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March 18, 2014, 08:08 |
Density in NS equation
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#1 |
Member
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Hello Friends,
I have a question (which I got during my presentation). I am doing LES of water mixing in a T-junction with high ΔT. Hot and cold fluid temperatures are 415 K and 298 K respectively. Pressure is 30 bar. The flow is incompressible. Continuity, Navier-Stokes and Energy equations are attached in the picture. < > represents filtering process for LES in the equations. The question is (i) Where should density symbol (ρ) be placed (inside the differential bracket or outside it), and why? (ii) Why shouldn't the density symbol be placed inside the filtered bracket, ex: <ρ> as it is not constant? FYI: The relative density difference, Δ ρ/ ρ is calculated to be 5%. I am using IAPWS library in my simulations and If I understood correctly, this accounts for change of properties like density, viscosity etc. with temperature, right? Thanks in advance. Regards, Karthick |
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Tags |
les, navier stokes equations |
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