sd cooling coffee

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