sd cooling coffee

  • Example: Cooling a hot cup of coffee.
  • Stock: Coffee temperature $T$.
  • Flow: Heat loss to the environment $kT$.
  • Behavior: Temperature decreases towards room temperature $T_{\rm room}$.
  • Equation:
    • $$\tag{SD3} \frac{dT}{dt} = -k(T - T_{\rm room}), $$        where $k$ is the cooling rate.
  • Diagram:
    • graph LR; Coffee -->|Loses Heat| Environment Environment -->|Gains Heat| Coffee
    GPT-4o, "System Dynamics Feedback Loops", ChatGPT, 26 Feb 2025, (-), url https://chatgpt.com/share/67beed0b-370c-800a-8573-555e0c3b2424 [20250226].