thermomechanical fluid-structure interaction in supersonic
TRANSCRIPT
![Page 1: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/1.jpg)
Thermomechanical Fluid-Structure Interaction in
Supersonic Flows: Experiments and Simulation
Katharina Martin, Stefanie Reese, IFAM, RWTH Aachen University
Dennis Daub, Burkard Esser, Ali Gülhan, AS-HYP, DLR Köln
![Page 2: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/2.jpg)
Motivation
2
Aerothermal
Heating
Structural
Deformation
Why study thermomechanical FSI?
![Page 3: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/3.jpg)
Motivation
Ariane 5 flight 517
Buckling of nozzle cooling
channels
3Stahlkocher - CC BY-SA 3.0
![Page 4: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/4.jpg)
Motivation
4
Metallic thermal protection for reusable launchers
SpaceX - CC BY-NC 2.0
![Page 5: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/5.jpg)
5
Motivation
NASA
Buckling of supersonic aircraft surface panels
![Page 6: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/6.jpg)
Motivation
Dennis Daub
![Page 7: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/7.jpg)
Joint experimental and numerical study of fluid-structure
coupled buckling problems using a generic configuration
Overview
![Page 8: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/8.jpg)
Supersonic Fluid-Structure
Interaction in SFB TRR 40
• Turbulent SWBLI loads (D4 + D6 FP. 1/2)
• Flutter + Turbulent SWBLI (D6 FP. 3)
• Thermal buckling including plastic behavior
(D10 + D6 FP. 3)
8
![Page 9: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/9.jpg)
Modelling / Simulation
9
Effect of buckling on the flow
panel mount
shockexpansion region
Ma = 7.7
nose shock
Main effects under
investigation
• Buckling with high amplitudes
• Plastic deformation
• Interaction of deformation
with flow field → strong
localized heating
α = 20°
![Page 10: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/10.jpg)
Coupling tool IFLS, TU Braunschweig
Quasi-stationary process: fluid and structure
Equilibrium iteration method: Dirichlet-Neumann iteration
Transfer between grids: Lagrange multiplier
[Niesner, 2009; Haupt, 2009]
fluid
computation
fluid grid
transfer of
state quantities
solid grid
transfer of
state quantities
mechanical solid
computation
thermal solid
computation
Fluid-structure interaction (FSI)
10
![Page 11: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/11.jpg)
• DLR Tau solver; laminar flow; ideal gas γ = 1.451
• Hybrid mesh, structured layers on the wall
• Mesh deforms as panel surface deforms
Fluid computation
Ma∞ = 7.7
p∞ = 50.3 Pa
T∞ = 477 K
α = 20°
freestream
viscous wallT(t0) = 300K
11
![Page 12: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/12.jpg)
Material:
• panel and frame: Incoloy 800 HT
• isolation: Schupp Ultra Board 1850/500
• support plate: copper
Material model:
• mechanical: viscoplastic with nonlinear isotropic hardening + thermal expansion
• thermal: heat flux (Fourier) and radiation
Structural Computation
200 mm
12
100 mm
197 mmr = 45 mm
33 mm
17.5 mm
10 mm
35 mm
51.5 mm
55 mm 33 mm
nose not
modelled
panel
[Martin et al., 2018]
![Page 13: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/13.jpg)
Mechanical boundary condition:
• bottom: circular fixation
• top: pressure p from fluid simulation
• symmetrical BC at y = 0
Boundary Conditions (BC)
T = 300K
13
q,p
nose not
modelled
Thermal boundary condition:
• bottom: temperature T = 300K
• top: heat flux q from fluid simulation
• cavity radiation between panel and
isolation / radiation on top surface
[Martin et al., 2018]
![Page 14: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/14.jpg)
Material model for panel
14
• Viscoplastic material model with
– nonlinear isotropic hardening
– thermal expansion
– temperature dependent material parameters
• implemented in an Abaqus UMAT
• modified for a plane stress state in order to also use it
for shell elements
• thermo-dynamically consistent
• large deformations[Martin et al., 2019]
![Page 15: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/15.jpg)
• Temperature range: 20°C – 1000°C
• loading rate: 0.5mm/min; 1mm/min
Material tests for Incoloy 800 HT
15
[Martin et al., 2018]
![Page 16: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/16.jpg)
Arc-heated Wind Tunnel L3K
Ma∞ = 7.7
p∞ = 50.3 Pa
T∞ = 477 K
v∞ = 3756 m/s 16
[Daub, 2020]
![Page 17: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/17.jpg)
Wind Tunnel Run
17
![Page 18: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/18.jpg)
Instrumentation
Digital Image Correlation (DIC)
18
Infrared Thermography (IR)
![Page 19: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/19.jpg)
Digital Image Correlation (DIC)
![Page 20: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/20.jpg)
Validation (DIC)
20
![Page 21: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/21.jpg)
Deformation
![Page 22: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/22.jpg)
Validation (IR)
22
![Page 23: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/23.jpg)
Surface Temperature
![Page 24: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/24.jpg)
Reference Sensor Positions
FLOW
Panel (200x200)
front (50/0)
left (100/50)
center (100/0)
rear (150/0)
x
y
left
center rearfront
![Page 25: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/25.jpg)
Comparison of Displacement Exp/Sim
25
Comparison at the center of the panel Comparison at four position of the panel
![Page 26: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/26.jpg)
Comparison of Temperature Exp/Sim
26
Comparison at the center of the panel Comparison at four positions of the panel
![Page 27: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/27.jpg)
Comparison Exp/Sim
27Comparison of displacement:
sim (left); exp (right)
Comparison of temperature:
sim (left); exp (right)
![Page 28: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/28.jpg)
Discussion
28
More than 200 K
difference between rigid
and buckled case
![Page 29: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/29.jpg)
Discussion
29
Influence of wall temperature on buckling shape
![Page 30: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/30.jpg)
Conclusion
Interdisciplinary study of FSI in supersonic flow
• Fluid-Structure coupled simulations
• Modelling of plastic deformation
• Validation experiments with time-resolved full-field
instrumentation
Obtained good agreement between simulation and experiments
• Strong localized (FSI driven) heating
• Significant plastic deformation
30
![Page 31: Thermomechanical Fluid-Structure Interaction in Supersonic](https://reader030.vdocuments.us/reader030/viewer/2022012719/61b15ad7b7451f21695a9753/html5/thumbnails/31.jpg)
Thank you
31
Financial support by the Deutsche Forschungsgemeinschaft (DFG) for the
SFB TRR 40 is gratefully acknowledged.