Specific Heat given Average Temperature Rise of Material under Primary Shear 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%
✖Average Temperature Rise is defined as the actual amount of increase in the temperature.ⓘ Average Temperature Rise [θ_avg]			+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%

✖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 given Average Temperature Rise of Material under Primary Shear Zone [C]

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Specific Heat given Average Temperature Rise of Material under Primary Shear Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
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
Average Temperature Rise: 274.9 Degree Celsius --> 274.9 Kelvin (Check conversion here)
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

C = ((1-Γ)*P_s)/(ρ_wp*θ_avg*V_cut*a_c*d_cut) --> ((1-0.1)*1380)/(7200*274.9*2*0.00025*0.0025)

Evaluating ... ...

C = 502.000727537286

STEP 3: Convert Result to Output's Unit

502.000727537286 Joule per Kilogram per K --> No Conversion Required

FINAL ANSWER

502.000727537286 ≈ 502.0007 Joule per Kilogram per K <-- Specific Heat Capacity of Workpiece

(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 » Specific Heat given Average Temperature Rise of Material under Primary Shear Zone

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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)

Specific Heat given Average Temperature Rise of Material under Primary Shear Zone Formula

LaTeX Go

What is Specific Heat Capacity?

Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature. The SI unit of heat capacity is joule per kelvin. Heat capacity is an extensive property.

How to Calculate Specific Heat given Average Temperature Rise of Material under Primary Shear Zone?

Specific Heat given Average Temperature Rise of Material under Primary Shear Zone calculator uses 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) to calculate the Specific Heat Capacity of Workpiece, Specific Heat given Average Temperature rise of material under Primary Shear Zone is defined as the amount of heat required to raise the temperature of 1 kilogram of a substance by 1 kelvin. Specific Heat Capacity of Workpiece is denoted by C symbol.

How to calculate Specific Heat given Average Temperature Rise of Material under Primary Shear Zone using this online calculator? To use this online calculator for Specific Heat given Average Temperature Rise of Material under Primary Shear 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), Average Temperature Rise (θ_avg), Cutting Speed (V_cut), Undeformed Chip Thickness (a_c) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Specific Heat given Average Temperature Rise of Material under Primary Shear Zone calculation can be explained with given input values -> 501.8037 = ((1-0.1)*1380)/(7200*274.9*2*0.00025*0.0025).

FAQ

What is Specific Heat given Average Temperature Rise of Material under Primary Shear Zone?

Specific Heat given Average Temperature rise of material under Primary Shear Zone is defined as the amount of heat required to raise the temperature of 1 kilogram of a substance by 1 kelvin and is represented as C = ((1-Γ)*P_s)/(ρ_wp*θ_avg*V_cut*a_c*d_cut) or 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). 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, Average Temperature Rise is defined as the actual amount of increase in the temperature, 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 Specific Heat given Average Temperature Rise of Material under Primary Shear Zone?

Specific Heat given Average Temperature rise of material under Primary Shear Zone is defined as the amount of heat required to raise the temperature of 1 kilogram of a substance by 1 kelvin is calculated using 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). To calculate Specific Heat given Average Temperature Rise of Material under Primary Shear 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), Average Temperature Rise (θ_avg), 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, Average Temperature Rise, 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.

How many ways are there to calculate Specific Heat Capacity of Workpiece?

In this formula, Specific Heat Capacity of Workpiece uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

Specific Heat Capacity of Workpiece = Rate of Heat Generation in Secondary Shear Zone/(Average Temp Rise of Chip in Secondary Shear Zone*Density of Work Piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

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