Journal of Engineering Mathematics

, Volume 67, Issue 3, pp 165–174

An analysis of the temperature field of the workpiece in dry continuous grinding

  • J. L. González–Santander
  • J. Pérez
  • P. Fernández de Córdoba
  • J. M. Isidro
Open Access
Article

DOI: 10.1007/s10665-009-9335-6

Cite this article as:
González–Santander, J.L., Pérez, J., de Córdoba, P.F. et al. J Eng Math (2010) 67: 165. doi:10.1007/s10665-009-9335-6

Abstract

The recent model for heat transfer during intermittent grinding described in Skuratov, Ratis, Selezneva, Pérez, Fernández de Córdoba and Urchueguía (Appl Math Model 31:1039–1047, 2007) is considered. This model is particularized to the case of continuous dry grinding, where an alternative solution is obtained in the steady state. This alternative solution is analytically equivalent to the well-known formula of Jaeger (Proc R Soc NSW 76:204–224, 1942) for the steady–state temperature field created by an infinite moving source of heat and proves to be very useful for evaluating the maximum point of the temperature.

Keywords

Dirac delta representation Dry grinding process Jaeger’s formula 
Download to read the full article text

Copyright information

© The Author(s) 2009

Authors and Affiliations

  • J. L. González–Santander
    • 1
  • J. Pérez
    • 1
  • P. Fernández de Córdoba
    • 1
  • J. M. Isidro
    • 1
  1. 1.Instituto Universitario de Matemática Pura y Aplicada, IUMPA Departamento de Matemática AplicadaUniversidad Politécnica de ValenciaValenciaSpain

Personalised recommendations