Maximum Temperature rise in Chip in Secondary deformation zone Calculator

✖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 [R]			+10% -10%
✖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.ⓘ Maximum Temperature rise in Chip in Secondary deformation zone [θ_max]

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Formula

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Maximum Temperature rise in Chip in Secondary deformation zone

Formula

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

Example

`"679.0856°C"="88.5°C"*1.13*sqrt("41.5"/"0.9")`

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Maximum Temperature rise in Chip in Secondary deformation zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
θ_max = θ_f*1.13*sqrt(R/l₀)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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 ).}}

STEP 1: Convert Input(s) to Base Unit

Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion here)
Thermal Number: 41.5 --> No Conversion Required
Length of Heat Source per Chip Thickness: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_max = θ_f*1.13*sqrt(R/l₀) --> 88.5*1.13*sqrt(41.5/0.9)

Evaluating ... ...

θ_max = 679.085578830091

STEP 3: Convert Result to Output's Unit

952.235578830091 Kelvin -->679.085578830091 Celsius (Check conversion here)

FINAL ANSWER

679.085578830091 ≈ 679.0856 Celsius <-- Max Temp in Chip in Secondary Deformation Zone

(Calculation completed in 00.020 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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

Maximum Temperature rise in Chip in Secondary deformation zone Formula

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)
θ_max = θ_f*1.13*sqrt(R/l₀)

What is maximum temperature rise in the chip in the secondary deformation zone?

The maximum temperature rise in the chip in the secondary deformation zone is defined as the maximum amount of temperature rise of the chip in the secondary deformation zone

How to Calculate Maximum Temperature rise in Chip in Secondary deformation zone?

Maximum Temperature rise in Chip in Secondary deformation zone calculator uses 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) to calculate the Max Temp in Chip in Secondary Deformation Zone, The maximum temperature rise in chip in secondary deformation zone is defined as the maximum amount of temperature rise of the chip in the secondary deformation zone. Max Temp in Chip in Secondary Deformation Zone is denoted by θ_max symbol.

How to calculate Maximum Temperature rise in Chip in Secondary deformation zone using this online calculator? To use this online calculator for Maximum Temperature rise in Chip in Secondary deformation zone, enter Average Temp Rise of Chip in Secondary Shear Zone (θ_f), Thermal Number (R) & Length of Heat Source per Chip Thickness (l₀) and hit the calculate button. Here is how the Maximum Temperature rise in Chip in Secondary deformation zone calculation can be explained with given input values -> 405.9356 = 88.5*1.13*sqrt(41.5/0.9).

FAQ

What is Maximum Temperature rise in Chip in Secondary deformation zone?

The maximum temperature rise in chip in secondary deformation zone is defined as the maximum amount of temperature rise of the chip in the secondary deformation zone and is represented as θ_max = θ_f*1.13*sqrt(R/l₀) or 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). The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone, Thermal number is the thermal number of the metal cutting & Length of heat source per chip thickness is defined as the ratio of heat source divided by the chip thickness(l_{f /a_{o ).}}

How to calculate Maximum Temperature rise in Chip in Secondary deformation zone?

The maximum temperature rise in chip in secondary deformation zone is defined as the maximum amount of temperature rise of the chip in the secondary deformation zone is calculated using 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). To calculate Maximum Temperature rise in Chip in Secondary deformation zone, you need Average Temp Rise of Chip in Secondary Shear Zone (θ_f), Thermal Number (R) & Length of Heat Source per Chip Thickness (l₀). With our tool, you need to enter the respective value for Average Temp Rise of Chip in Secondary Shear Zone, Thermal Number & Length of Heat Source per Chip Thickness 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 Max Temp in Chip in Secondary Deformation Zone?

In this formula, Max Temp in Chip in Secondary Deformation Zone uses Average Temp Rise of Chip in Secondary Shear Zone, Thermal Number & Length of Heat Source per Chip Thickness. We can use 1 other way(s) to calculate the same, which is/are as follows -

Max Temp in Chip in Secondary Deformation Zone = Temperature Rise in Secondary Deformation+Temperature Rise in Primary Deformation+Initial Workpiece Temperature

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