Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Formula

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Thermal number refers to a specific dimensionless number used to analyze and predict the temperature distribution and heat generation during the cutting process. Check FAQs
R=l0(θmaxθf1.13)2
R - Thermal Number?l0 - Length of Heat Source Per Chip Thickness?θmax - Max Temp in Chip in Secondary Deformation Zone?θf - Average Temp Rise of Chip in Secondary Shear Zone?

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Example

With values
With units
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Here is how the Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone equation looks like with Values.

Here is how the Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone equation looks like with Units.

Here is how the Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone equation looks like.

41.5Edit=0.9273Edit(669Edit88.5Edit1.13)2
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Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Solution

Follow our step by step solution on how to calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?

FIRST Step Consider the formula
R=l0(θmaxθf1.13)2
Next Step Substitute values of Variables
R=0.9273(669°C88.5°C1.13)2
Next Step Convert Units
R=0.9273(669°C88.5K1.13)2
Next Step Prepare to Evaluate
R=0.9273(66988.51.13)2
Next Step Evaluate
R=41.5000164247075
LAST Step Rounding Answer
R=41.5

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone Formula Elements

Variables
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.
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.
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: θmax
Measurement: TemperatureUnit: °C
Note: Value should be greater than 0.
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: θf
Measurement: Temperature DifferenceUnit: °C
Note: Value should be greater than 0.

Other formulas in Temperature Rise category

​Go Average Temperature Rise of Material under Primary Deformation Zone
θavg=(1-Γ)PsρwpCVcutacdcut
​Go Density of Material using Average Temperature Rise of material under Primary Shear Zone
ρwp=(1-Γ)PsθavgCVcutacdcut
​Go Specific Heat given Average Temperature Rise of Material under Primary Shear Zone
C=(1-Γ)PsρwpθavgVcutacdcut
​Go Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone
Vcut=(1-Γ)PsρwpCθavgacdcut

How to Evaluate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone evaluator uses Thermal Number = Length of Heat Source Per Chip Thickness*(Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2 to evaluate the Thermal Number, The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting. Thermal Number is denoted by R symbol.

How to evaluate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone using this online evaluator? To use this online evaluator for Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone, enter Length of Heat Source Per Chip Thickness (l0), Max Temp in Chip in Secondary Deformation Zone max) & Average Temp Rise of Chip in Secondary Shear Zone f) and hit the calculate button.

FAQs on Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone

What is the formula to find Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?
The formula of Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone is expressed as Thermal Number = Length of Heat Source Per Chip Thickness*(Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2. Here is an example- 41.50002 = 0.927341*(942.15/(88.5*1.13))^2.
How to calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?
With Length of Heat Source Per Chip Thickness (l0), Max Temp in Chip in Secondary Deformation Zone max) & Average Temp Rise of Chip in Secondary Shear Zone f) we can find Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone using the formula - Thermal Number = Length of Heat Source Per Chip Thickness*(Max Temp in Chip in Secondary Deformation Zone/(Average Temp Rise of Chip in Secondary Shear Zone*1.13))^2.
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