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Thermal Conductivity of Work from Tool Temperature Formula

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Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance. Check FAQs

k = {(\frac{C 0 \cdot U s \cdot V^{0.44} \cdot A^{0.22}}{θ \cdot c^{0.56}})}^{\frac{100}{44}}

k - Thermal Conductivity?C₀ - Tool Temperature Constant?U_s - Specific Cutting Energy?V - Cutting Velocity?A - Cutting Area?θ - Tool Temperature?c - Specific Heat Capacity?

Thermal Conductivity of Work from Tool Temperature Example

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Here is how the Thermal Conductivity of Work from Tool Temperature equation looks like with Values.

Here is how the Thermal Conductivity of Work from Tool Temperature equation looks like with Units.

Here is how the Thermal Conductivity of Work from Tool Temperature equation looks like.

610.8 = {(\frac{0.29 \cdot 200 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}{273 \cdot {4.184}^{0.56}})}^{\frac{100}{44}}

610.8W/(m*K) = {(\frac{0.29 \cdot 200kJ/kg \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}{273°C \cdot {4.184kJ/kg*K}^{0.56}})}^{\frac{100}{44}}

610.8 = {(\frac{0.29 \cdot 200 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}{273 \cdot {4.184}^{0.56}})}^{\frac{100}{44}}

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Thermal Conductivity of Work from Tool Temperature Solution

Follow our step by step solution on how to calculate Thermal Conductivity of Work from Tool Temperature?

FIRST Step Consider the formula

k = {(\frac{C 0 \cdot U s \cdot V^{0.44} \cdot A^{0.22}}{θ \cdot c^{0.56}})}^{\frac{100}{44}}

Next Step Substitute values of Variables

∴

k = {(\frac{0.29 \cdot 200kJ/kg \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}{273°C \cdot {4.184kJ/kg*K}^{0.56}})}^{\frac{100}{44}}

Next Step Convert Units

∴

k = {(\frac{0.29 \cdot 200000J/kg \cdot {120m/s}^{0.44} \cdot {26.4493m²}^{0.22}}{546.15K \cdot {4184J/(kg*K)}^{0.56}})}^{\frac{100}{44}}

Next Step Prepare to Evaluate

∴

k = {(\frac{0.29 \cdot 200000 \cdot 120^{0.44} \cdot {26.4493}^{0.22}}{546.15 \cdot 4184^{0.56}})}^{\frac{100}{44}}

Next Step Evaluate

∴

k = 610.800041670629W/(m*K)

LAST Step Rounding Answer

∴

k = 610.8W/(m*K)

Thermal Conductivity of Work from Tool Temperature Formula Elements

Variables

Thermal Conductivity

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Tool Temperature Constant

Tool Temperature Constant is a Constant for tool temperature determination.

Symbol: C₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Tool Temperature Constant

Specific Cutting Energy

Specific cutting energy, often denoted as "specific cutting energy per unit cutting force"is a measure of the amount of energy required to remove a unit volume of material during a cutting process.

Symbol: U_s

Measurement: Specific EnergyUnit: kJ/kg

Note: Value should be greater than 0.

Formulas to find Specific Cutting Energy

Cutting Velocity

Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Cutting Area

Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cutting Area

Tool Temperature

Tool Temperature is the temperature reached during cutting for tool.

Symbol: θ

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Tool Temperature

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Other formulas in Mechanics of Orthogonal Cutting category

Go Cutting Speed given Spindle Speed

V = π \cdot D \cdot N

Go Machining Time given Spindle Speed

t = \frac{L}{f \cdot N}

How to Evaluate Thermal Conductivity of Work from Tool Temperature?

Thermal Conductivity of Work from Tool Temperature evaluator uses Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44) to evaluate the Thermal Conductivity, The Thermal conductivity of work from tool temperature formula is defined as the ability to transmit energy by heat of a particular material using conduction mode of transfer. Thermal Conductivity is denoted by k symbol.

How to evaluate Thermal Conductivity of Work from Tool Temperature using this online evaluator? To use this online evaluator for Thermal Conductivity of Work from Tool Temperature, enter Tool Temperature Constant (C₀), Specific Cutting Energy (U_s), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Specific Heat Capacity (c) and hit the calculate button.

FAQs on Thermal Conductivity of Work from Tool Temperature

What is the formula to find Thermal Conductivity of Work from Tool Temperature?

The formula of Thermal Conductivity of Work from Tool Temperature is expressed as Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44). Here is an example- 10.18 = ((0.29*200000*2^0.44*26.4493^0.22)/(546.15*4184^0.56))^(100/44).

How to calculate Thermal Conductivity of Work from Tool Temperature?

With Tool Temperature Constant (C₀), Specific Cutting Energy (U_s), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Specific Heat Capacity (c) we can find Thermal Conductivity of Work from Tool Temperature using the formula - Thermal Conductivity = ((Tool Temperature Constant*Specific Cutting Energy*Cutting Velocity^0.44*Cutting Area^0.22)/(Tool Temperature*Specific Heat Capacity^0.56))^(100/44).

Can the Thermal Conductivity of Work from Tool Temperature be negative?

No, the Thermal Conductivity of Work from Tool Temperature, measured in Thermal Conductivity cannot be negative.

Which unit is used to measure Thermal Conductivity of Work from Tool Temperature?

Thermal Conductivity of Work from Tool Temperature is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Thermal Conductivity of Work from Tool Temperature can be measured.

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Thermal Conductivity of Work from Tool Temperature Formula

Thermal Conductivity of Work from Tool Temperature Example

Thermal Conductivity of Work from Tool Temperature Solution

Thermal Conductivity of Work from Tool Temperature Formula Elements

Other formulas in Mechanics of Orthogonal Cutting category

How to Evaluate Thermal Conductivity of Work from Tool Temperature?

FAQs on Thermal Conductivity of Work from Tool Temperature

Variable Name