Perturbation Analysis of Nonlinear Reactor Kinetics with Doppler Feedback.

Authors: Edward Paul Nemeth; NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Abstract:

The analysis of nonlinear reactor kinetics with Doppler feedback is developed by the use of the Poincare-Lindstedt perturbation technique. The two types of temperature dependent reactivity coefficients to be investigated are dk/dT proportional to 1/T and dk/dT proportional to 1/(T to the 3/2 power)). Each of these reactivity models are analyzed for the reactor with positive and negative coefficients of reactivity and infinite slab and finite cylindrical geometries. The Poincare-Lindstedt perturbation solution is constructed in the form of an expansion about the unperturbed state of the reactor. Each of the perturbed equilibrium solutions is subsequently analyzed for stability. (Author)

Description:

Master's thesis

Pages:

109

Report Date:

JUN 1972

Report Number:

0625747

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Keywords relating to this report:

(*REACTOR KINETICS

_*REACTOR KINETICS

DOPPLER EFFECT

MATRICES_MATHEMATICS_

MULTIPLICATION FACTOR

NEUTRON FLUX

NUMERICAL ANALYSIS

PARTIAL DIFFERENTIAL EQUATIONS