Presentation is loading. Please wait.

Presentation is loading. Please wait.

1 Numerical study of the thermal behavior of an Nb 3 Sn high field magnet in He II Slawomir PIETROWICZ, Bertrand BAUDOUY CEA Saclay Irfu, SACM 91191 Gif-sur-Yvette.

Published byPeter Berry Modified over 8 years ago

Similar presentations

Presentation on theme: "1 Numerical study of the thermal behavior of an Nb 3 Sn high field magnet in He II Slawomir PIETROWICZ, Bertrand BAUDOUY CEA Saclay Irfu, SACM 91191 Gif-sur-Yvette."— Presentation transcript:

1 1 Numerical study of the thermal behavior of an Nb 3 Sn high field magnet in He II Slawomir PIETROWICZ, Bertrand BAUDOUY CEA Saclay Irfu, SACM 91191 Gif-sur-Yvette Cedex, France slawomir.pietrowicz@cea.fr CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN

2 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 2

3 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 3

4 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Motivation ▫ Within the framework of the European project EuCARD, a Nb 3 Sn high field accelerator magnet is under design to serve as a test bed for future high field magnets and to upgrade the vertical CERN cable test facility, Fresca 2. ▫ Calculation of the maximum temperature rise in the magnet during AC losses. ▫ Calculation of magnet thermal – flow behavior during the quench detection event. ▫ Implementation of superfluid helium in comercial software - ANSYS CFX software. 4

5 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 5

6 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Two – fluid model 6

7 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 7

8 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Simplified model of He II (Kitamura et al.) 8

9 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN The system of equation for He II simplified model 9

10 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 10

11 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Validation of the simplified model 11

12 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Validation of the simplified model q = 0.70 W/cm 2 q = 1.39 W/cm 2 q = 2.09 W/cm 2 (near CHF) 12 Solid domain Solid domain Solid domain Temperature distribution in He II and solid (partially) domains for the temperature of 1.95 K and 0.70, 1.39 and 2.09 W/cm2 of heat fluxes at steady state condition

13 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Validation of the simplified model 13 Top Bottom The velocity distribution and the streamlines of total velocity, superfluid and normal components in the region near the bottom and the top of He II domain for the highest heat flux of 2.09 W/cm 2 Total velocity Superfluid component Normal component

14 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Validation of the simplified model Applied heat flux (u n – u s ) q=  s sT(u n -u s ) Error at bottomat topat bottomat topat bottomat top W/m 2 m/s W/m 2 % 208770,6240,19320826208770,250,000 139180,1320,12913935139180,120,000 69590,0660,065707870111,710,007 14 Applied heat flux Maximum temperature Error AnalyticalNumerical W/m 2 KK% 208772,15002,13710,602 139181,9823 0,002 69591,9540 0,000 The comparison between analytical and numerical maximum temperature for applied heat flux at the bottom of solid domain One dimensional turbulent heat transport equation analitycal solution The comparison between applied and calculated (from difference between normal and superfluid components) heat fluxes at the bottom and top of He II domain

15 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 15

16 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Description of Fresca II magnet 16 MAGNET SPECIFICATION type: block coil, 156 conductors in one pole; free aperture: 100 mm; total length: 1600 mm; outside diameter: 1030 mm; magnetic field: 13 T; OPERATING PARAMETERS coolant: superfluid and/or saturated helium; temperature: 1.9 K and/or 4.2 K; temperature operating margin: 5.84 at 1.9 K and 3.54 K at 4.2 K

17 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN 3D computational region, assumption and boundary conditions 17 Geometry and boundary conditions applied during simulations Assumptions Two types of boundary conditions: 1.Constant bath temperature of 1.9 K on walls (red lines); 2.Symmetry (yellow lines); Thermal conductivity as function of temperature; Perfect contact between solid elements; Calculations are carried out for CUDI model (AC loss due to ISCC losses, non- homogenous spreads) He II between yoke and pad laminations (200  m) He II region Cross –section of the numerical domains

18 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Mesh 18 About 2 mln of structural elements 2.5 mln of nodes

19 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Thermal conductivity of materials 19 Source: Cryocomp Software v 3.06 Metalpak Software v 1.00

20 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Numerical results 20 The distribution map of temperature in the magnet (the plane is located on symmetry of helium side) Details of the temperature map in the conductors Details of the temperature map in the conductor for solid model (S. Pietrowicz, B. Baudouy, Thermal design of an Nb 3 Sn high field accelerator magnet, CEC Conference, 2011, Spokane, USA)

21 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Numerical results 21 Total velocity Superfluid component Normal component

22 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 22

23 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Modeling of thermal process during quench heating – unsteady state model 23 Assumptions Two types of boundary conditions: 1.Constant temperature of the bath and Kapitza resistance on walls (red lines); 2.Symmetry (yellow lines); Thermal conductivity and capacity as a function of temperature; Perfect contact between solid elements; Bath temperature 1.9 K Heating power of quench heaters 50 W/cm 2 (the magnet is heated 25 ms after quench detection) Heaters Localization of the heaters Details of the mesh Dimensions of the heater and base of heater

24 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Thermal capacity of the materials 24

25 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Modeling of thermal process during quench heating – unsteady state model 25 Heating

26 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Modeling of thermal process during quench heating – unsteady state model 26 4 – 5 ms Has to be validated Temperature evolution at selected points

27 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Outline ▫ Motivation ▫ Two – fluid model ▫ Simplified model of He II ▫ Validation of simplified model Steady state modeling ▫ Modeling of thermal – flow process during AC losses in Nb 3 Sn magnet – steady state ◦ Description of Fresca II magnet; ◦ 3D computational region, assumption and boundary conditions; ◦ Mesh; ◦ Numerical results. Unsteady state modeling ▫ Modeling of thermal process during quench heating – unsteady state model ◦ Geometry and mesh; ◦ Numerical results. ▫ Conclusions 27

28 S.Pietrowicz, CHATS on Applied Superconductivity (CHATS-AS), October 12-14 2011, CERN Conclusions ▫ The simplified model for calculations of the thermal – flow phenomena was developed and applied in ANSYS CFX Software which is based on FVM (Finite Volume Method) ▫ The model has been validated on the simple geometry and compared with the analytical solution. The maximum error is varied between 0.6 and 1.7 %. ▫ The calculation at steady state conditions for the CUDI model of AC losses of Nb 3 Sn magnet – Fresca II has been carried out. In comparison to (with) the solid model (without helium), adding He II to the structure decreased maximum temperature rise. ▫ The simulation of transient process in He II during the quench heating has been performed. 28

Download ppt "1 Numerical study of the thermal behavior of an Nb 3 Sn high field magnet in He II Slawomir PIETROWICZ, Bertrand BAUDOUY CEA Saclay Irfu, SACM 91191 Gif-sur-Yvette."

Similar presentations

Finite Element Radiative and Conductive Module for use with PHOENICS Department of Materials Engineering, University of Swansea, Swansea, SA2 8PP, UK DERA.

Finite Element Radiative and Conductive Module for use with PHOENICS Department of Materials Engineering, University of Swansea, Swansea, SA2 8PP, UK DERA.
SolidWorks Flow Simulation

SolidWorks Flow Simulation
Dominic Hudson, Simon Lewis, Stephen Turnock

Dominic Hudson, Simon Lewis, Stephen Turnock
Hongjie Zhang Purge gas flow impact on tritium permeation Integrated simulation on tritium permeation in the solid breeder unit FNST, August 18-20, 2009.

Hongjie Zhang Purge gas flow impact on tritium permeation Integrated simulation on tritium permeation in the solid breeder unit FNST, August 18-20, 2009.
ON WIDTH VARIATIONS IN RIVER MEANDERS Luca Solari 1 & Giovanni Seminara 2 1 Department of Civil Engineering, University of Firenze 2 Department of Environmental.

ON WIDTH VARIATIONS IN RIVER MEANDERS Luca Solari 1 & Giovanni Seminara 2 1 Department of Civil Engineering, University of Firenze 2 Department of Environmental.
Thermal Analysis of Two Braze Alloys to Improve the Performance of a Contactor During the Temperature Rise Test G. Contreras 1, E. Gutierrez-Miravete 2.

Thermal Analysis of Two Braze Alloys to Improve the Performance of a Contactor During the Temperature Rise Test G. Contreras 1, E. Gutierrez-Miravete 2.
Www.inl.gov HTTF Analyses Using RELAP5-3D Paul D. Bayless RELAP5 International Users Seminar September 2010.

HTTF Analyses Using RELAP5-3D Paul D. Bayless RELAP5 International Users Seminar September 2010.
One Dimensional Steady State Heat Conduction

One Dimensional Steady State Heat Conduction
Thermo-fluid Analysis of Helium cooling solutions for the HCCB TBM Presented By: Manmeet Narula Alice Ying, Manmeet Narula, Ryan Hunt and M. Abdou ITER.

Thermo-fluid Analysis of Helium cooling solutions for the HCCB TBM Presented By: Manmeet Narula Alice Ying, Manmeet Narula, Ryan Hunt and M. Abdou ITER.
CHE/ME 109 Heat Transfer in Electronics LECTURE 12 – MULTI- DIMENSIONAL NUMERICAL MODELS.

CHE/ME 109 Heat Transfer in Electronics LECTURE 12 – MULTI- DIMENSIONAL NUMERICAL MODELS.
CHE/ME 109 Heat Transfer in Electronics LECTURE 10 – SPECIFIC TRANSIENT CONDUCTION MODELS.

CHE/ME 109 Heat Transfer in Electronics LECTURE 10 – SPECIFIC TRANSIENT CONDUCTION MODELS.
Preliminary Assessment of Porous Gas-Cooled and Thin- Liquid-Protected Divertors S. I. Abdel-Khalik, S. Shin, and M. Yoda ARIES Meeting, UCSD (March 2004)

Preliminary Assessment of Porous Gas-Cooled and Thin- Liquid-Protected Divertors S. I. Abdel-Khalik, S. Shin, and M. Yoda ARIES Meeting, UCSD (March 2004)
MuCool Absorber Review meeting FermiLab, Chicago 21 – 22 February 2003 Fluid Flow and Convective Heat Transfer Modelling by Wing Lau & Stephanie Yang Oxford.

MuCool Absorber Review meeting FermiLab, Chicago 21 – 22 February 2003 Fluid Flow and Convective Heat Transfer Modelling by Wing Lau & Stephanie Yang Oxford.
MICE Collaboration meeting at Columbia University, New York 12 – 14 June 2003 How Liquid Hydrogen behaves thermally in a Convective Absorber by Wing Lau,

MICE Collaboration meeting at Columbia University, New York 12 – 14 June 2003 How Liquid Hydrogen behaves thermally in a Convective Absorber by Wing Lau,
Image courtesy of National Optical Astronomy Observatory, operated by the Association of Universities for Research in Astronomy, under cooperative agreement.

Image courtesy of National Optical Astronomy Observatory, operated by the Association of Universities for Research in Astronomy, under cooperative agreement.
1-D Steady Conduction: Plane Wall

1-D Steady Conduction: Plane Wall
ELECTRO THERMAL SIMULATIONS OF THE SHUNTED 13KA LHC INTERCONNECTIONS Daniel Molnar, Arjan Verweij and Erwin Bielert.

ELECTRO THERMAL SIMULATIONS OF THE SHUNTED 13KA LHC INTERCONNECTIONS Daniel Molnar, Arjan Verweij and Erwin Bielert.
Heat Transfer Rates Conduction: Fourier’s Law

Heat Transfer Rates Conduction: Fourier’s Law
RF-Accelerating Structure: Cooling Circuit Modeling Riku Raatikainen 16.8.2010.

RF-Accelerating Structure: Cooling Circuit Modeling Riku Raatikainen
October 30 th 2007 1 Advances in Heat Transfer in High Field Accelerator Magnet B. Baudouy CEA/Saclay - Dapnia/SACM Annual meeting CARE07 29-31 October.

October 30 th Advances in Heat Transfer in High Field Accelerator Magnet B. Baudouy CEA/Saclay - Dapnia/SACM Annual meeting CARE October.

Similar presentations

Ads by Google