High-Fidelity Simulation of Flow-Induced Vibrations in Helical Steam Generators for Small Modular Reactors

Abstract Flow-induced vibration (FIV) is a widespread problem in energy systems as they rely on fluid movement for energy conversion. Vibrating structures may be damaged as fatigue or wear occur. Given the importance of reliable components in the nuclear industry, FIV has long been a major concern in the safety and operation of nuclear reactors. In particular, nuclear fuel rods and steam generators have been known to suffer from FIV and related failures. In this paper we discuss the use of the computational fluid dynamics code Nek5000 coupled to the structural code Diablo to simulate the flow in helical coil heat exchangers and associated FIV. In particular, one-way coupled calculations are performed, where pressure and tractions data are loaded into the structural model. The main focus of this paper is on validation of this capability. Fluid-only Nek5000 large eddy simulations are first compared against dedicated high-resolution experiments. Then, one-way coupled calculations are performed with Nek5000 and Diablo for two data sets that provide FIV data for validation. These calculations were aimed at simulating available legacy FIV experiments in helical steam generators in the turbulent buffeting regime. In this regime one-way coupling is judged sufficient since the pressure loads do not cause substantial displacements. It is also the most common source of vibration in helical steam generators at the low flows expected in integral pressurized water reactors. We discuss validation of two-way coupled experiments and benchmarks toward the simulation of fluid elastic instability. We briefly discuss the application of these methods to grid-to-rod fretting.

[1]  Emilio Baglietto,et al.  Flow Induced Vibration Forces on a Fuel Rod by LES CFD Analysis , 2011 .

[2]  M. P. Païdoussis,et al.  Fluidelastic vibration of cylinder arrays in axial and cross flow: State of the art , 1981 .

[3]  C. E. Taylor,et al.  Vibration analysis of shell-and-tube heat exchangers: an overview—Part 2: vibration response, fretting-wear, guidelines , 2003 .

[4]  S. Benhamadouche,et al.  A synthetic-eddy-method for generating inflow conditions for large-eddy simulations , 2006 .

[5]  Thomas J. R. Hughes,et al.  Nonlinear finite element analysis of shells: Part I. three-dimensional shells , 1981 .

[6]  Aaron Weiss,et al.  On the flow induced vibration of an externally excited nuclear reactor experiment , 2018, Nuclear Engineering and Design.

[7]  Steven A. Orszag,et al.  Numerical Simulation of Low Mach Number Reactive Flows , 1997 .

[8]  S. S. Chen,et al.  Flow-Induced Vibration of Circular Cylindrical Structures , 1987 .

[9]  Philippe M. Bardet,et al.  Validation Facility and Model Development for Nuclear Fuel Assembly Response to Seismic Loading , 2015 .

[10]  Alexander F. Vakakis,et al.  Computational study of vortex-induced vibration of a sprung rigid circular cylinder with a strongly nonlinear internal attachment , 2013 .

[11]  G B Watson FUNCTIONAL PERFORMANCE OF THE HELICAL COIL STEAM GENERATOR CONSOLIDATED NUCLEAR STEAM GENERATOR (CNSG) IV SYSTEM , 1975 .

[12]  Leonhard Kleiser,et al.  LES of transitional flows using the approximate deconvolution model , 2004 .

[13]  Elia Merzari,et al.  High-resolution coupled physics solvers for analysing fine-scale nuclear reactor design problems , 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[14]  L. K. Grover,et al.  Cross-flow induced vibrations in a tube bank—Turbulent buffeting and fluid elastic instability , 1978 .

[15]  M. P. Païdoussis,et al.  A review of flow-induced vibrations in reactors and reactor components , 1983 .

[16]  S. Turek,et al.  Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow , 2006 .

[17]  M. J. Pettigrew,et al.  Vibration analysis of shell-and-tube heat exchangers: an overview—Part 1: flow, damping, fluidelastic instability , 2003 .

[18]  P. Holmes,et al.  The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .

[20]  Fabio Nobile,et al.  Added-mass effect in the design of partitioned algorithms for fluid-structure problems , 2005 .

[21]  P. Fischer,et al.  Petascale algorithms for reactor hydrodynamics , 2008 .

[22]  Haomin Yuan,et al.  Coupled Calculations in Helical Steam Generator: Validation on Legacy Data , 2016 .

[23]  E. Ramm,et al.  Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows , 2007 .

[24]  J. A. Jendrzejczyk,et al.  Tube vibration in a half-scale sector model of a helical tube steam generator , 1983 .

[25]  Einar M. Rønquist,et al.  An Operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow , 1990 .

[26]  S. Takahara,et al.  Fluid elastic vibration of tube array in cross flow , 1981 .