Average Temperature rise of chip from Secondary Deformation within boundary condition Calculator

✖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%
✖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%

✖The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.ⓘ Average Temperature rise of chip from Secondary Deformation within boundary condition [θ_f]

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Formula

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Average Temperature rise of chip from Secondary Deformation within boundary condition

Formula

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

Example

`"87.18562°C"="669°C"/(1.13*sqrt("41.5"/"0.9"))`

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Average Temperature rise of chip from Secondary Deformation within boundary condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
θ_f = θ_max/(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

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.
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.
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

Max Temp in Chip in Secondary Deformation Zone: 669 Celsius --> 669 Celsius No Conversion Required
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_f = θ_max/(1.13*sqrt(R/l₀)) --> 669/(1.13*sqrt(41.5/0.9))

Evaluating ... ...

θ_f = 87.1856240887919

STEP 3: Convert Result to Output's Unit

87.1856240887919 Kelvin -->87.1856240887919 Degree Celsius (Check conversion here)

FINAL ANSWER

87.1856240887919 ≈ 87.18562 Degree Celsius <-- Average Temp Rise of Chip in Secondary Shear Zone

(Calculation completed in 00.004 seconds)

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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)

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)

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)

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)

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)

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

Average Temperature rise of chip from Secondary Deformation within boundary condition Formula

What is Average Temperature rise of chip from secondary deformation?

The Average Temperature rise of the chip from secondary deformation is defined as the average temperature rise of the chip in the secondary deformation zone.

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

Average Temperature rise of chip from Secondary Deformation within boundary condition calculator uses 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)) to calculate the Average Temp Rise of Chip in Secondary Shear Zone, The Average Temperature rise of chip from secondary deformation within boundary condition is defined as the average temperature rise of the chip in the secondary deformation zone. Average Temp Rise of Chip in Secondary Shear Zone is denoted by θ_f symbol.

How to calculate Average Temperature rise of chip from Secondary Deformation within boundary condition using this online calculator? To use this online calculator for Average Temperature rise of chip from Secondary Deformation within boundary condition, enter Max Temp in Chip in Secondary Deformation Zone (θ_max), Thermal Number (R) & Length of Heat Source per Chip Thickness (l₀) and hit the calculate button. Here is how the Average Temperature rise of chip from Secondary Deformation within boundary condition calculation can be explained with given input values -> 87.18562 = 942.15/(1.13*sqrt(41.5/0.9)).

FAQ

What is Average Temperature rise of chip from Secondary Deformation within boundary condition?

The Average Temperature rise of chip from secondary deformation within boundary condition is defined as the average temperature rise of the chip in the secondary deformation zone and is represented as θ_f = θ_max/(1.13*sqrt(R/l₀)) or 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)). Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach, 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 Average Temperature rise of chip from Secondary Deformation within boundary condition?

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

In this formula, Average Temp Rise of Chip in Secondary Shear Zone uses Max Temp in Chip in Secondary Deformation 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 -

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)

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