# Calculation of Cutting Temperature in Machining Operations

Machining is a very important part of modern manufacturing in which the production of complex shapes is dependent on the machining operations. Here we explain the cutting temperature measurement in the analytical method to see how much the tool and the workpiece will get heated in specific machining operations.

Cutting temperature is very important. Because, it can affect the chip formation surface quality and tolerances, tool life, and workpiece in a harsh way. Before starting a machining operation, the cutting temperature must be analyzed and calculated.

Check: Most Used Heat Transfer Books by Engineers!

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## How to Calculate the Cutting Temperature in Machining Operations?

According to Cook’s method, it is very simple to calculate the total cutting temperature in general machining operations. Let’s take a look at the formulation to calculate cutting temperature in machining operations;

This formula is calculated via various experimental cutting temperature tests in different machining operations. In this formula, ‘ΔT’ is the total temperature change in the cutting operation which has the unit of ‘°C’ or ‘°F’, ‘U’ is the specific energy in the operation which has the unit of N-m/mm3 or J/mm3(in-lb/in3 in English units). ‘v’ is the cutting speed in the operation m/s or in/sec. ‘t0’ is the chip thickness before the cutting operation, m or in. ‘ρC’ is the volumetric specific heat of the work material which has the unit of J/mm3-C or in-lb/in3-F in English units. ‘K’ is the thermal diffusivity of the workpiece in cutting operation which has the unit of m2/s or in2/sec in English units.

As you see above, some heat transfer information is required for the used materials in cutting operations.

## Cutting Temperature Calculator for Machining Operations

You can use the simple calculator to calculate the cutting temperatue for machining operations. If you are making optimization for it, you need to calculate the sets of cutting temperatures by slightly changing the parameters of the cutting temperature formulation.

### Cutting Temperature Calculator

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The use of the calculator above is very simple. You just need to enter the required values inside the brackets then click on the ‘Calculate!’ button. If you want to calculate another result, you just need to press the ‘Reset’ button.

## Interpretation of the Cutting Temperature Parameters

If we take a look at the cutting temperature formulation from the engineering viewpoint, we can make some interpretations of these parameters.

In the cutting temperature formula, we can state that with the increasing specific energy U, the total temperature rise increases. When there is a high energy, it will probably be more temperature rises in operations.

Also with the increasing amount of cutting speed, the temperature rise increases. Total temperature rise in cutting operations is directly proportional to the increasing chip thickness. Because much more energy is required to remove more material from the surface of the work material.

With the increasing volumetric specific heat of the work material, the total energy required to heat increases. Because the total heat capacity of the material gets higher with the increasing specific heat. So, the total cutting temperature rise increases with increasing specific heat. Also with the increasing thermal diffusivity of the work material, the total energy dissipated increases. So, much more energy is required to heat the work material which makes inversely proportional to the cutting temperature rise and the thermal diffusivity of the workpiece.

## Conclusion

Calculation of the total temperature rise in machining operation is very simple like this. But it is an analytical calculation and it must be verified with experimentations.

Mechanicalland does not accept any responsibility for calculations made by users in calculators. A good engineer must check calculations again and again.

You can find out much more calculators like this in Mechanicalland! Take a look at the other engineering calculators available in Mechanical Base!

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