Abstract

The Samara-Valencia model for heat transfer in grinding has been recently used for calculating nontabulated integrals. Based on these results, new infinite integrals can be calculated, involving the Macdonald function and the modified Struve function.

Highlights

  • Mathematical developments facilitate the computation of mathematical modeling expressions in many different fields

  • Mathematical modeling yields in many cases a good field to develop new mathematical identities and formulas

  • This is the case of the mathematical modeling of heat transfer in surface grinding

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Summary

Introduction

Mathematical developments facilitate the computation of mathematical modeling expressions in many different fields. Mathematical modeling yields in many cases a good field to develop new mathematical identities and formulas. This is the case of the mathematical modeling of heat transfer in surface grinding. In [11], the following generalization of (4) has been calculated as a finite sum of terms containing beta and hypergeometric functions, Journal of Applied Mathematics by using the convolution theorem of the Fourier transform.

The Integrals
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