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

GoAverage Temperature rise of chip from Secondary Deformation Formula

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The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone. Check FAQs

θ f = \frac{θ max}{1.13 \cdot \sqrt{\frac{R}{l 0}}}

θ_f - Average Temp Rise of Chip in Secondary Shear Zone?θ_max - Max Temp in Chip in Secondary Deformation Zone?R - Thermal Number?l₀ - Length of Heat Source Per Chip Thickness?

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

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Here is how the Average Temperature rise of chip from Secondary Deformation within boundary condition equation looks like with Values.

Here is how the Average Temperature rise of chip from Secondary Deformation within boundary condition equation looks like with Units.

Here is how the Average Temperature rise of chip from Secondary Deformation within boundary condition equation looks like.

88.5 = \frac{669}{1.13 \cdot \sqrt{\frac{41.5}{0.9273}}}

88.5°C = \frac{669°C}{1.13 \cdot \sqrt{\frac{41.5}{0.9273}}}

88.5 = \frac{669}{1.13 \cdot \sqrt{\frac{41.5}{0.9273}}}

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

Follow our step by step solution on how to calculate Average Temperature rise of chip from Secondary Deformation within boundary condition?

FIRST Step Consider the formula

θ f = \frac{θ max}{1.13 \cdot \sqrt{\frac{R}{l 0}}}

Next Step Substitute values of Variables

∴

θ f = \frac{669°C}{1.13 \cdot \sqrt{\frac{41.5}{0.9273}}}

Next Step Prepare to Evaluate

∴

θ f = \frac{669}{1.13 \cdot \sqrt{\frac{41.5}{0.9273}}}

Next Step Evaluate

∴

θ f = 88.50001751309K

Next Step Convert to Output's Unit

∴

θ f = 88.50001751309°C

LAST Step Rounding Answer

∴

θ f = 88.5°C

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

Variables

Functions

Average Temp Rise of Chip in Secondary Shear Zone

The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.

Symbol: θ_f

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Average Temp Rise of Chip in Secondary Shear Zone

Max Temp in Chip in Secondary Deformation Zone

Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach.

Symbol: θ_max

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Max Temp in Chip in Secondary Deformation Zone

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.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Thermal Number

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.

Symbol: l₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Length of Heat Source Per Chip Thickness

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.

Syntax: sqrt(Number)

Other Formulas to find Average Temp Rise of Chip in Secondary Shear Zone

Go Average Temperature rise of chip from Secondary Deformation

θ f = \frac{P f}{C \cdot ρ wp \cdot V cut \cdot a c \cdot d cut}

Other formulas in Temperature Rise category

Go Average Temperature Rise of Material under Primary Deformation Zone

θ avg = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot V cut \cdot a c \cdot d cut}

Go Density of Material using Average Temperature Rise of material under Primary Shear Zone

ρ wp = \frac{(1 - Γ) \cdot P s}{θ avg \cdot C \cdot V cut \cdot a c \cdot d cut}

Go Specific Heat given Average Temperature Rise of Material under Primary Shear Zone

C = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot θ avg \cdot V cut \cdot a c \cdot d cut}

Go Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone

V cut = \frac{(1 - Γ) \cdot P s}{ρ wp \cdot C \cdot θ avg \cdot a c \cdot d cut}

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

Average Temperature rise of chip from Secondary Deformation within boundary condition evaluator 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 evaluate 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 evaluate Average Temperature rise of chip from Secondary Deformation within boundary condition using this online evaluator? To use this online evaluator 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.

FAQs on Average Temperature rise of chip from Secondary Deformation within boundary condition

What is the formula to find Average Temperature rise of chip from Secondary Deformation within boundary condition?

The formula of Average Temperature rise of chip from Secondary Deformation within boundary condition is expressed as 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)). Here is an example- 87.18562 = 942.15/(1.13*sqrt(41.5/0.927341)).

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

With Max Temp in Chip in Secondary Deformation Zone (θ_max), Thermal Number (R) & Length of Heat Source Per Chip Thickness (l₀) we can find Average Temperature rise of chip from Secondary Deformation within boundary condition using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Average Temp Rise of Chip in Secondary Shear Zone?

Here are the different ways to Calculate Average Temp Rise of Chip in Secondary Shear Zone-

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)

Can the Average Temperature rise of chip from Secondary Deformation within boundary condition be negative?

No, the Average Temperature rise of chip from Secondary Deformation within boundary condition, measured in Temperature Difference cannot be negative.

Which unit is used to measure Average Temperature rise of chip from Secondary Deformation within boundary condition?

Average Temperature rise of chip from Secondary Deformation within boundary condition is usually measured using the Degree Celsius[°C] for Temperature Difference. Kelvin[°C], Degree Centigrade[°C], Degree Fahrenheit[°C] are the few other units in which Average Temperature rise of chip from Secondary Deformation within boundary condition can be measured.

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

​GoAverage Temperature rise of chip from Secondary Deformation Formula

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

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

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

Other Formulas to find Average Temp Rise of Chip in Secondary Shear Zone

Other formulas in Temperature Rise category

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

FAQs on Average Temperature rise of chip from Secondary Deformation within boundary condition

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GoAverage Temperature rise of chip from Secondary Deformation Formula