Thermal Conductivity of Work from Tool Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
k = ((C0*Us*V^0.44*A^0.22)/(θ*c^0.56))^(100/44)
This formula uses 7 Variables
Variables Used
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Tool Temperature Constant - Tool Temperature Constant is a Constant for tool temperature determination.
Specific Cutting Energy - (Measured in Joule per Kilogram) - 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.
Cutting Velocity - (Measured in Meter per Second) - 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.
Cutting Area - (Measured in Square Meter) - Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining.
Tool Temperature - (Measured in Kelvin) - Tool Temperature is the temperature reached during cutting for tool.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
STEP 1: Convert Input(s) to Base Unit
Tool Temperature Constant: 0.29 --> No Conversion Required
Specific Cutting Energy: 200 Kilojoule per Kilogram --> 200000 Joule per Kilogram (Check conversion ​here)
Cutting Velocity: 120 Meter per Second --> 120 Meter per Second No Conversion Required
Cutting Area: 26.4493 Square Meter --> 26.4493 Square Meter No Conversion Required
Tool Temperature: 273 Celsius --> 546.15 Kelvin (Check conversion ​here)
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = ((C0*Us*V^0.44*A^0.22)/(θ*c^0.56))^(100/44) --> ((0.29*200000*120^0.44*26.4493^0.22)/(546.15*4184^0.56))^(100/44)
Evaluating ... ...
k = 610.800041670629
STEP 3: Convert Result to Output's Unit
610.800041670629 Watt per Meter per K --> No Conversion Required
FINAL ANSWER
610.800041670629 610.8 Watt per Meter per K <-- Thermal Conductivity
(Calculation completed in 00.009 seconds)

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Mechanics of Orthogonal Cutting Calculators

Machining Time given Cutting Speed
​ LaTeX ​ Go Machining Time = (pi*Workpiece Diameter*Length of Bar)/(Feed Rate*Cutting Velocity)
Machining Time given Spindle Speed
​ LaTeX ​ Go Machining Time = Length of Bar/(Feed Rate*Spindle Speed)
Cutting Speed given Spindle Speed
​ LaTeX ​ Go Cutting Velocity = pi*Workpiece Diameter*Spindle Speed
Surface Finish Constraint
​ LaTeX ​ Go Feed Constraint = 0.0321/Nose Radius

Thermal Conductivity of Work from Tool Temperature Formula

​LaTeX ​Go
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)
k = ((C0*Us*V^0.44*A^0.22)/(θ*c^0.56))^(100/44)

What is tool life?

Tool life represents the useful life of the tool, generally expressed in time units from the start of a cut to an end point defined by a failure criterion. A tool that no longer performs the desired function is said to have failed and hence reached the end of its useful life. At such an end point the tool is not necessarily unable to cut the work piece but is merely unsatisfactory for the purpose . The tool may be re-sharpened and used again.

How to Calculate Thermal Conductivity of Work from Tool Temperature?

Thermal Conductivity of Work from Tool Temperature calculator 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 calculate 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 calculate Thermal Conductivity of Work from Tool Temperature using this online calculator? To use this online calculator for Thermal Conductivity of Work from Tool Temperature, enter Tool Temperature Constant (C0), Specific Cutting Energy (Us), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Specific Heat Capacity (c) and hit the calculate button. Here is how the Thermal Conductivity of Work from Tool Temperature calculation can be explained with given input values -> 10.18 = ((0.29*200000*2^0.44*26.4493^0.22)/(546.15*4184^0.56))^(100/44).

FAQ

What is Thermal Conductivity of Work from Tool Temperature?
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 and is represented as k = ((C0*Us*V^0.44*A^0.22)/(θ*c^0.56))^(100/44) or 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). Tool Temperature Constant is a Constant for tool temperature determination, 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, 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, Cutting area is a key parameter that represents the cross-sectional area of the material being removed by the cutting tool during machining, Tool Temperature is the temperature reached during cutting for tool & Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
How to calculate Thermal Conductivity of Work from Tool Temperature?
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 is calculated using 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 calculate Thermal Conductivity of Work from Tool Temperature, you need Tool Temperature Constant (C0), Specific Cutting Energy (Us), Cutting Velocity (V), Cutting Area (A), Tool Temperature (θ) & Specific Heat Capacity (c). With our tool, you need to enter the respective value for Tool Temperature Constant, Specific Cutting Energy, Cutting Velocity, Cutting Area, Tool Temperature & Specific Heat Capacity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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