Specific Heat using Average Temperature Rise of Chip from Secondary Deformation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
C = Pf/(θf*ρwp*Vcut*ac*dcut)
This formula uses 7 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.
Rate of Heat Generation in Secondary Shear Zone - (Measured in Watt) - The Rate of Heat Generation in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip tool contact region.
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.
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.
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
Rate of Heat Generation in Secondary Shear Zone: 400 Watt --> 400 Watt No Conversion Required
Average Temp Rise of Chip in Secondary Shear Zone: 88.5 Degree Celsius --> 88.5 Kelvin (Check conversion ​here)
Density of Work Piece: 7200 Kilogram per Cubic Meter --> 7200 Kilogram per Cubic Meter 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
C = Pf/(θfwp*Vcut*ac*dcut) --> 400/(88.5*7200*2*0.00025*0.0025)
Evaluating ... ...
C = 502.197112366604
STEP 3: Convert Result to Output's Unit
502.197112366604 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
502.197112366604 502.1971 Joule per Kilogram per K <-- Specific Heat Capacity of Workpiece
(Calculation completed in 00.020 seconds)

Credits

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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 using Average Temperature Rise of Chip from Secondary Deformation Formula

​LaTeX ​Go
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)
C = Pf/(θf*ρwp*Vcut*ac*dcut)

What is 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 using Average Temperature Rise of Chip from Secondary Deformation?

Specific Heat using Average Temperature Rise of Chip from Secondary Deformation calculator uses 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) to calculate the Specific Heat Capacity of Workpiece, The Specific Heat using Average Temperature rise of chip from Secondary Deformation 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 using Average Temperature Rise of Chip from Secondary Deformation using this online calculator? To use this online calculator for Specific Heat using Average Temperature Rise of Chip from Secondary Deformation, enter Rate of Heat Generation in Secondary Shear Zone (Pf), Average Temp Rise of Chip in Secondary Shear Zone f), Density of Work Piece wp), Cutting Speed (Vcut), Undeformed Chip Thickness (ac) & Depth of Cut (dcut) and hit the calculate button. Here is how the Specific Heat using Average Temperature Rise of Chip from Secondary Deformation calculation can be explained with given input values -> 502 = 400/(88.5*7200*2*0.00025*0.0025).

FAQ

What is Specific Heat using Average Temperature Rise of Chip from Secondary Deformation?
The Specific Heat using Average Temperature rise of chip from Secondary Deformation 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 = Pf/(θfwp*Vcut*ac*dcut) or 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). The Rate of Heat Generation in Secondary Shear Zone is the rate of heat generation in the area surrounding the chip tool contact region, The Average Temp Rise of Chip in Secondary Shear Zone is defined as the amount of temperature rise in the secondary shear zone, Density of Work Piece is the mass per unit volume ratio of the material of workpiece, 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 using Average Temperature Rise of Chip from Secondary Deformation?
The Specific Heat using Average Temperature rise of chip from Secondary Deformation 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 = 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). To calculate Specific Heat using Average Temperature Rise of Chip from Secondary Deformation, you need Rate of Heat Generation in Secondary Shear Zone (Pf), Average Temp Rise of Chip in Secondary Shear Zone f), Density of Work Piece wp), Cutting Speed (Vcut), Undeformed Chip Thickness (ac) & Depth of Cut (dcut). With our tool, you need to enter the respective value for 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 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 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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