👉 Cooling math, often used in thermal engineering and heat transfer, describes how temperature changes over time as a system reaches equilibrium with its surroundings. It's based on Newton's Law of Cooling, which states that the rate of heat loss from an object is proportional to the temperature difference between the object and its environment. Mathematically, this is expressed as dT/dt = -k(T - T_env), where T is the temperature of the object, T_env is the ambient temperature, k is a constant related to the heat transfer properties of the object and its surroundings, and t is time. Solving this differential equation gives us the temperature as a function of time, T(t) = T_env + (T_initial - T_env)e^(-kt), where T_initial is the initial temperature of the object. This equation helps predict how quickly an object cools down and when it reaches a stable temperature, crucial for designing efficient cooling systems in electronics, buildings, and industrial processes.
