This paper describes a model for numerical prediction of surface temperature rising due to frictional and electrical Joule heating between rough surfaces with discrete and continuous convolution fast Fourier transform (DC-FFT and CC-FFT). Contact resistance in non-conformal rough contact is defined and also surface temperature is simulated with frictional and Joule heating components of heat fluxes in rough surface contact. The computational prediction of temperature rising of sliding rough surface contact with electrical current may facilitate the understanding of imperfect electrical contact (ImPEC) and extreme condition lubrication.
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