Mathematical model of heat distribution in an abrasive wheel

The cost of abrasive cutting is mainly determined by the wear resistance of the abrasive wheel, which consists of abrasive grain, filler, phenolic binder and glass mesh. Due to the fact that during the cutting process, as a result of the summation of heat pulses from the cutting grains located on the cutting edge of the wheel, a significant amount of heat is released, high temperature values are reached in the cutting zone. Meanwhile, it is well known that the phenolic binder has low heat resistance, it breaks down at a temperature of 520-570 °K, therefore the nature of the thermal processes occurring during abrasive cutting determines the temperature in the circle and, accordingly, the speed of its wear. Ideally, of course, the speed of thermal destruction of the bond should correlate with the speed of mechanical destruction of abrasive grains, so that cutting is carried out only with sharp, unfired grains, while only blunt grains should be removed from the cutting edge. Since the rate of abrasion of abrasive grains is different for different processed materials, the characteristics of binders must also depend on the type of processed material, that is, it is necessary to create abrasive wheels for cutting different materials. In practice, abrasive wheels are produced without special consideration of the features of the cut material, which is largely explained by the lack of clarity of the nature of thermal processes in abrasive reinforced wheels and technological difficulties associated with changing the thermophysical properties of the wheels.