SOME ASPECTS OF SURFACE TEMPERATURES OF SOLIDS WITH ROUGH SURFACES IN SLIDING CONTACT.
Rept. for 1 Nov 63-31May 64,
RENSSELAER POLYTECHNIC INST TROY N Y
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Steady-state solution of the heat equation is obtained for a truncated right circular cone with rotationally symmetrical heat input over the truncated surface and the remaining surfaces insulated. Average surface temperatures are computed for truncated cones of various opening angles. Assuming, in the first approximation, that truncated cones simulate surface asperities, then the solution may be used to give a measure of the correction factor for temperatures calculated using smooth surfaces, to give temperatures for rough surfaces. Also transient solutions of the heat equation are presented for stationary and moving bodies, respectively, with heat input considered as a simple discrete stochastic process in time and space. Numerical results show the maximum surface temperature flashes may be higher than the average surface temperature by a factor of 6. Author