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Average Temperature Rise of Material under Primary Deformation Zone Formula

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Average Temperature Rise is defined as the actual amount of increase in the temperature. Check FAQs

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

θ_avg - Average Temperature Rise?Γ - Fraction of Heat Conducted into The Workpiece?P_s - Rate of Heat Generation in Primary Shear Zone?ρ_wp - Density of Work Piece?C - Specific Heat Capacity of Workpiece?V_cut - Cutting Speed?a_c - Undeformed Chip Thickness?d_cut - Depth of Cut?

Average Temperature Rise of Material under Primary Deformation Zone Example

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Here is how the Average Temperature Rise of Material under Primary Deformation Zone equation looks like with Values.

Here is how the Average Temperature Rise of Material under Primary Deformation Zone equation looks like with Units.

Here is how the Average Temperature Rise of Material under Primary Deformation Zone equation looks like.

274.9004 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}

274.9004°C = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.25mm \cdot 2.5mm}

274.9004 = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}

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Average Temperature Rise of Material under Primary Deformation Zone Solution

Follow our step by step solution on how to calculate Average Temperature Rise of Material under Primary Deformation Zone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ avg = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.25mm \cdot 2.5mm}

Next Step Convert Units

∴

θ avg = \frac{(1 - 0.1) \cdot 1380W}{7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.0002m \cdot 0.0025m}

Next Step Prepare to Evaluate

∴

θ avg = \frac{(1 - 0.1) \cdot 1380}{7200 \cdot 502 \cdot 2 \cdot 0.0002 \cdot 0.0025}

Next Step Evaluate

∴

θ avg = 274.900398406375K

Next Step Convert to Output's Unit

∴

θ avg = 274.900398406375°C

LAST Step Rounding Answer

∴

θ avg = 274.9004°C

Average Temperature Rise of Material under Primary Deformation Zone Formula Elements

Variables

Average Temperature Rise

Average Temperature Rise is defined as the actual amount of increase in the temperature.

Symbol: θ_avg

Measurement: Temperature DifferenceUnit: °C

Note: Value should be greater than 0.

Formulas to find Average Temperature Rise

Fraction of Heat Conducted into The Workpiece

Fraction of Heat Conducted into The Workpiece defined as a portion of specimen which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.

Symbol: Γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction of Heat Conducted into The Workpiece

Rate of Heat Generation in Primary Shear Zone

The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.

Symbol: P_s

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Rate of Heat Generation in Primary Shear Zone

Density of Work Piece

Density of Work Piece is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ_wp

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Work Piece

Specific Heat Capacity of Workpiece

The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: C

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity of Workpiece

Cutting Speed

Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).

Symbol: V_cut

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Speed

Undeformed Chip Thickness

Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.

Symbol: a_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Undeformed Chip Thickness

Depth of Cut

Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

Symbol: d_cut

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut

Other formulas in Temperature Rise category

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}

How to Evaluate Average Temperature Rise of Material under Primary Deformation Zone?

Average Temperature Rise of Material under Primary Deformation Zone evaluator uses 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) to evaluate the Average Temperature Rise, The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone. Average Temperature Rise is denoted by θ_avg symbol.

How to evaluate Average Temperature Rise of Material under Primary Deformation Zone using this online evaluator? To use this online evaluator for Average Temperature Rise of Material under Primary Deformation Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) and hit the calculate button.

FAQs on Average Temperature Rise of Material under Primary Deformation Zone

What is the formula to find Average Temperature Rise of Material under Primary Deformation Zone?

The formula of Average Temperature Rise of Material under Primary Deformation Zone is expressed as 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). Here is an example- 274.7925 = ((1-0.1)*1380)/(7200*502*2*0.00025*0.0025).

How to calculate Average Temperature Rise of Material under Primary Deformation Zone?

With Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), Density of Work Piece (ρ_wp), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cut), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) we can find Average Temperature Rise of Material under Primary Deformation Zone using the formula - 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).

Can the Average Temperature Rise of Material under Primary Deformation Zone be negative?

No, the Average Temperature Rise of Material under Primary Deformation Zone, measured in Temperature Difference cannot be negative.

Which unit is used to measure Average Temperature Rise of Material under Primary Deformation Zone?

Average Temperature Rise of Material under Primary Deformation Zone 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 Material under Primary Deformation Zone can be measured.

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Average Temperature Rise of Material under Primary Deformation Zone Formula

Average Temperature Rise of Material under Primary Deformation Zone Example

Average Temperature Rise of Material under Primary Deformation Zone Solution

Average Temperature Rise of Material under Primary Deformation Zone Formula Elements

Other formulas in Temperature Rise category

How to Evaluate Average Temperature Rise of Material under Primary Deformation Zone?

FAQs on Average Temperature Rise of Material under Primary Deformation Zone

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