Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
l0 = R/((θmax/(θf*1.13))^2)
This formula uses 4 Variables
Variables Used
Length of Heat Source Per Chip Thickness - Length of Heat Source Per Chip Thickness is defined as the ratio of heat source divided by the chip thickness.
Thermal Number - Thermal number refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process.
Max Temp in Chip in Secondary Deformation Zone - (Measured in Celsius) - Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach.
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.
STEP 1: Convert Input(s) to Base Unit
Thermal Number: 41.5 --> No Conversion Required
Max Temp in Chip in Secondary Deformation Zone: 669 Celsius --> 669 Celsius No Conversion Required
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l0 = R/((θmax/(θf*1.13))^2) --> 41.5/((669/(88.5*1.13))^2)
Evaluating ... ...
l0 = 0.927340632980756
STEP 3: Convert Result to Output's Unit
0.927340632980756 --> No Conversion Required
FINAL ANSWER
0.927340632980756 0.927341 <-- Length of Heat Source Per Chip Thickness
(Calculation completed in 00.004 seconds)

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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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)

Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone Formula

​LaTeX ​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)
l0 = R/((θmax/(θf*1.13))^2)

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 Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone?

Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone calculator uses 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) to calculate the Length of Heat Source Per Chip Thickness, The Length of Heat source per Chip Thickness using Max Temperature rise in Secondary shear zone is given is defined as the ratio of heat source per chip thickness. Length of Heat Source Per Chip Thickness is denoted by l0 symbol.

How to calculate Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone using this online calculator? To use this online calculator for Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone, enter Thermal Number (R), Max Temp in Chip in Secondary Deformation Zone max) & Average Temp Rise of Chip in Secondary Shear Zone f) and hit the calculate button. Here is how the Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone calculation can be explained with given input values -> 0.927341 = 41.5/((942.15/(88.5*1.13))^2).

FAQ

What is Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone?
The Length of Heat source per Chip Thickness using Max Temperature rise in Secondary shear zone is given is defined as the ratio of heat source per chip thickness and is represented as l0 = R/((θmax/(θf*1.13))^2) or 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 refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process, Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach & The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
How to calculate Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone?
The Length of Heat source per Chip Thickness using Max Temperature rise in Secondary shear zone is given is defined as the ratio of heat source per chip thickness is calculated using 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). To calculate Length of Heat Source per Chip Thickness using Max Temperature Rise in Secondary Shear Zone, you need Thermal Number (R), Max Temp in Chip in Secondary Deformation Zone max) & Average Temp Rise of Chip in Secondary Shear Zone f). With our tool, you need to enter the respective value for Thermal Number, Max Temp in Chip in Secondary Deformation Zone & Average Temp Rise of Chip in Secondary Shear Zone 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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