Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 927876, 28 pages
http://dx.doi.org/10.1155/2011/927876
Research Article

Exact Solution for the Time-Dependent Temperature Field in Dry Grinding: Application to Segmental Wheels

J. L. González-Santander,1 J. M. Valdés Placeres,2 and J. M. Isidro3

1Cátedra Energesis de Tecnología Interdisciplinar, Universidad Católica de Valencia, 46002 Valencia, Spain
2Departamento de Matemáticas, Universidad de Pinar del Río, 20200 Pinar del Río, Cuba
3Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain

Received 21 February 2011; Accepted 1 April 2011

Academic Editor: Ezzat G. Bakhoum

Copyright © 2011 J. L. González-Santander et al. 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.

Abstract

We present a closed analytical solution for the time evolution of the temperature field in dry grinding for any time-dependent friction profile between the grinding wheel and the workpiece. We base our solution in the framework of the Samara-Valencia model Skuratov et al., 2007, solving the integral equation posed for the case of dry grinding. We apply our solution to segmental wheels that produce an intermittent friction over the workpiece surface. For the same grinding parameters, we plot the temperature fields of up- and downgrinding, showing that they are quite different from each other.