Surface derivative method for inverse thermal analysis in dry grinding.

*(English)*Zbl 1420.35407Summary: Starting from Jaeger’s classical formula for the field of temperature rise during dry surface grinding, an analytical expression for the profile of the heat flux going to the workpiece is derived. This analytical approach, termed the surface derivative method, can be applied very easily to inverse thermal analysis in surface grinding, and is compared herein with other inverse analysis methods reported in literature, viz. the temperature matching method and the Gauss-Newton method. In contrast to these methods, the surface derivative method is much less computationally expensive and does not collapse for high Péclet number.

##### MSC:

35Q79 | PDEs in connection with classical thermodynamics and heat transfer |

46N20 | Applications of functional analysis to differential and integral equations |

80A23 | Inverse problems in thermodynamics and heat transfer |

##### Keywords:

Dirac delta representation; inverse thermal analysis; noise filtering; surface dry grinding##### Software:

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\textit{J. L. González-Santander}, J. Eng. Math. 112, 137--155 (2018; Zbl 1420.35407)

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##### References:

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