A solution is given to the problem of heat conduction in a composite solid consisting of three infinite slabs between parallel plane boundaries, when the two interfaces are subjected to a thermal flux which decreases linearly with time, whilst at the two outer plane surfaces there is no flow of heat. This solution is applied to the problem of determining the transient temperatures reached at the friction surfaces of a disk brake when a constant deceleration is produced during braking. Typical values of the temperature of the surface of a disk obtained by use of a radiation pyrometer with a rapid response are given, and comparisons made with the mean temperatures determined theoretically.
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T P Newcomb (1959) studied this question.