simulate and animate the pressure when a soda bottle is opened in python

main.py
import numpy as np
import matplotlib.pyplot as plt

# Set up parameters for simulation
V0 = 0.355    # Initial volume of soda in liters
p0 = 350000   # Initial pressure in Pascals
T = 293      # Temperature in Kelvin
n_steps = 500 # Number of simulation steps
dt = 0.001    # Time step size in seconds
R = 8.314    # Ideal gas constant in J/(mol*K)
gamma = 1.4  # Heat ratio for air

# Calculate the maximum volume and pressure from ideal gas law
n = p0 * V0 / (R * T)
V_max = n * R * T / p0
p_max = p0 * (V0 / V_max) ** gamma

# Define the time axis
t = np.linspace(0, n_steps * dt, num=n_steps+1)

# Initialize the pressure and volume arrays
p = np.zeros_like(t)
p[0] = p0
V = np.zeros_like(t)
V[0] = V0

# Simulate the opening of the soda bottle
for i in range(1, n_steps+1):
    # Check if the bottle has been opened yet
    if t[i] > 0.03:
        # Model the release of pressurized gas as an isentropic expansion
        V[i] = V_max * (p[i-1] / p_max) ** (1 / gamma)
        p[i] = p0 * (V0 / V[i]) ** gamma
    else:
        # Bottle is still closed, pressure remains constant
        V[i] = V0
        p[i] = p0

# Animate the simulation
fig, ax = plt.subplots()
line, = ax.plot([], [], 'r', lw=2)

def animate(i):
    line.set_data(V[i], p[i])
    ax.set_xlim([0, 1.5*V_max])
    ax.set_ylim([0, 1.5*p_max])
    ax.set_xlabel('Volume (L)')
    ax.set_ylabel('Pressure (Pa)')
    ax.set_title('Soda Bottle Opening Simulation')
    return line,

ani = FuncAnimation(fig, animate, frames=n_steps+1, interval=10, blit=True)
plt.show()
1541 chars
54 lines