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The structural and Fluid flow analyses of the Hydrogen Absorber Window for the Muon Cooling collaboration project PowerPoint Presentation
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The structural and Fluid flow analyses of the Hydrogen Absorber Window for the Muon Cooling collaboration project - PowerPoint PPT Presentation


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The structural and Fluid flow analyses of the Hydrogen Absorber Window for the Muon Cooling collaboration project. Presented at the MICE meeting at IIT 5 – 8 Feb 2002. By Wing Lau, Oxford University, UK. The FEA work reported herewith has two purposes:-

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slide1

The structural and Fluid flow analyses of the Hydrogen Absorber Window for the Muon Cooling collaboration project

Presented at the MICE meeting

at IIT 5 –8 Feb 2002

By Wing Lau, Oxford University, UK

slide2

The FEA work reported herewith has two purposes:-

    • to look at the structural response of the Window undergoing a pressure increment to the burst pressure level;
    • and to understand the flow pattern of the fluid inside the Window compartment
  • The pressure test–2 Window geometries have been analysed:
    • Window 1 -- with a thickness of 127m at the centre of the crown
    • Window 2 -- with a thickness of 330 m at the centre of the crown

Aim of the FEA analyses is to predict the deflection of the Window under various pressure load up to the first material UTS value at which the burst of the Window is anticipated.

It is hope that the results, which were computed from the non-linear FEA calculations, could be used to compare with the photogrammetry results

slide3

The FE models include a 2-D axisymmetrical model on Windows 1 & 2, and a 3-D solid model for Window 2 only.

    • The 2-D axisymmetrical model on Window 1 & Window 2 (same profile but slightly different crown thickness):
    • The 3-D Solid model for Window 2
slide4

Rate of the applied pressure in FEA

Stress-Strain relationship for the 6061-T6 material (actual stress-strain relationship may vary slightly)

slide5

The FEA results:-

Window 1 – 2D axisymmetrical model:

The deflection of the Window under various pressure

First yield at 0.14 MPa

slide6

Window 1 – 2-D axisymmetrical model ( continue ):

Deflection curve of particular points at the crown area

Pressure at which first yield was detected

slide7

Window 1 – 2-D axisymmetric model

  • Establishing the pressure at first yield.
    • The centre of the crown yielded at as early as 21 psi. It soon spreaded to cover a patch of 2-3mm radius at about 34 psi.
    • UTS was detected at (centre of crown ) about 47-48 psi

First yield at crown centre

General yield

slide8

Window 1 – 2-D axisymmetrical model

The animated display of the Window deformation at various internal pressure

slide9

Comparison of results on Window 1at 0.18 Mpa test pressure:

    • Comparing the Oxford FEA results with the NIU photogrammetry and FEA results

FEA results by Oxford

Photogrammetry results & FEA results by NIU

slide10

Comparison of results on Window 1at 0.24 Mpa test pressure:

    • Comparing the Oxford FEA results with the NIU photogrammetry and FEA results
slide11

Comparison of results on Window 1

Graph summarizing the shape of the Window at the two preceding pressures, and the final pressure before it bursts.

slide12

Window 2 - 2D axisymmetric model

Window 2 has the same basic profile of Window 1 except it is nearly 3 times thicker at the centre of the crown

slide13

Window 2 - 2D axisymmetric model

At 100 psi test pressure

slide14

Window 2 - 2D axisymmetric model

At 109 psi test pressure (first UTS value)

slide15

Window 2 - 2D axisymmetric model

Modified format ( linear curve added ) of the photogrammetry results

First yield at approx. 79psi

slide17

Window 2 – 3-D solid FEA model

The animated display of the Window deformation at various internal pressure. They confirm that there is no spurious harmonic variations around the Window.

slide18

Comparison of results on Window 3

Graph summarizing the shape of the Window at the various pressures before it bursts.

slide19

Window 3 – 2-D axisymmetrical model

The animated display of the Window deformation at various internal pressure

slide20

Fluid Flow analysis–to establish the relationship between the flow pattern, the inlet velocity, the fluid viscosity and the nozzle arrangements

  • 2 models were set up:
    • A back to back Window arrangement with inlet and outlet nozzles perpendicular to the flange seating;
    • A back to back Window arrangement with inlet and outlet nozzles at an oblique angle to flange seating

Fluid boundary

Fluid

Plane of symmetry

  • inlet and outlet nozzles at an oblique angle to flange seating
  • inlet and outlet nozzles perpendicular to the flange seating
slide21

The Fluid model

  • 2 different fluid medium were used for the run:
    • One using air at room temperature,
    • and one using water ( to see the viscosity effect)
  • For the air flow model, 2 inlet velocities were run on each model:-
    • At 5 m/s (relatively lamina flow);
    • At 100 m/s ( turbulent flow )

Line of symmetry

Model 1 – parallel nozzle arrangement

Model 2 – oblique nozzle arrangement

slide22

Results of the fluid flow analysis:-

Parallel nozzle arrangement with air flow at room temperature

Air inlet

Inlet velocity = 5m/s

Velocity profile in Y direction

slide23

Results of the fluid flow analysis:-

Parallel nozzle arrangement with air flow at room temperature

Air inlet

Inlet velocity = 100 m/s

Velocity profile in Y-direction

slide24

Results of the fluid flow analysis:-

Parallel nozzle arrangement with air flow at room temperature

Air inlet

Inlet velocity = 5 m/s

Vorticity profile

slide25

Results of the fluid flow analysis:-

Oblique nozzle arrangement with air flow at room temperature

Air inlet

Inlet velocity = 5 m/s

Velocity profile in Y-direction

slide26

Results of the fluid flow analysis:-

Oblique nozzle arrangement with air flow at room temperature

Air inlet

Inlet velocity = 100 m/s

Velocity profile in Y-direction

slide27

Results of the fluid flow analysis:-

Oblique nozzle arrangement with water flow at room temperature

Water inlet

Water inlet velocity = 5 m/s

Velocity profile in Y-direction

slide28

Results of the fluid flow analysis:-

Oblique nozzle arrangement with water flow at room temperature

Water inlet

Water inlet velocity = 5 m/s

Velocity profile in Z-direction

slide29

Results of the fluid flow analysis:-

Oblique nozzle arrangement with LH2 flow at room temperature

LH2 inlet velocity = 5 m/s

Velocity profile in Z-direction

slide30

3-D Fluid Flow model

A simple 3-D cylindrical model with a parallel inlet and out nozzle was set up to investigate the 3-D effect of the flow. The flow medium is air at room temperature with an inlet velocity of 100m/s.

The 3-D model is:-

Air out

Air in

slide31

Preliminary results of the 3-D flow:-

A cut out view showing half of the cylindrical section as the outside boundary will have zero velocity imposed throughout

Air in