University:
Boston University
Course:
CAS PY 252 | Principles of Physics 2
Academic year:

2023
Views:

277

Pages:

20
Author:

5CelestialChronicle

Shock Tube with rhoCentralFoam, sonicFoam, Lax-Friedrichs and MacCormacks Hypothesis • Compressible flow • Viscous flow • Bi-dimensional flow • Laminar 𝜕 𝜕𝑧 =0 Temperature P = ρRT R = 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 Mesh Geometry size is 10*5*2 [-5 -2.5 -1] to [5 2.5 1] rhoCentralFoam 𝑝 0 ቐ𝑇 𝑈 𝑝𝑜𝑙𝑦𝑀𝑒𝑠ℎሼ𝑏𝑙𝑜𝑐𝑘𝑀𝑒𝑠ℎ𝐷𝑖𝑐𝑡 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 ቐ𝑡ℎ𝑒𝑟𝑚𝑜𝑝ℎ𝑦𝑠𝑖𝑐𝑎𝑙𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠 𝑟ℎ𝑜𝐶𝑒𝑛𝑡𝑟𝑎𝑙𝐹𝑜𝑎𝑚 𝑡𝑢𝑟𝑏𝑢𝑙𝑒𝑛𝑐𝑒𝑃𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠 𝑐𝑜𝑛𝑡𝑟𝑜𝑙𝐷𝑖𝑐𝑡 𝑓𝑣𝑆𝑐ℎ𝑒𝑚𝑒𝑠 𝑠𝑦𝑠𝑡𝑒𝑚 𝑓𝑣𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛 𝑠𝑎𝑚𝑝𝑙𝑒𝐷𝑖𝑐𝑡 𝑠𝑒𝑡𝐹𝑖𝑒𝑙𝑑𝑠𝐷𝑖𝑐𝑡 rhoCentralFoam vs Lax Friedrichs rhoCentralFoam vs Lax Friedrichs rhoCentralFoam vs Lax Friedrichs rhoCentralFoam vs MacCormack rhoCentralFoam vs MacCormack rhoCentralFoam vs MacCormack rhoCentralFoam rhoCentralFoam rhoCentralFoam rhoCentralFoam rhoCentralFoam rhoCentralFoam vs sonicFoam rhoCentralFoam vs sonicFoam rhoCentralFoam vs sonicFoam 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