Average Temperature Rise of Material under Primary Deformation Zone Calculator

✖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.ⓘ Fraction of Heat Conducted into The Workpiece [Γ]			+10% -10%
✖The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.ⓘ Rate of Heat Generation in Primary Shear Zone [P_s]			+10% -10%
✖Density of Work Piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Piece [ρ_wp]			+10% -10%
✖The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat Capacity of Workpiece [C]			+10% -10%
✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed [V_cut]			+10% -10%
✖Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.ⓘ Undeformed Chip Thickness [a_c]			+10% -10%
✖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.ⓘ Depth of Cut [d_cut]			+10% -10%

✖Average Temperature Rise is defined as the actual amount of increase in the temperature.ⓘ Average Temperature Rise of Material under Primary Deformation Zone [θ_avg]

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Average Temperature Rise of Material under Primary Deformation Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
θ_avg = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*a_c*d_cut)
This formula uses 8 Variables

Variables Used

Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
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.
Rate of Heat Generation in Primary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining.
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
Specific Heat Capacity of Workpiece - (Measured in Joule per Kilogram per K) - The Specific Heat Capacity of Workpiece is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Cutting Speed - (Measured in Meter per Second) - Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Undeformed Chip Thickness - (Measured in Meter) - Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces.
Depth of Cut - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Fraction of Heat Conducted into The Workpiece: 0.1 --> No Conversion Required
Rate of Heat Generation in Primary Shear Zone: 1380 Watt --> 1380 Watt No Conversion Required
Density of Work Piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity of Workpiece: 502 Joule per Kilogram per K --> 502 Joule per Kilogram per K No Conversion Required
Cutting Speed: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Undeformed Chip Thickness: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Depth of Cut: 2.5 Millimeter --> 0.0025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_avg = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*a_c*d_cut) --> ((1-0.1)*1380)/(7200*502*2*0.00025*0.0025)

Evaluating ... ...

θ_avg = 274.900398406375

STEP 3: Convert Result to Output's Unit

274.900398406375 Kelvin -->274.900398406375 Degree Celsius (Check conversion here)

FINAL ANSWER

274.900398406375 ≈ 274.9004 Degree Celsius <-- Average Temperature Rise

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Temperatures in Metal Cutting » Temperature Rise » Average Temperature Rise of Material under Primary Deformation Zone

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< Temperature Rise Calculators

Density of Material using Average Temperature Rise of material under Primary Shear Zone

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Average Temperature Rise of Material under Primary Deformation Zone Formula

LaTeX Go

Which metals heat up the fastest?

The aluminum conducted heat the fastest at an average of 14 seconds. The bronze was the second-fastest at 16 seconds. The silver nickel averaged 19 seconds to conduct heat and appeared to be the strongest metal used in the experiment, as it did not melt or bend.

How to Calculate Average Temperature Rise of Material under Primary Deformation Zone?

Average Temperature Rise of Material under Primary Deformation Zone calculator uses 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) to calculate the Average Temperature Rise, The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone. Average Temperature Rise is denoted by θ_avg symbol.

How to calculate Average Temperature Rise of Material under Primary Deformation Zone using this online calculator? To use this online calculator for Average Temperature Rise of Material under Primary Deformation Zone, enter Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), 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) and hit the calculate button. Here is how the Average Temperature Rise of Material under Primary Deformation Zone calculation can be explained with given input values -> 274.7925 = ((1-0.1)*1380)/(7200*502*2*0.00025*0.0025).

FAQ

What is Average Temperature Rise of Material under Primary Deformation Zone?

The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone and is represented as θ_avg = ((1-Γ)*P_s)/(ρ_wp*C*V_cut*a_c*d_cut) or 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). 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, The Rate of Heat Generation in Primary Shear Zone is the heat transfer rate in the narrow zone surrounding the shear plane in machining, Density of Work Piece is the mass per unit volume ratio of the material 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, Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute), Undeformed Chip Thickness in milling is defined as the distance between two consecutive cut surfaces & 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.

How to calculate Average Temperature Rise of Material under Primary Deformation Zone?

The Average Temperature rise of material under Primary Deformation Zone is defined as the actual amount of rising in temperature when it is under the primary deformation zone is calculated using 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). To calculate Average Temperature Rise of Material under Primary Deformation Zone, you need Fraction of Heat Conducted into The Workpiece (Γ), Rate of Heat Generation in Primary Shear Zone (P_s), 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). With our tool, you need to enter the respective value for 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 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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