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On the stability of natural circulat...
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Haskin, Troy C.
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On the stability of natural circulation loops with phase change.
Record Type:
Electronic resources : Monograph/item
Title/Author:
On the stability of natural circulation loops with phase change./
Author:
Haskin, Troy C.
Published:
Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:
135 p.
Notes:
Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
Contained By:
Dissertation Abstracts International78-04B(E).
Subject:
Nuclear engineering. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10240552
ISBN:
9781369341614
On the stability of natural circulation loops with phase change.
Haskin, Troy C.
On the stability of natural circulation loops with phase change.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 135 p.
Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
Thesis (Ph.D.)--The University of Wisconsin - Madison, 2016.
The stability of a simple, closed-loop, water-cooled natural circulation system was characterized over a range of single phase and two-phase states. The motivation for this investigation is a Next Generation Nuclear Plant safety cooling system called the Reactor Cavity Cooling System (RCCS). One of the proposed designs for the RCCS is a closed-circuit of network piping using water as a working fluid. One of the safety considerations for such a system is the stability of the system at steady-state under a large number of unknown states. This work provides a derivation of the commonly used one-dimensional conservation laws used in thermohydraulic system modeling and a novel discretization scheme that allows for exact integration of the computational domain for accurate calculation of eigenvalues of a linearized system. The steady-state solution of the discretized equations is then performed using a fully nonlinear Jacobian-Free Newton Krylov Method for a number of temperatures, pressures, and heat loads both in single and two-phase conditions. All of the single and two-phase state exhibit linear stability to small perturbations in values. The linear stability is also found to increase with increasing heat load due to the greater inertia of the system damping out small perturbation effectively and with increasing pressure due to the greater stiffness of the fluid. Nonlinear stability was also examined for a point power insertion of varying intensity from two steady-states. The loop exhibited stability for all power insertions from both steady-states, returning to the initial steady value shortly after the pulse.
ISBN: 9781369341614Subjects--Topical Terms:
595435
Nuclear engineering.
On the stability of natural circulation loops with phase change.
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The stability of a simple, closed-loop, water-cooled natural circulation system was characterized over a range of single phase and two-phase states. The motivation for this investigation is a Next Generation Nuclear Plant safety cooling system called the Reactor Cavity Cooling System (RCCS). One of the proposed designs for the RCCS is a closed-circuit of network piping using water as a working fluid. One of the safety considerations for such a system is the stability of the system at steady-state under a large number of unknown states. This work provides a derivation of the commonly used one-dimensional conservation laws used in thermohydraulic system modeling and a novel discretization scheme that allows for exact integration of the computational domain for accurate calculation of eigenvalues of a linearized system. The steady-state solution of the discretized equations is then performed using a fully nonlinear Jacobian-Free Newton Krylov Method for a number of temperatures, pressures, and heat loads both in single and two-phase conditions. All of the single and two-phase state exhibit linear stability to small perturbations in values. The linear stability is also found to increase with increasing heat load due to the greater inertia of the system damping out small perturbation effectively and with increasing pressure due to the greater stiffness of the fluid. Nonlinear stability was also examined for a point power insertion of varying intensity from two steady-states. The loop exhibited stability for all power insertions from both steady-states, returning to the initial steady value shortly after the pulse.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10240552
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