Fluid_Aspect_Course_2_3_1 - nasa/gunns GitHub Wiki

Fluid Aspect Course 2.3.1: PVT Interaction

A good way to think about PVT is with these two main effects, which as engineers you are already used to:

Compressibility

  • in aero, we talk about compressible vs. incompressible air flows. typically assume incompressible below a certain Mach #, and compressible above, etc.
  • in GUNNS, we need to think more generally.
  • as in the real world, in GUNNS, ALL FLUIDS ARE ALWAYS COMPRESSIBLE.
    • there’s no such thing as incompressible, there’s only varying amounts of compressibility
    • liquids, which are usually assumed to be incompressible, are NOT. It is better to describe them as “slightly compressible”, as compared to gasses, which are “very compressible”.
    • You can still assume incompressibility, when appropriate, as a way to approximate & simplify your analysis, but don’t forget that GUNNS is always modeling the actual compressibility effects, even if they’re small.
  • “compressibility” relates pressure and density.
    • high compressibility (gas) means a given change in pressure causes a large change in density. Conversely, a given change in density causes small change in pressure.
    • low compressibility (liquid) means a given change in pressure causes a small change in density. Conversely, a given change in density causes large change in pressure.

Density of Water @ 70° F

Thermal Expansion

  • fluids contract or expand when their temperature changes.
    • Usually heating causes expansion:
      • density decreases at constant pressure, or pressure increases at constant density
    • However some fluids in some conditions expand when they cool
      • for instance, liquid water begins to expand as it cools within a few degrees of freezing

Density of Water @ 1 atm

These Effects Interact

  • The whole PVT ties thermal expansion & compressibility together.
    • for liquids in GUNNS, this is especially important. If you change temperature (adding/removing heat), then in a fixed volume (fixed density), this causes a very large change in pressure. This is the same reason why your car engine block cracks in the winter if your water freezes. The GUNNS equivalent is: if you have a liquid system with a fixed mass and no flexible volume, then density is fixed and then very small changes in temperature cause very large changes in pressure. This can easily “blow up” your network.
    • for this reason, self-contained liquid systems (fixed mass) should have some flexible volume to accommodate density changes. This is just as true in the real-world as it is in GUNNS. This is accomplished with the use of bellows, accumulators, and flexible pipes.
    • For large liquid volumes, NEVER use a fixed-volume GUNNS link like GunnsFluidCapacitor or GunnsFluidTank. Instead, always use one of the accumulator links.

Previous Page / Next Page

⚠️ **GitHub.com Fallback** ⚠️