Rate of Heat Conduction into Tool given Total Rate of Heat Generation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Φt = Pm-Φc-Φw
This formula uses 4 Variables
Variables Used
Rate of Heat Conduction into the Tool - (Measured in Watt) - The Rate of Heat Conduction into the Tool is defined as the amount of heat transferred into the tool with conduction while metal cutting.
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 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) - The Rate of Heat Conduction into the Workpiece is defined as the rate of heat transferred into the workpiece with conduction.
STEP 1: Convert Input(s) to Base Unit
Total Rate of Heat Generation in Metal Cutting: 108 Watt --> 108 Watt No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φt = Pmcw --> 108-54-38
Evaluating ... ...
Φt = 16
STEP 3: Convert Result to Output's Unit
16 Watt --> No Conversion Required
FINAL ANSWER
16 Watt <-- Rate of Heat Conduction into the Tool
(Calculation completed in 00.008 seconds)

Credits

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

Rate of Heat Generated in Primary Shear Zone given Temperature Rise
Go Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece)
Rate of Heat generated in Secondary Shear Zone given Average Temperature
Go Rate of Heat Gen in Secondary Shear Zone = (Average Temp Rise of Chip in Secondary Shear Zone*Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Rate of Heat Conduction into Workpiece given Total Rate of Heat Generation
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
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
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
Total Rate of Heat Generation
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
Rate of Heat Generation in Primary Deformation using Rate of Energy Consumption
Go Rate of Heat Generation in Primary Shear Zone = Rate of Energy Consumption during Machining-Rate of Heat Gen in Secondary Shear Zone
Rate of Energy Consumption using Rate of Heat Generation during Machining
Go Rate of Energy Consumption during Machining = Rate of Heat Generation in Primary Shear Zone+Rate of Heat Gen in Secondary Shear Zone
Rate of Heat Generation in Secondary Deformation Zone
Go Rate of Heat Gen in Secondary Shear Zone = Rate of Energy Consumption during Machining-Rate of Heat Generation in Primary Shear Zone

Rate of Heat Conduction into Tool given Total Rate of Heat Generation Formula

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
Φt = Pm-Φc-Φw

What is cutting temperature?

During the cutting of metal, the temperature of the interaction area of the cutting tool and workpiece becomes high. The temperature affects not only the rate of wear of the cutting tool but also the integrity of the workpiece surfaces such as residual stress, hardness, and surface roughness.

How to Calculate Rate of Heat Conduction into Tool given Total Rate of Heat Generation?

Rate of Heat Conduction into Tool given Total Rate of Heat Generation calculator uses 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 to calculate the Rate of Heat Conduction into the Tool, The Rate of Heat conduction into tool given Total rate of Heat Generation is defined as the rate of heat transferred into the tool while the metal cutting process. Rate of Heat Conduction into the Tool is denoted by Φt symbol.

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

FAQ

What is Rate of Heat Conduction into Tool given Total Rate of Heat Generation?
The Rate of Heat conduction into tool given Total rate of Heat Generation is defined as the rate of heat transferred into the tool while the metal cutting process and is represented as Φt = Pmcw or 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. The Total Rate of Heat Generation in Metal Cutting is defined as the total amount of heat generated while metal cutting, Rate of Heat Transportation by Chip is defined as the amount of heat transported by the chip & The Rate of Heat Conduction into the Workpiece is defined as the rate of heat transferred into the workpiece with conduction.
How to calculate Rate of Heat Conduction into Tool given Total Rate of Heat Generation?
The Rate of Heat conduction into tool given Total rate of Heat Generation is defined as the rate of heat transferred into the tool while the metal cutting process is calculated using 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. To calculate Rate of Heat Conduction into Tool given Total Rate of Heat Generation, you need Total Rate of Heat Generation in Metal Cutting (Pm), Rate of Heat Transportation by Chip c) & Rate of Heat Conduction into the Workpiece w). With our tool, you need to enter the respective value for Total Rate of Heat Generation in Metal Cutting, Rate of Heat Transportation by Chip & Rate of Heat Conduction into the Workpiece 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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