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

STEP 0: Pre-Calculation Summary
Formula Used
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
R = l0*(θmax/(θf*1.13))^2
This formula uses 4 Variables
Variables Used
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.
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.
Max Temp in Chip in Secondary Deformation Zone - (Measured in Celsius) - Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach.
Average Temp Rise of Chip in Secondary Shear Zone - (Measured in Kelvin) - The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
STEP 1: Convert Input(s) to Base Unit
Length of Heat Source Per Chip Thickness: 0.927341 --> No Conversion Required
Max Temp in Chip in Secondary Deformation Zone: 669 Celsius --> 669 Celsius No Conversion Required
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = l0*(θmax/(θf*1.13))^2 --> 0.927341*(669/(88.5*1.13))^2
Evaluating ... ...
R = 41.5000164247075
STEP 3: Convert Result to Output's Unit
41.5000164247075 --> No Conversion Required
FINAL ANSWER
41.5000164247075 41.50002 <-- Thermal Number
(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Srinagar
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Temperature Rise Calculators

Density of Material using Average Temperature Rise of material under Primary Shear Zone
​ Go Density of Work Piece = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Average Temperature Rise*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Specific Heat given Average Temperature Rise of Material under Primary Shear Zone
​ Go Specific Heat Capacity of Workpiece = ((1-Fraction of Heat Conducted into The Workpiece)*Rate of Heat Generation in Primary Shear Zone)/(Density of Work Piece*Average Temperature Rise*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)
Cutting Speed given Average Temperature Rise of Material under Primary Shear Zone
​ Go Cutting Speed = ((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*Average Temperature Rise*Undeformed Chip Thickness*Depth of Cut)
Average Temperature Rise of Material under Primary Deformation Zone
​ Go 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)

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone 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
R = l0*(θmax/(θf*1.13))^2

Temperature rise of the material in primary deformation zone

The temperature rise of the material in the primary deformation zone formula is defined as the amount of rising in temperature when the material passes through the primary deformation zone.

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

Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone calculator 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 calculate 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 calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone using this online calculator? To use this online calculator 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. Here is how the Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone calculation can be explained with given input values -> 41.50002 = 0.927341*(942.15/(88.5*1.13))^2.

FAQ

What is Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?
The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting and is represented as R = l0*(θmax/(θf*1.13))^2 or 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. Length of Heat Source Per Chip Thickness is defined as the ratio of heat source divided by the chip thickness, Max temp in chip in secondary deformation zone is defined as the maximum amount of heat up to which chip can reach & The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone.
How to calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone?
The Thermal Number using maximum Temperature rise in Chip in Secondary Deformation zone formula is the thermal number of the metal cutting is calculated using 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 calculate Thermal Number using Maximum Temperature Rise in Chip in Secondary Deformation Zone, you need 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). With our tool, you need to enter the respective value for Length of Heat Source Per Chip Thickness, Max Temp in Chip in Secondary Deformation Zone & Average Temp Rise of Chip in Secondary Shear Zone 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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