Total Rate of Heat Generation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation By Chip+Rate of Heat Conduction into The Workpiece+Rate of Heat Conduction into The Tool
Pm = Φc+Φw+Φt
This formula uses 4 Variables
Variables Used
Total Rate of Heat Generation in Metal Cutting - (Measured in Watt) - The Total Rate of Heat Generation in Metal Cutting is defined as the total amount of heat generated due to friction and disturbances & losses while metal cutting.
Rate of Heat Transportation By Chip - (Measured in Watt) - Rate of Heat Transportation By Chip is defined as the amount of heat transported by the chip.
Rate of Heat Conduction into The Workpiece - (Measured in Watt) - Rate of Heat Conduction into The Workpiece is defined as the rate of heat transferred into the workpiece with conduction.
Rate of Heat Conduction into The Tool - (Measured in Watt) - Rate of Heat Conduction into The Tool is defined as the amount of heat transferred into the tool with conduction while metal cutting.
STEP 1: Convert Input(s) to Base Unit
Rate of Heat Transportation By Chip: 54 Watt --> 54 Watt No Conversion Required
Rate of Heat Conduction into The Workpiece: 38 Watt --> 38 Watt No Conversion Required
Rate of Heat Conduction into The Tool: 16 Watt --> 16 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pm = Φcwt --> 54+38+16
Evaluating ... ...
Pm = 108
STEP 3: Convert Result to Output's Unit
108 Watt --> No Conversion Required
FINAL ANSWER
108 Watt <-- Total Rate of Heat Generation in Metal Cutting
(Calculation completed in 00.004 seconds)

Credits

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Heat Conduction Rate Calculators

Rate of Heat Conduction into Workpiece given Total Rate of Heat Generation
​ LaTeX ​ Go Rate of Heat Conduction into The Workpiece = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation By Chip-Rate of Heat Conduction into The Tool
Rate of Heat Transportation by Chip given Total Rate of Heat Generation
​ LaTeX ​ Go Rate of Heat Transportation By Chip = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Conduction into The Workpiece-Rate of Heat Conduction into The Tool
Rate of Heat Conduction into Tool given Total Rate of Heat Generation
​ LaTeX ​ Go Rate of Heat Conduction into The Tool = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation By Chip-Rate of Heat Conduction into The Workpiece
Rate of Energy Consumption using Rate of Heat Generation during Machining
​ LaTeX ​ Go Rate of Energy Consumption During Machining = Rate of Heat Generation in Primary Shear Zone+Rate of Heat Generation in Secondary Shear Zone

Total Rate of Heat Generation Formula

​LaTeX ​Go
Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation By Chip+Rate of Heat Conduction into The Workpiece+Rate of Heat Conduction into The Tool
Pm = Φc+Φw+Φt

How can heat generated in metal cutting be determined?

Heat is generated in three ways; by the deformation of the metal in the shear zone ahead of the cutting edge, at the point of separation when the metal is physically pulled apart, and by the friction of the chip as it rubs along the surface of the tool as it is pushed out of the way.

How to Calculate Total Rate of Heat Generation?

Total Rate of Heat Generation calculator uses Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation By Chip+Rate of Heat Conduction into The Workpiece+Rate of Heat Conduction into The Tool to calculate the Total Rate of Heat Generation in Metal Cutting, Total Rate of Heat Generation is defined as the total amount of heat being generated per unit of time while the machining process is done on the metal workpiece. Total Rate of Heat Generation in Metal Cutting is denoted by Pm symbol.

How to calculate Total Rate of Heat Generation using this online calculator? To use this online calculator for Total Rate of Heat Generation, enter Rate of Heat Transportation By Chip c), Rate of Heat Conduction into The Workpiece w) & Rate of Heat Conduction into The Tool t) and hit the calculate button. Here is how the Total Rate of Heat Generation calculation can be explained with given input values -> 108 = 54+38+16.

FAQ

What is Total Rate of Heat Generation?
Total Rate of Heat Generation is defined as the total amount of heat being generated per unit of time while the machining process is done on the metal workpiece and is represented as Pm = Φcwt or Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation By Chip+Rate of Heat Conduction into The Workpiece+Rate of Heat Conduction into The Tool. Rate of Heat Transportation By Chip is defined as the amount of heat transported by the chip, Rate of Heat Conduction into The Workpiece is defined as the rate of heat transferred into the workpiece with conduction & Rate of Heat Conduction into The Tool is defined as the amount of heat transferred into the tool with conduction while metal cutting.
How to calculate Total Rate of Heat Generation?
Total Rate of Heat Generation is defined as the total amount of heat being generated per unit of time while the machining process is done on the metal workpiece is calculated using Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation By Chip+Rate of Heat Conduction into The Workpiece+Rate of Heat Conduction into The Tool. To calculate Total Rate of Heat Generation, you need Rate of Heat Transportation By Chip c), Rate of Heat Conduction into The Workpiece w) & Rate of Heat Conduction into The Tool t). With our tool, you need to enter the respective value for Rate of Heat Transportation By Chip, Rate of Heat Conduction into The Workpiece & Rate of Heat Conduction into The Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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