Average Temperature Rise of Material under Primary Deformation Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
θavg rise = ((1-Γ)*Ps)/(ρwork piece*C*Vcutting*ac*dcut)
This formula uses 8 Variables
Variables Used
Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
Fraction of Heat Conducted into the workpiece - Fraction of Heat Conducted into the workpiece, a portion of Ps which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.
Rate of Heat Generation in Primary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.
Density of work piece - (Measured in Kilogram per Cubic Meter) - The Density of work piece is the mass per unit volume ratio of the material of workpiece.
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.
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
Fraction of Heat Conducted into the workpiece: 0.1 --> No Conversion Required
Rate of Heat Generation in Primary Shear Zone: 1380 Watt --> 1380 Watt No Conversion Required
Density of work piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K 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
θavg rise = ((1-Γ)*Ps)/(ρwork piece*C*Vcutting*ac*dcut) --> ((1-0.1)*1380)/(7200*502*2*0.00025*0.0025)
Evaluating ... ...
θavg rise = 274.900398406375
STEP 3: Convert Result to Output's Unit
274.900398406375 Kelvin -->274.900398406375 Degree Celsius (Check conversion here)
FINAL ANSWER
274.900398406375 274.9004 Degree Celsius <-- Average Temperature Rise
(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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6 Temperature Rise Calculators

Average Temperature Rise of Material under Primary Deformation Zone
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
Go Average Temp Rise of Chip in Secondary Shear Zone = Rate of Heat Gen in Secondary Shear Zone/(Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Average Temperature rise of chip from Secondary Deformation within boundary condition
Go 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))
Maximum Temperature rise in Chip in Secondary deformation zone
Go Max Temp in Chip in Secondary Deformation Zone = Average Temp Rise of Chip in Secondary Shear Zone*1.13*sqrt(Thermal Number/Length of Heat Source per Chip Thickness)
Temperature Rise of Material in Secondary Deformation Zone
Go Temperature Rise in Secondary Deformation = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Primary Deformation-Initial Workpiece Temperature
Temperature rise of material in primary deformation zone
Go Temperature Rise in Primary Deformation = Max Temp in Chip in Secondary Deformation Zone-Temperature Rise in Secondary Deformation-Initial Workpiece Temperature

Average Temperature Rise of Material under Primary Deformation Zone Formula

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)
θavg rise = ((1-Γ)*Ps)/(ρwork piece*C*Vcutting*ac*dcut)

Which metals heat up the fastest?

The aluminum conducted heat the fastest at an average of 14 seconds. The bronze was the second-fastest at 16 seconds. The silver nickel averaged 19 seconds to conduct heat and appeared to be the strongest metal used in the experiment, as it did not melt or bend.

How to Calculate Average Temperature Rise of Material under Primary Deformation Zone?

Average Temperature Rise of Material under Primary Deformation Zone calculator uses 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) to calculate the Average Temperature Rise, The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone. Average Temperature Rise is denoted by θavg rise symbol.

How to calculate Average Temperature Rise of Material under Primary Deformation Zone using this online calculator? To use this online calculator for Average Temperature Rise of Material under Primary Deformation Zone, enter Fraction of Heat Conducted into the workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (Ps), Density of work piece work piece), Specific Heat Capacity of Workpiece (C), Cutting Speed (Vcutting), Undeformed Chip Thickness (ac) & Depth of Cut (dcut) and hit the calculate button. Here is how the Average Temperature Rise of Material under Primary Deformation Zone calculation can be explained with given input values -> 274.9004 = ((1-0.1)*1380)/(7200*502*2*0.00025*0.0025).

FAQ

What is Average Temperature Rise of Material under Primary Deformation Zone?
The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone and is represented as θavg rise = ((1-Γ)*Ps)/(ρwork piece*C*Vcutting*ac*dcut) or 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). Fraction of Heat Conducted into the workpiece, a portion of Ps which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip, The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining, The Density of work piece is the mass per unit volume ratio of the material of workpiece, The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius, 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 Material under Primary Deformation Zone?
The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone is calculated using 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). To calculate Average Temperature Rise of Material under Primary Deformation Zone, you need Fraction of Heat Conducted into the workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (Ps), Density of work piece work piece), Specific Heat Capacity of Workpiece (C), Cutting Speed (Vcutting), Undeformed Chip Thickness (ac) & Depth of Cut (dcut). With our tool, you need to enter the respective value for 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 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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