Rate of Heat Generated in Primary Shear Zone given Temperature Rise Calculator

✖Average Temperature Rise is defined as the actual amount of increase in the temperature.ⓘ Average Temperature Rise [θ_{avg rise}]			+10% -10%
✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of work piece [ρ_{work piece}]			+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_cutting]			+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%
✖Fraction of Heat Conducted into the workpiece, a portion of Ps 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 Generated in Primary Shear Zone given Temperature Rise [P_s]

⎘ Copy

👎

Formula

✖

Rate of Heat Generated in Primary Shear Zone given Temperature Rise

Formula

`"P"_{"s"} = ("θ"_{"avg rise"}*"ρ"_{"work piece"}*"C"*"V"_{"cutting"}*"a"_{"c"}*"d"_{"cut"})/(1-"Γ")`

Example

`"1379.998W"=("274.9°C"*"7200kg/m³"*"502J/(kg*K)"*"2m/s"*"0.25mm"*"2.5mm")/(1-"0.1")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece)
P_s = (θ_{avg rise}*ρ_{work piece}*C*V_cutting*a_c*d_cut)/(1-Γ)
This formula uses 8 Variables

Variables Used

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.
Average Temperature Rise - (Measured in Kelvin) - Average Temperature Rise is defined as the actual amount of increase in the temperature.
Density of work piece - (Measured in Kilogram per Cubic Meter) - The 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.
Fraction of Heat Conducted into the workpiece - Fraction of Heat Conducted into the workpiece, a portion of Ps which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.

STEP 1: Convert Input(s) to Base Unit

Average Temperature Rise: 274.9 Degree Celsius --> 274.9 Kelvin (Check conversion here)
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)
Fraction of Heat Conducted into the workpiece: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_s = (θ_{avg rise}*ρ_{work piece}*C*V_cutting*a_c*d_cut)/(1-Γ) --> (274.9*7200*502*2*0.00025*0.0025)/(1-0.1)

Evaluating ... ...

P_s = 1379.998

STEP 3: Convert Result to Output's Unit

1379.998 Watt --> No Conversion Required

FINAL ANSWER

1379.998 Watt <-- Rate of Heat Generation in Primary Shear Zone

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Temperatures in Metal Cutting » Heat Conduction Rate » Rate of Heat Generated in Primary Shear Zone given Temperature Rise

Credits

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 9 Heat Conduction Rate Calculators

Rate of Heat Generated in Primary Shear Zone given Temperature Rise

Go Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece)

Rate of Heat generated in Secondary Shear Zone given Average Temperature

Go Rate of Heat Gen in Secondary Shear Zone = (Average Temp Rise of Chip in Secondary Shear Zone*Specific Heat Capacity of Workpiece*Density of work piece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)

Rate of Heat Conduction into Workpiece given Total Rate of Heat Generation

Go Rate of Heat Conduction into the Workpiece = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation by Chip-Rate of Heat Conduction into the Tool

Rate of Heat Transportation by Chip given Total Rate of Heat Generation

Go Rate of Heat Transportation by Chip = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Conduction into the Workpiece-Rate of Heat Conduction into the Tool

Rate of Heat Conduction into Tool given Total Rate of Heat Generation

Go Rate of Heat Conduction into the Tool = Total Rate of Heat Generation in Metal Cutting-Rate of Heat Transportation by Chip-Rate of Heat Conduction into the Workpiece

Total Rate of Heat Generation

Go Total Rate of Heat Generation in Metal Cutting = Rate of Heat Transportation by Chip+Rate of Heat Conduction into the Workpiece+Rate of Heat Conduction into the Tool

Rate of Heat Generation in Primary Deformation using Rate of Energy Consumption

Go Rate of Heat Generation in Primary Shear Zone = Rate of Energy Consumption during Machining-Rate of Heat Gen in Secondary Shear Zone

Rate of Energy Consumption using Rate of Heat Generation during Machining

Go Rate of Energy Consumption during Machining = Rate of Heat Generation in Primary Shear Zone+Rate of Heat Gen in Secondary Shear Zone

Rate of Heat Generation in Secondary Deformation Zone

Go Rate of Heat Gen in Secondary Shear Zone = Rate of Energy Consumption during Machining-Rate of Heat Generation in Primary Shear Zone

Rate of Heat Generated in Primary Shear Zone given Temperature Rise Formula

Similarities between Primary Shear Zone and Secondary Deformation Zone

Both the zones are imaginary and are assumed to exist for various analyses related to machining.
Both the zones form simultaneously during every conventional machining process. However, their locations are different.
Both the zones contribute to heat generation and cutting temperature; however, the rate and extent of heat generation in two different zones vary substantially.

How to Calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

Rate of Heat Generated in Primary Shear Zone given Temperature Rise calculator uses Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece) to calculate the Rate of Heat Generation in Primary Shear Zone, The Rate of Heat Generated in Primary Shear Zone given temperature rise is the amount of heat generated in the narrow zone surrounding the shear plane in machining. Rate of Heat Generation in Primary Shear Zone is denoted by P_s symbol.

How to calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise using this online calculator? To use this online calculator for Rate of Heat Generated in Primary Shear Zone given Temperature Rise, enter Average Temperature Rise (θ_{avg rise}), Density of work piece (ρ_{work piece}), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cutting), Undeformed Chip Thickness (a_c), Depth of Cut (d_cut) & Fraction of Heat Conducted into the workpiece (Γ) and hit the calculate button. Here is how the Rate of Heat Generated in Primary Shear Zone given Temperature Rise calculation can be explained with given input values -> 1379.998 = (274.9*7200*502*2*0.00025*0.0025)/(1-0.1).

FAQ

What is Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

The Rate of Heat Generated in Primary Shear Zone given temperature rise is the amount of heat generated in the narrow zone surrounding the shear plane in machining and is represented as P_s = (θ_{avg rise}*ρ_{work piece}*C*V_cutting*a_c*d_cut)/(1-Γ) or Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece). Average Temperature Rise is defined as the actual amount of increase in the temperature, The 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 & Fraction of Heat Conducted into the workpiece, a portion of Ps which is conducted to the workpiece, so, this portion will not cause a temperature increase in the chip.

How to calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise?

The Rate of Heat Generated in Primary Shear Zone given temperature rise is the amount of heat generated in the narrow zone surrounding the shear plane in machining is calculated using Rate of Heat Generation in Primary Shear Zone = (Average Temperature Rise*Density of work piece*Specific Heat Capacity of Workpiece*Cutting Speed*Undeformed Chip Thickness*Depth of Cut)/(1-Fraction of Heat Conducted into the workpiece). To calculate Rate of Heat Generated in Primary Shear Zone given Temperature Rise, you need Average Temperature Rise (θ_{avg rise}), Density of work piece (ρ_{work piece}), Specific Heat Capacity of Workpiece (C), Cutting Speed (V_cutting), Undeformed Chip Thickness (a_c), Depth of Cut (d_cut) & Fraction of Heat Conducted into the workpiece (Γ). With our tool, you need to enter the respective value for Average Temperature Rise, Density of work piece, Specific Heat Capacity of Workpiece, Cutting Speed, Undeformed Chip Thickness, Depth of Cut & Fraction of Heat Conducted into the workpiece 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 Rate of Heat Generation in Primary Shear Zone?

In this formula, Rate of Heat Generation in Primary Shear Zone uses Average Temperature Rise, Density of work piece, Specific Heat Capacity of Workpiece, Cutting Speed, Undeformed Chip Thickness, Depth of Cut & Fraction of Heat Conducted into the workpiece. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rate of Heat Generation in Primary Shear Zone = Rate of Energy Consumption during Machining-Rate of Heat Gen in Secondary Shear Zone

Home

FREE PDFs

🔍 Search