Maximum Temperature in Dry Surface Grinding for High Peclet Number and Arbitrary Heat Flux Profile

Abstract

Regarding heat transfer in dry surface grinding, simple asymptotic expressions of the maximum temperature for large Peclet numbers are derived. For this purpose, we consider the most common heat flux profiles reported in the literature, such as constant, linear, triangular, and parabolic. In the constant case, we provide a refinement of the expression given in the literature. In the linear case, we derive the same expression found in the literature, being the latter fitted by using a linear regression. The expressions for the triangular and parabolic cases are novel.

The thermal analysis of cutting/grinding processes by meshless finite block method

“…It is very obvious that the differences between them are significant. In order to consider the accuracy of the FBM, comparison has been made with numerical solution by Gonzalez-Santander [15] for different flux densities on the cutting surface. Three flex modes are considered as (1) Linear profile.…”

“…The heat transfer problem with a moving heat source along the surface was studied analytically and numerically by Li and Li [14]. A series representation of the solution for creep-feed grinding was calculated numerically by Gonzalez-Santander [15].…”

A useful analytical formula to avoid thermal damage in the adaptive control of dry surface grinding

“…In surface grinding, the maximum dimensionless temperature T max for large Peclet numbers is given by [12]…”

Modelling of Temperature Field and Stress–Strain State of the Workpiece with Plasma Coatings during Surface Grinding

“…Meanwhile, a large number of defects may be the result of high values of hardness and brittleness of the coating materials under the effect of thermomechanical phenomena that occur during the process of grinding. The main feature of an abrasive material removal is high heat flux energy concentrated within a small area of contact between a grinding wheel and a workpiece [1][2][3].…”

“…The number of publications reflecting the role of high heat flux energy in grinding has significantly risen in the last few decades due to the impact of temperatures and residual stresses on the operational efficiency and quality of the processed surface. The modelling and simulation of different grinding conditions have been carried out in the works presented by Rowe et al [2], González-Santander [3], Brinksmeier et al [4] and others. Deivanathan and Vijayaraghavan [5] studied the temperature profile for triangular, parabolic, and rectangular heat sources as well as the heat energy partition ratio in the grinding zone.…”