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
Parul Keshav has created this Calculator and 300+ more calculators!
Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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18 Temperatures in Metal Cutting Calculators

Undeformed Chip Thickness given Average Temperature Rise of Material under Primary Shear Zone
Go Undeformed Chip Thickness = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Average Temperature Rise*Depth of Cut)
Density of Material using Average Temperature Rise of material under Primary Shear Zone
Go Density of work piece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Specific Heat given Average Temperature Rise of Material under Primary Shear Zone
Go Specific Heat Capacity of Workpiece = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Average Temperature Rise*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone
Go Cutting Speed = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut)
Depth of Cut given Average Temperature Rise of Material under Primary Shear Zone
Go Depth of Cut = ((1-Fraction of Heat Conducted into the workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Average Temperature Rise)
Un-deformed Chip Thickness using Average Temperature Rise of Chip from Secondary Deformation
Go Undeformed Chip Thickness = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Average Temp Rise of Chip in Secondary Shear Zone*Depth of Cut)
Specific Heat using Average Temperature Rise of Chip from Secondary Deformation
Go Specific Heat Capacity of Workpiece = Rate of Heat Gen in Secondary Shear Zone/(Average Temp Rise of Chip in Secondary Shear Zone*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Depth of Cut using Average Temperature Rise of Chip from Secondary Deformation
Go Depth of Cut = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Average Temp Rise of Chip in Secondary Shear Zone)
Density of Material using Average Temperature rise of Chip from Secondary Deformation
Go Density of work piece = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Average Temp Rise of Chip in Secondary Shear Zone*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Cutting Speed using Average Temperature Rise of Chip from Secondary Deformation
Go Cutting Speed = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Average Temp Rise of Chip in Secondary Shear Zone*Undeformed Chip Thickness*Depth of Cut)
Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone
Go Length of Heat Source per Chip Thickness = Thermal Number/((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)
Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone
Go Thermal Number = Length of Heat Source per Chip Thickness*((Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2)
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
Initial Workpiece Temperature using Maximum Temperature in Secondary Deformation Zone
Go Initial Workpiece Temperature = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Secondary Deformation-Temperature Rise in Primary Deformation
Maximum temperature in secondary deformation zone
Go Max Temp in Chip in Secondary Deformation Zone = Temperature Rise in Secondary Deformation+Temperature Rise in Primary Deformation+Initial Workpiece Temperature
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

3 Rate of Heat Conduction Calculators

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

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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