Enter the heat flux, brake on time, density of disc material, specific heat capacity, thermal conductivity, and ambient temperature into the calculator to determine the maximum brake disc temperature.

## Brake Disc Temperature Formula

The following equation is used to calculate the maximum Brake Disc Temperature.

BDTm = (0.527 * q * Sqrt (t)) / Sqrt(p*c*k) + Tamb

- Where BDTm is the maximum Brake Disc Temperature (C)
- q is the heat flux (watts/m^2)
- t is the brake on time (s)
- p is the density of the brake disc (kg/m^3)
- c is the brake disc specific heat capacity (J/kg/K)
- k is the brake disc thermal conductivity (W/(m*K))
- Tamb is the ambient temperature (C)

## What is a Brake Disc Temperature?

Definition:

A Brake Disc Temperature is often considered the maximum temperature that a brake will reach given the inputs above.

## How to calculate Brake Disc Temperature?

Example Problem:

The following example outlines how to calculate a brake disc temperature.

First, determine the heat flux. In this case, the heat flux is 10000 watts/m^2.

Next, determine the brake on time. These brakes are on for 5 seconds.

Next, determine the density of the disc. This disc has a density of 7000 kg/m^3.

Next, determine the specific heat of the disc. This is found to be 500 J/kg/K.

Next, determine the thermal conductivity of the brake. This averages 58 W/(m*k) for cast iron.

Next, determine the ambient temperature. The ambient temperature if 40C.

Finally, calculate the Brake Disc Temperature using the formula above:

BDTm = (0.527 * q * Sqrt (t)) / Sqrt(p*c*k) + Tamb

BDTm = (0.527 * 10000 * Sqrt (5)) / Sqrt(7000*500*58) + 40

BDTm = 40.82 C