Efficient Series Expansions of the Temperature Field in Dry Surface Grinding for Usual Heat Flux Profiles

In the framework of Jaeger’s model for heat transfer in dry surface grinding, series expansions for calculating the temperature field, assuming constant, linear, triangular, and parabolic heat flux profiles entering into the workpiece, are derived. The numerical evaluation of these series is conside...

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Published in:Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-13
Main Author: González-Santander, J. L.
Format: Article
Language:English
Subjects:
Grinding
Heat
Heat flux
Heat transfer
Mathematical functions
Mathematical models
Numerical integration
Peclet number
Surface grinding
Temperature distribution
Titanium alloys
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description In the framework of Jaeger’s model for heat transfer in dry surface grinding, series expansions for calculating the temperature field, assuming constant, linear, triangular, and parabolic heat flux profiles entering into the workpiece, are derived. The numerical evaluation of these series is considerably faster than the numerical integration of Jaeger’s formula and as accurate as the latter. Also, considering a constant heat flux profile, a numerical procedure is proposed for the computation of the maximum temperature as a function of the Peclet number and the depth below the surface. This numerical procedure has been used to evaluate the accuracy of Takazawa’s approximation.
doi_str_mv 10.1155/2017/1856523
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source Wiley Online Library Open Access; Publicly Available Content Database
subjects Grinding
Heat
Heat flux
Heat transfer
Mathematical functions
Mathematical models
Numerical integration
Peclet number
Surface grinding
Temperature distribution
Titanium alloys
title Efficient Series Expansions of the Temperature Field in Dry Surface Grinding for Usual Heat Flux Profiles
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