Average Temperature rise of chip from Secondary Deformation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
θf = Pf/(C*ρwp*Vcut*ac*dcut)
This formula uses 7 Variables
Variables Used
Average Temp Rise of Chip in Secondary Shear Zone - (Measured in Kelvin) - The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
Rate of Heat Generation in Secondary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip tool contact region.
Specific Heat Capacity of Workpiece - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
STEP 1: Convert Input(s) to Base Unit
Rate of Heat Generation in Secondary Shear Zone: 400 Watt --> 400 Watt No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
Density of Work Piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion ​here)
Depth of Cut: 2.5 Millimeter --> 0.0025 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θf = Pf/(C*ρwp*Vcut*ac*dcut) --> 400/(502*7200*2*0.00025*0.0025)
Evaluating ... ...
θf = 88.5347498893316
STEP 3: Convert Result to Output's Unit
88.5347498893316 Kelvin -->88.5347498893316 Degree Celsius (Check conversion ​here)
FINAL ANSWER
88.5347498893316 88.53475 Degree Celsius <-- Average Temp Rise of Chip in Secondary Shear Zone
(Calculation completed in 00.020 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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Temperature Rise Calculators

Density of Material using Average Temperature Rise of material under Primary Shear Zone
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)
Average Temperature Rise of Material under Primary Deformation Zone
​ LaTeX ​ Go Average Temperature Rise = ((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*Depth of Cut)

Average Temperature rise of chip from Secondary Deformation Formula

​LaTeX ​Go
Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
θf = Pf/(C*ρwp*Vcut*ac*dcut)

What is uncut chip thickness?

Uncut chip thickness is comparable to cutting edge radius in micromachining. If the uncut chip thickness is less than a critical value, there will be no chip formation. This critical value is termed as minimum uncut chip thickness.

How to Calculate Average Temperature rise of chip from Secondary Deformation?

Average Temperature rise of chip from Secondary Deformation calculator uses Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut) to calculate the Average Temp Rise of Chip in Secondary Shear Zone, The Average Temperature rise of chip from secondary deformation zone is defined as the average is in temperature of the chip in the secondary deformation zone. Average Temp Rise of Chip in Secondary Shear Zone is denoted by θf symbol.

How to calculate Average Temperature rise of chip from Secondary Deformation using this online calculator? To use this online calculator for Average Temperature rise of chip from Secondary Deformation, enter Rate of Heat Generation in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of Work Piece wp), Cutting Speed (Vcut), Undeformed Chip Thickness (ac) & Depth of Cut (dcut) and hit the calculate button. Here is how the Average Temperature rise of chip from Secondary Deformation calculation can be explained with given input values -> 88.5 = 400/(502*7200*2*0.00025*0.0025).

FAQ

What is Average Temperature rise of chip from Secondary Deformation?
The Average Temperature rise of chip from secondary deformation zone is defined as the average is in temperature of the chip in the secondary deformation zone and is represented as θf = Pf/(C*ρwp*Vcut*ac*dcut) or Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut). The Rate of Heat Generation in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip tool contact region, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, Density of Work Piece is the mass per unit volume ratio of the material of workpiece, Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute), Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
How to calculate Average Temperature rise of chip from Secondary Deformation?
The Average Temperature rise of chip from secondary deformation zone is defined as the average is in temperature of the chip in the secondary deformation zone is calculated using Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Generation in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut). To calculate Average Temperature rise of chip from Secondary Deformation, you need Rate of Heat Generation in Secondary Shear Zone (Pf), Specific Heat Capacity of Workpiece (C), Density of Work Piece wp), Cutting Speed (Vcut), Undeformed Chip Thickness (ac) & Depth of Cut (dcut). With our tool, you need to enter the respective value for Rate of Heat Generation in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Density of Work Piece, Cutting Speed, Undeformed Chip Thickness & Depth of Cut and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Average Temp Rise of Chip in Secondary Shear Zone?
In this formula, Average Temp Rise of Chip in Secondary Shear Zone uses Rate of Heat Generation in Secondary Shear Zone, Specific Heat Capacity of Workpiece, Density of Work Piece, Cutting Speed, Undeformed Chip Thickness & Depth of Cut. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Temp Rise of Chip in Secondary Shear Zone = Max Temp in Chip in Secondary Deformation Zone/(1.13*sqrt(Thermal Number/Length of Heat Source Per Chip Thickness))
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