# Cooling Rate of Hydraulic Oil Cooler

The cooling rate of a hydraulic chiller refers to the temperature at which the object drops in a unit of time, and this cooling rate gradually slows down as the heat source gets closer to the cold source temperature, and stops completely when it reaches a certain value.

In the heat exchange process of the hydraulic cooler, we use the fan suction to perform forced cooling, so the cold source is the ambient temperature. In other words, it is absolutely impossible for the hydraulic cooler to cool the oil temperature below the ambient temperature. Calculation method of cooling rate:

According to Newton's law of cooling, the cooling rate (dT/dt) is proportional to the difference between the heat source temperature T and the ambient temperature C, that is, dT/dt=-k(T-C). Where t is time and k is a constant.

Integrate dT/dt=-k(T-C)

Ln(T-C)=-kt+B (B is the integral constant)

(T-C)=e^(-kt+B) (1)

Let t=0, which is the initial temperature of the object, (1) become

(T0-C)=e^B

Then substitute (1)

T=C+(T0-C)^(-kt)

The K value can be obtained from T = C + (T0 - C) ^ (-kt).