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Title of Journal: J Eng Math

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Abbravation: Journal of Engineering Mathematics

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Springer Netherlands

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DOI

10.1002/ange.19300434703

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1573-2703

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Series expansion and asymptotic formulas for heat

Authors: J L GonzálezSantander
Publish Date: 2016/07/23
Volume: 103, Issue: 1, Pages: 111-126
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Abstract

In heat transfer in orthogonal machining or creepfeed grinding we must consider the temperature distribution at the shear plane for an inclined band heat source From the classical solution given by Hahn in integral form a series representation of this solution has been calculated whose numerical evaluation is faster than the numerical integration of the integral form From this series representation simple asymptotic formulas for maximum and average temperatures have been derived the latter being useful in heat transfer modeling of creepfeed grinding and orthogonal cutting These asymptotic formulas are quite accurate for typical machining regimes Further a closedform formula for the average temperature in the case of zero shear angle has been obtained

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