Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Calculator

✖Length of heat source per chip thickness is defined as the ratio of heat source divided by the chip thickness(l_{f /a_{o ).}}ⓘ Length of Heat Source per Chip Thickness [l₀]			+10% -10%
✖Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach.ⓘ Max Temp in Chip in Secondary Deformation Zone [θ_max]			+10% -10%
✖The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.ⓘ Average Temp Rise of Chip in Secondary Shear Zone [θ_f]			+10% -10%

✖Thermal number is the thermal number of the metal cutting.ⓘ Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone [R]

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Formula

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Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone

Formula

`"R" = "l"_{"0"}*(("θ"_{"max"}/("θ"_{"f"}*1.13))^2)`

Example

`"40.27646"="0.9"*(("669°C"/("88.5°C"*1.13))^2)`

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Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R = l₀*((θ_max/(θ_f*1.13))^2)
This formula uses 4 Variables

Variables Used

Thermal Number - Thermal number is the thermal number of the metal cutting.
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(l_{f /a_{o ).
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

Length of Heat Source per Chip Thickness: 0.9 --> 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

R = l₀*((θ_max/(θ_f*1.13))^2) --> 0.9*((669/(88.5*1.13))^2)

Evaluating ... ...

R = 40.2764622530835

STEP 3: Convert Result to Output's Unit

40.2764622530835 --> No Conversion Required

FINAL ANSWER

40.2764622530835 ≈ 40.27646 <-- Thermal Number

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Temperatures in Metal Cutting » Temperature Rise » Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 20 Temperature Rise 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)

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)

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)

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)

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)

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

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

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

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Formula

Temperature rise of the material in primary deformation zone

The temperature rise of the material in the primary deformation zone formula is defined as the amount of rising in temperature when the material passes through the primary deformation zone.

How to Calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone calculator uses 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) to calculate the Thermal Number, The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting. Thermal Number is denoted by R symbol.

How to calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone using this online calculator? To use this online calculator for Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone, enter Length of Heat Source per Chip Thickness (l₀), Max Temp in Chip in Secondary Deformation Zone (θ_max) & Average Temp Rise of Chip in Secondary Shear Zone (θ_f) and hit the calculate button. Here is how the Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone calculation can be explained with given input values -> 40.27646 = 0.9*((942.15/(88.5*1.13))^2).

FAQ

What is Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?

The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting and is represented as R = l₀*((θ_max/(θ_f*1.13))^2) or 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). Length of heat source per chip thickness is defined as the ratio of heat source divided by the chip thickness(l_{f /a_{o ), 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 Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?

The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting is calculated using 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). To calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone, you need Length of Heat Source per Chip Thickness (l₀), Max Temp in Chip in Secondary Deformation Zone (θ_max) & Average Temp Rise of Chip in Secondary Shear Zone (θ_f). With our tool, you need to enter the respective value for Length of Heat Source per Chip Thickness, 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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