A Characteristics-Based Implicit Finite-Difference Scheme for the Analysis of Instability in Water Cooled Reactors

Dutta, Goutam; Doshi, J. B.

doi:10.5516/net.2008.40.6.477

Cited by 25 publications

(4 citation statements)

References 8 publications

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“…Therefore, the friction and acceleration pressure drops are recognized as the delayed pressure drops in the SCWR and can make the reactor unstable even though their combined magnitude is much lower than the gravitation pressure drop since the delayed pressure drop is considered to be responsible for DWOs. This is different from the case of the BWR, where the type-II instability for both FC and NC modes is due to the dominant friction pressure drop [29,30], whereas the type-I instability takes place due to the dominance of the gravitation pressure drop at the NC mode [26,[30][31][32]. Time-delayed transient distributions of pressure drops obtained with THRUST are shown in Fig.…”

Section: Variation Of Thermo-physical Properties In the Axial Directionmentioning

confidence: 85%

Analysis of flow induced density wave oscillations in the CANDU supercritical water reactor

Dutta

Zhang

Jiang

2015

Nuclear Engineering and Design

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In this paper, a 1-D thermal-hydraulic model, THRUST, is developed to simulate and analyze the CANDU supercritical water reactor (SCWR) from the thermodynamic point of view without considering the effect of neutronic coupling. THRUST, where a characteristic-based finite difference scheme is used, is validated against the available numerical results. The model is, then, used for the analysis of the CANDU SCWR with a primary focus to determine the conditions for potential density wave oscillations. Extensive numerical studies are performed to obtain the marginal stability boundary in the operating regime of the reactor. The effect of various parameters, such as, mass flow rate, operating pressure, axial heat flux profile, local pressure drop coefficient, and friction factor, on the stability thresholds of the reactor have been investigated.

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Section: Variation Of Thermo-physical Properties In the Axial Directionmentioning

confidence: 85%

Analysis of flow induced density wave oscillations in the CANDU supercritical water reactor

Dutta

Zhang

Jiang

2015

Nuclear Engineering and Design

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“…The steady-state solution methodology is explained in the flow chart, as mentioned in Figure 2(a). The shooting plus bracketing method 16,42 is employed throughout the axial domain to solve the discretized equations ( 5)- (7).…”

Section: Steady-state Solution Methodologymentioning

confidence: 99%

Steady-state and nonlinear stability analysis for the feasibility of different fluids in a supercritical natural circulation loop

Raghuvanshi

Dutta

Panda

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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A numerical model for a supercritical natural circulation loop is developed to examine the flow instabilities by nonlinear stability analysis. The supercritical natural circulation loop is a loop geometry, which is driven by natural circulation with supercritical fluids as a coolant. A mathematical formulation is developed to study the steady-state and transient solution procedure for supercritical natural circulation loop. This mathematical model is then used to perform various parametric studies with different supercritical fluids (water, [Formula: see text], R134a, ammonia, R22, propane, and isobutane). The behavior of all the fluids is analyzed on identical geometrical and operating conditions. A comprehensive numerical study of the nonlinear stability analysis is presented with particular emphasis on the feasibility of various fluids in a natural circulation loop environment. The 50% increment in loop diameter and height increased the stable operating zones and shifted the marginal stability boundary upward respectively by approximately three times and 25–40% of the previous value. However, further increase in diameter and height reduces the increment of stable operating zones; hence the marginal stability boundary shifts upward marginally than the previous value. Furthermore, the marginal stability boundaries are generated to identify the stable and unstable zones for the available geometrical and operating conditions.

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“…The present mathematical model is a simple one dimension nonlinear coupled balance mass, momentum and energy equations, which properties are varying along the axial direction. These balance equations are solved numerically [27][28][29][30][31][32][33].…”

Section: Development Of the Mathematical Modelmentioning

confidence: 99%

Mathematical modeling and numerical investigation of density wave instability of supercritical natural circulation loop

Kumar

Ahlawat

Kumar³

et al. 2021

E3S Web Conf.

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In present paper, a mathematical model based on the one dimensional nonlinear mass, momentum and energy conservation equations has been developed to study the density wave instability (DWI) in horizontal heater and horizontal cooler supercritical water natural circulation loop (HHHC-SCWNCL). The one dimensional nonlinear mass, momentum and energy conservation equations are discretized by using finite difference method (FDM). The numerical model is validated with the benchmark results (NOLSTA model). Numerical simulations are performed to find the threshold stability zone (TSZ) and draw the stability map for natural circulation loop. Further, effect of change in diameter and riser height on the density wave instability of SCWNCL has been investigated.

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A Characteristics-Based Implicit Finite-Difference Scheme for the Analysis of Instability in Water Cooled Reactors

Cited by 25 publications

References 8 publications

Analysis of flow induced density wave oscillations in the CANDU supercritical water reactor

Analysis of flow induced density wave oscillations in the CANDU supercritical water reactor

Steady-state and nonlinear stability analysis for the feasibility of different fluids in a supercritical natural circulation loop

Mathematical modeling and numerical investigation of density wave instability of supercritical natural circulation loop

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