Brakes – Numerical Analysis Preview
I threw together a Matlab code to simulate the brakes I wrote about. It is currently modeled too simply to bother releasing articles.
Here is a list of assumptions I will work on eliminating.
- Steady State
- Flat Plate 1m Deep
- Constant h (Convection Coefficient)
- Constant k (Thermal Conductivity)
- Constant epsilon (Emissivity)
- No heat into brake pads
- Pads never block heat escape from rotors
- No surface slots
- No venting holes
- Constant properties
- Corners treated simply (no effect on convection/radiation)
- 100% Kinetic Energy loss becomes Heat applied to Rotor
The idea is I will release code, and theory behind it. When I add new articles generally it will be with corrections or new results after eliminated assumptions. For example, the Thermal Conductivity of Carbon changes with temperature, but it is treated as constant at the moment. If I tried to make the numerical solver in one try it would be a mess beyond my patience. If you would like to see what I have now, as far as code, equations, pictures I drew to help visualize what I’m doing, send me a comment. FYI I realized why my temperatures are so high. I accidently (mathematically) assumed that one rotor was absorbing the energy of the car. I’m too lazy to update the picture above for this preview, but the change will certainly reduce the maximum temperature. I quick ran the simulation again and the max temperature went down to 1165Kelvin from 1985Kelvin. The picture above is out of date. Comment if you want to know more before the next release.