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 refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process.ⓘ 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.ⓘ 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 = \frac{θ max}{1.13 \cdot \sqrt{\frac{R}{l 0}}}

Example

88.50002 °C = \frac{669 °C}{1.13 \cdot \sqrt{\frac{41.5}{0.927341}}}

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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 refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process.
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.

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: 0.927341 --> 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(41.5/0.927341))

Evaluating ... ...

θ_f = 88.50001751309

STEP 3: Convert Result to Output's Unit

88.50001751309 Kelvin -->88.50001751309 Degree Celsius (Check conversion here)

FINAL ANSWER

88.50001751309 ≈ 88.50002 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

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Osmania University (OU), Hyderabad

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< Temperature Rise Calculators

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)

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 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 within the boudary condition. 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(41.5/0.927341)).

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 within the boudary condition 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 refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process & Length of Heat Source Per Chip Thickness is defined as the ratio of heat source divided by the chip thickness.

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 within the boudary condition 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 Generation 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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