fluids2

1. cargo install wasm-pack
2. cd www && npm install

Metrics to look at

Objectives are:

1. assessing if the fluid / gas is in equilibrium
2. assesing properties of the system

Equilibrium

Disable external forces (gravity), and maybe reduce to a 2d slice for simplicity. Slide the area into a 10x10 grid (e.g.) and

• look at the distribution of the particle count in each bin. Expect this to be stationary,
• look at the distribution of velocities within each bin, should also be similar
  • another way of looking at this is plotting a chart of velocity as a fucntion of (e.g.) x. expect this to be stationary

Energy conservation

• energy of the system $E_m = E_k + E_p$
  • $E_k = \frac{1}{2} m v^2$
  • $E_p = m g h$

Fluid properties

• size of particle relative to size of container
• volume of all particles relative to volume of container
• time between consecutive collisions for any given particle
• Knudsen number $Kn = \frac{\lambda}{L}$ where L is a cacarteristic of the size of the space, lambda the mean free path

$$Kn = \frac{k_b T}{\sqrt{2 \pi} d^2 p L}$$

where

• $k_{\text{B}}$ is the Boltzmann constant (1.380649 × 10−23 J/K in SI units) [M1 L2 T−2 Θ−1]
• $T$ is the thermodynamic temperature
• $d$ is the particle hard-shell diameter
• $p$ is the static pressure
• $R_{s}$ is the specific gas constant (287.05 J/(kg K) for air),
• $\rho$ is the density