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PC-Brake Accident Reconstruction Forum

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Analytical Determination for Temperature of Disc Rotor with Slots

Hello sir, in your book "Brake design and safety Third edition", there are analytical solutions for the differential equations for the temperature of the rotor disc. There is one for a plain disc and Ventilated disc. Is it possible to find the temperature distribution of a brake disc which has slots(Holes or elongated holes cut in the rotor) in it? The type of discs we commonly see on motor bike. And if so can we use this solution to design the number and shape of slots to be cut in the rotor? I have not found any research paper regarding this either. If you could point me in the direction of one or give me an idea about the calculations I'd be grateful