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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 5387612, 14 pages
Research Article

Maximum Temperature and Relaxation Time in Wet Surface Grinding for a General Heat Flux Profile

Universidad Católica de Valencia “San Vicente mártir”, C/ Guillem de Castro 94, 46001 Valencia, Spain

Received 26 November 2015; Accepted 24 February 2016

Academic Editor: John D. Clayton

Copyright © 2016 J. L. González-Santander. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We solve the boundary-value problem of the heat transfer modeling in wet surface grinding, considering a constant heat transfer coefficient over the workpiece surface and a general heat flux profile within the friction zone between wheel and workpiece. We particularize this general solution to the most common heat flux profiles reported in the literature, that is, constant, linear, parabolic, and triangular. For these cases, we propose a fast method for the numerical computation of maximum temperature, in order to avoid the thermal damage of the workpiece. Also, we provide a very efficient method for the numerical evaluation of the transient regime duration (relaxation time).