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Rate of Heat Generated in Primary Shear Zone given Temperature Rise Formula

GoRate of Heat Generation in Primary Deformation using Rate of Energy Consumption Formula

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

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

P_s - Rate of Heat Generation in Primary Shear Zone?θ_avg - Average Temperature Rise?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?Γ - Fraction of Heat Conducted into The Workpiece?

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Example

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Here is how the Rate of Heat Generated in Primary Shear Zone given Temperature Rise equation looks like with Values.

Here is how the Rate of Heat Generated in Primary Shear Zone given Temperature Rise equation looks like with Units.

Here is how the Rate of Heat Generated in Primary Shear Zone given Temperature Rise equation looks like.

1379.998 = \frac{274.9 \cdot 7200 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}{1 - 0.1}

1379.998W = \frac{274.9°C \cdot 7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.25mm \cdot 2.5mm}{1 - 0.1}

1379.998 = \frac{274.9 \cdot 7200 \cdot 502 \cdot 2 \cdot 0.25 \cdot 2.5}{1 - 0.1}

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Rate of Heat Generated in Primary Shear Zone given Temperature Rise Solution

Follow our step by step solution on how to calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P s = \frac{274.9°C \cdot 7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.25mm \cdot 2.5mm}{1 - 0.1}

Next Step Convert Units

∴

P s = \frac{274.9K \cdot 7200kg/m³ \cdot 502J/(kg*K) \cdot 2m/s \cdot 0.0002m \cdot 0.0025m}{1 - 0.1}

Next Step Prepare to Evaluate

∴

P s = \frac{274.9 \cdot 7200 \cdot 502 \cdot 2 \cdot 0.0002 \cdot 0.0025}{1 - 0.1}

LAST Step Evaluate

∴

P s = 1379.998W

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Formula Elements

Variables

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

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

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

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

Other Formulas to find Rate of Heat Generation in Primary Shear Zone

Go Rate of Heat Generation in Primary Deformation using Rate of Energy Consumption

P s = P c - P f

Other formulas in Heat Conduction Rate category

Go Rate of Heat Conduction into Workpiece given Total Rate of Heat Generation

Φ w = P m - Φ c - Φ t

Go Rate of Heat Conduction into Tool given Total Rate of Heat Generation

Φ t = P m - Φ c - Φ w

How to Evaluate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

Rate of Heat Generated in Primary Shear Zone given Temperature Rise evaluator uses Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of Work Piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into The Workpiece) to evaluate the Rate of Heat Generation in Primary Shear Zone, The Rate of Heat Generated in Primary Shear Zone given temperature rise is the amount of heat generated in the narrow zone surrounding the shear plane in machining. Rate of Heat Generation in Primary Shear Zone is denoted by P_s symbol.

How to evaluate Rate of Heat Generated in Primary Shear Zone given Temperature Rise using this online evaluator? To use this online evaluator for Rate of Heat Generated in Primary Shear Zone given Temperature Rise, enter Average Temperature Rise (θ_avg), 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) & Fraction of Heat Conducted into The Workpiece (Γ) and hit the calculate button.

FAQs on Rate of Heat Generated in Primary Shear Zone given Temperature Rise

What is the formula to find Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

The formula of Rate of Heat Generated in Primary Shear Zone given Temperature Rise is expressed as Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of Work Piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into The Workpiece). Here is an example- 1380.54 = (274.9*7200*502*2*0.00025*0.0025)/(1-0.1).

How to calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

With Average Temperature Rise (θ_avg), 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) & Fraction of Heat Conducted into The Workpiece (Γ) we can find Rate of Heat Generated in Primary Shear Zone given Temperature Rise using the formula - Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of Work Piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into The Workpiece).

What are the other ways to Calculate Rate of Heat Generation in Primary Shear Zone?

Here are the different ways to Calculate Rate of Heat Generation in Primary Shear Zone-

Rate of Heat Generation in Primary Shear Zone=Rate of Energy Consumption During Machining-Rate of Heat Generation in Secondary Shear Zone

Can the Rate of Heat Generated in Primary Shear Zone given Temperature Rise be negative?

No, the Rate of Heat Generated in Primary Shear Zone given Temperature Rise, measured in Power cannot be negative.

Which unit is used to measure Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

Rate of Heat Generated in Primary Shear Zone given Temperature Rise is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Rate of Heat Generated in Primary Shear Zone given Temperature Rise can be measured.

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Rate of Heat Generated in Primary Shear Zone given Temperature Rise Formula

​GoRate of Heat Generation in Primary Deformation using Rate of Energy Consumption Formula

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Example

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Solution

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Formula Elements

Other Formulas to find Rate of Heat Generation in Primary Shear Zone

Other formulas in Heat Conduction Rate category

How to Evaluate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

FAQs on Rate of Heat Generated in Primary Shear Zone given Temperature Rise

Variable Name

GoRate of Heat Generation in Primary Deformation using Rate of Energy Consumption Formula