Rate of Heat Transportation by Chip given Total Rate of Heat Generation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Φc = Pm-Φw-Φt
This formula uses 4 Variables
Variables Used
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.
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 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.
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.
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 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
Φc = Pmwt --> 108-38-16
Evaluating ... ...
Φc = 54
STEP 3: Convert Result to Output's Unit
54 Watt --> No Conversion Required
FINAL ANSWER
54 Watt <-- Rate of Heat Transportation by Chip
(Calculation completed in 00.004 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 Transportation by Chip given Total Rate of Heat Generation Formula

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
Φc = Pm-Φw-Φt

In which zone maximum heat is generated while cutting?

The narrow zone surrounding the shear plane in machining is termed a primary shear zone. The area surrounding the chip-tool contact region is called the secondary deformation zone. This zone consists of a part of work material (uncut chip) and a part of the chip.

How to Calculate Rate of Heat Transportation by Chip given Total Rate of Heat Generation?

Rate of Heat Transportation by Chip given Total Rate of Heat Generation calculator uses 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 to calculate the Rate of Heat Transportation by Chip, Rate of Heat Transportation by Chip given Total rate of Heat Generation is defined as the amount of heat being transported by the chip, per unit of time while metal cutting. Rate of Heat Transportation by Chip is denoted by Φc symbol.

How to calculate Rate of Heat Transportation by Chip given Total Rate of Heat Generation using this online calculator? To use this online calculator for Rate of Heat Transportation by Chip given Total Rate of Heat Generation, enter Total Rate of Heat Generation in Metal Cutting (Pm), 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 Rate of Heat Transportation by Chip given Total Rate of Heat Generation calculation can be explained with given input values -> 54 = 108-38-16.

FAQ

What is Rate of Heat Transportation by Chip given Total Rate of Heat Generation?
Rate of Heat Transportation by Chip given Total rate of Heat Generation is defined as the amount of heat being transported by the chip, per unit of time while metal cutting and is represented as Φc = Pmwt or 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. The Total Rate of Heat Generation in Metal Cutting is defined as the total amount of heat generated while metal cutting, The Rate of Heat Conduction into the Workpiece is defined as the rate of heat transferred into the workpiece with conduction & The 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 Rate of Heat Transportation by Chip given Total Rate of Heat Generation?
Rate of Heat Transportation by Chip given Total rate of Heat Generation is defined as the amount of heat being transported by the chip, per unit of time while metal cutting is calculated using 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. To calculate Rate of Heat Transportation by Chip given Total Rate of Heat Generation, you need Total Rate of Heat Generation in Metal Cutting (Pm), 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 Total Rate of Heat Generation in Metal Cutting, 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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