Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Typical instability observed in the BARC loop by varying power (from [9])

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Effect of the heat structures density on BARC loop unstable behavior (from [20])

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Discretization adopted for the BARC loop

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Effect of the heat structures heat capacity on unstable behavior for the BARC loop with CO2 (8.6 MPa, low-diffusion numerical scheme). Heat-transfer correlation by Jackson [35]: (a) full-structure heat capacity, (b) 1/2-reduced structure heat capacity, (c) 1/5-reduced structure heat capacity, and (d) 1/10-reduced structure heat capacity.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Eigenvalues of the matrix representing the linear dynamics of the BARC loop: effect of the structure heat capacity (heating power = 1400 W, secondary HTC=1000  W/m2 K, pressure = 8.6 MPa, low-diffusion numerical scheme): (a) overall distribution and (b) detail.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Reconstructed and most amplified eigenvector for the case with 1/10 structure heat capacity (BARC loop, heating power 1400 W, secondary HTC=1000  W/m2 K, pressure = 8.6 MPa): (a) normalized pressure, (b) normalized specific Enthalpy, (c) normalized flow rate, and (d) normalized wall temperature.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Stability maps for the BARC loop with two different numerical schemes (pressure = 8.6 MPa, 1/10 structure heat capacity): (a) low-diffusion numerical scheme and (b) first-order numerical scheme.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Schematic configuration of the heated channel

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Time trend of NTPC obtained by RELAP5 calculations with 1 mm thick wall and different values of the volumetric heat capacity (from [22]).

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Time trend of NTPC obtained by RELAP5 calculations for ρCp=4.2×103  J/m3 K, 1 mm thickness, and two numerical schemes (from [22]).

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Effect of the heat capacity of a 1 mm thick structure on unstable behavior for the heated channel with H2O (25 MPa): (a) full-heat capacity, (b) 1/2-reduced heat capacity, (c) 1/5-reduced heat capacity, and (d) 1/10-reduced heat capacity.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Eigenvalues of the matrix representing the linear dynamics of the heated channel effect of the structure heat capacity (heating power = 105 kW, inlet temperature = 553.15 K, pressure = 25 MPa, low-diffusion numerical scheme): (a) overall view and (b) detail.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Reconstructed and most amplified eigenvector for the case with 1/10 structure heat capacity: (a) normalized pressure, (b) normalized specific Enthalpy, (c) normalized flow rate, and (d) normalized wall temperature.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Stability maps for the single heated channel with two different numerical schemes (pressure = 25 MPa, 1/10 structure heat capacity): (a) low-diffusion numerical scheme and (b) first-order numerical scheme.

Date of download: 9/22/2017 Copyright © ASME. All rights reserved. From: On Some Relevant Effects in the Simulation of Flow Stability With Fluids at Supercritical Pressure ASME J of Nuclear Rad Sci. 2016;2(3):031005-031005-13. doi:10.1115/1.4032595 Figure Legend: Transient behavior of NTPC for the 2D heated channel with different assumptions for wall heat capacity and the numerical scheme (inlet temperature = 553.15 K and pressure = 25 MPa).