space basis functions with time-accurate integration generates a totally node-based algebraic statement for computing. Closure for gray body radiation is a newly derived node-based radiosity formulation generating piecewise discontinuous solutions, while that for natural-forced-mixed convection heat transfer is extracted from the literature. Algorithm performance, mathematically predicted by asymptotic convergence theory, is subsequently validated with data obtained in 24 hour diurnal field experiments for distinct thickness flat plates and a cube-shaped three dimensional object.
Recommended Citation
Freeman, Elton Lewis, "Validation of Weak Form Thermal Analysis Algorithms Supporting Thermal Signature Generation. " Master's Thesis, University of Tennessee, 2012.
https://trace.tennessee.edu/utk_gradthes/1377
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