Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P =...
Transcript of Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P =...
![Page 1: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/1.jpg)
Shock Tube with rhoCentralFoam,sonicFoam, Lax-Friedrichs and
MacCormacks
![Page 2: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/2.jpg)
Hypothesis• Compressible flow
• Viscous flow
• Bi-dimensional flow 𝜕
𝜕𝑧= 0
• Laminar
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Temperature
P = ρRTR = 286.9 J/Kg.K.
P1 = 100,000 N/m2
ρ1 = 1 kg/m3
P2 = 10,000 N/m2
ρ2 = 0.125 kg/m3
Hence,
T1 = 348.432 K T2 = 278.746 K
Respectively,
μ1= 2.099e-05 μ1 = 1.764e-05
μavg = 1.932e-05
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Mesh
Geometry size is 10*5*2
[-5 -2.5 -1] to [5 2.5 1]
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rhoCentralFoam
𝑟ℎ𝑜𝐶𝑒𝑛𝑡𝑟𝑎𝑙𝐹𝑜𝑎𝑚
0 ቐ𝑝𝑇𝑈
𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 ቐ𝑝𝑜𝑙𝑦𝑀𝑒𝑠ℎሼ𝑏𝑙𝑜𝑐𝑘𝑀𝑒𝑠ℎ𝐷𝑖𝑐𝑡𝑡ℎ𝑒𝑟𝑚𝑜𝑝ℎ𝑦𝑠𝑖𝑐𝑎𝑙𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠𝑡𝑢𝑟𝑏𝑢𝑙𝑒𝑛𝑐𝑒𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠
𝑠𝑦𝑠𝑡𝑒𝑚
𝑐𝑜𝑛𝑡𝑟𝑜𝑙𝐷𝑖𝑐𝑡𝑓𝑣𝑆𝑐ℎ𝑒𝑚𝑒𝑠𝑓𝑣𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠𝑎𝑚𝑝𝑙𝑒𝐷𝑖𝑐𝑡𝑠𝑒𝑡𝐹𝑖𝑒𝑙𝑑𝑠𝐷𝑖𝑐𝑡
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rhoCentralFoam vs Lax Friedrichs
![Page 7: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/7.jpg)
rhoCentralFoam vs Lax Friedrichs
![Page 8: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/8.jpg)
rhoCentralFoam vs Lax Friedrichs
![Page 9: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/9.jpg)
rhoCentralFoam vs MacCormack
![Page 10: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/10.jpg)
rhoCentralFoam vs MacCormack
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rhoCentralFoam vs MacCormack
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rhoCentralFoam
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rhoCentralFoam
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rhoCentralFoam
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rhoCentralFoam
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rhoCentralFoam
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rhoCentralFoam vs sonicFoam
![Page 18: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/18.jpg)
rhoCentralFoam vs sonicFoam
![Page 19: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/19.jpg)
rhoCentralFoam vs sonicFoam
![Page 20: Shock Tube with rhoCentralFoam sonicFoam, Lax-Friedrichs and … · 2016-12-22 · Temperature P = ρRT R = 286.9 J/Kg.K. P 1 = 100,000 N/m2 ρ 1 = 1 kg/m 3 P 2 = 10,000 N/m2 ρ 2](https://reader034.fdocuments.net/reader034/viewer/2022050601/5fa88b24869de865531f4c51/html5/thumbnails/20.jpg)
Conclusions• rhoCentralFoam works well and in coherence with MacCormack solution
• Minor changes in physical properties by introducing viscosity
• rhoCentralFoam is more accurate than sonicFoam
• rhoCentralFoam is faster solver than sonicFoam
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