An Analytical Model for Fusion First-Wall Temperature Calculations (Conduction)
Carroll, Matthew Charles
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https://hdl.handle.net/2142/70135
Description
Title
An Analytical Model for Fusion First-Wall Temperature Calculations (Conduction)
Author(s)
Carroll, Matthew Charles
Issue Date
1986
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Mechanical
Abstract
A primary analytical thermal analysis model is presented which allows for calculation of temperatures in fusion reactor first walls. The model utilizes input quantities based on plasma physics calculations and couples a two-and-one-half-dimensional geometric analysis with a one-dimensional heat conduction analysis in determining temperature profiles over the surface of and within materials used to confine the plasma and vacuum. Given materials-related temperature limitations, methods are also provided for calculating maximum allowable wall power loadings. The results are primarily applicable to the steady-state operation of magnetic confinement devices such as tokamaks.
In the geometric analysis, effects of wall geometry, toroidal curvature, and wall corrugation were considered in computing local wall loadings for bremsstrahlung, cyclotron radiation, charged particles, and neutrons, the four main types of energy generated within fusion plasmas. It was found that local loadings vary up to about 20% from the calculated averages. Temperature solutions based on these loadings were readily obtained in rectangular coordinates. In cylindrical and spherical coordinates, they were developed by expanding the bremsstrahlung heat generation term, which consisted of a finite series of decaying exponentials, into a MacLaurin series and utilizing the principle of superposition after generating an infinite series of functions. A sequential calculation scheme was employed in lieu of traditional matrix methods in determining temperature distributions in composite walls.
The model and corresponding solution methods were applied in analyzing three fusion reactor designs recently proposed. Significant gains in accuracy were indicated over thermal analysis methods previously used.
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