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.
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Acknowledgements
It is a pleasure to thank Prof. J. Motos for technical discussions. We are also thankful to the referees for their very constructive comments. The authors wish to thank the financial support received from Universidad Politecnica de Valencia, from the Generalitat Valenciana under grant GVPRE/2008/292, and from Ministerio de Ciencia e Innovacion through grant ENE2008-00599. This work has been partially supported by the Structural Funds of the European Regional Development Fund (ERDF).
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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González–Santander, J.L., Pérez, J., de Córdoba, P.F. et al. An analysis of the temperature field of the workpiece in dry continuous grinding. J Eng Math 67, 165–174 (2010). https://doi.org/10.1007/s10665-009-9335-6
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DOI: https://doi.org/10.1007/s10665-009-9335-6