Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance)
Hnet = ((Ty-ta)*(Tm-ta)*sqrt(2*pi*e)*ρ*Qc*t*y)/(Tm-Ty)
This formula uses 2 Constants, 1 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Net Heat Supplied Per Unit Length - (Measured in Joule per Meter) - Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.
Temperature Reached at Some Distance - (Measured in Kelvin) - Temperature Reached at Some Distance is the temperature reached at a distance of y from the fusion boundary.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding.
Melting Temperature of Base Metal - (Measured in Kelvin) - Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.
Density of Electrode - (Measured in Kilogram per Cubic Meter) - The Density of Electrode in welding refers to the mass per unit volume of the electrode material, it is the filling material of the weld.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Thickness of Filler Metal - (Measured in Meter) - Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.
Distance from the Fusion Boundary - (Measured in Meter) - Distance from the Fusion Boundary refers to the measurement of space between a specific point and the location where two materials have been joined together through the process of fusion.
STEP 1: Convert Input(s) to Base Unit
Temperature Reached at Some Distance: 144.4892 Celsius --> 417.6392 Kelvin (Check conversion ​here)
Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion ​here)
Melting Temperature of Base Metal: 1500 Celsius --> 1773.15 Kelvin (Check conversion ​here)
Density of Electrode: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion ​here)
Thickness of Filler Metal: 5 Millimeter --> 0.005 Meter (Check conversion ​here)
Distance from the Fusion Boundary: 99.99996 Millimeter --> 0.09999996 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hnet = ((Ty-ta)*(Tm-ta)*sqrt(2*pi*e)*ρ*Qc*t*y)/(Tm-Ty) --> ((417.6392-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005*0.09999996)/(1773.15-417.6392)
Evaluating ... ...
Hnet = 1000000.03338281
STEP 3: Convert Result to Output's Unit
1000000.03338281 Joule per Meter -->1000.00003338281 Joule per Millimeter (Check conversion ​here)
FINAL ANSWER
1000.00003338281 1000 Joule per Millimeter <-- Net Heat Supplied Per Unit Length
(Calculation completed in 00.020 seconds)

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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material
​ LaTeX ​ Go Peak Temperature Reached at Some Distance = Ambient Temperature+(Net Heat Supplied Per Unit Length*(Melting Temperature of Base Metal-Ambient Temperature))/((Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Metal*Thickness of Filler Metal*Specific Heat Capacity*Distance from the Fusion Boundary+Net Heat Supplied Per Unit Length)
Position of Peak Temperature from Fusion Boundary
​ LaTeX ​ Go Distance from the Fusion Boundary = ((Melting Temperature of Base Metal-Temperature Reached at Some Distance)*Net Heat Supplied Per Unit Length)/((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal)
Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary
​ LaTeX ​ Go Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance)
Cooling Rate for Relatively Thick Plates
​ LaTeX ​ Go Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length

Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary Formula

​LaTeX ​Go
Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance)
Hnet = ((Ty-ta)*(Tm-ta)*sqrt(2*pi*e)*ρ*Qc*t*y)/(Tm-Ty)

Why peak temperature reached in Heat Affected Zone is important to calculate ?

The peak temperature reached at any point in the material is another important parameter that needs to be calculated. This would help in identifying what type of metallurgical transformations are likely to takes place in the heat affected zone (HAZ).

How to Calculate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary?

Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary calculator uses Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance) to calculate the Net Heat Supplied Per Unit Length, The Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary formula is defined as the heat required to raise the temperature of particular point of heat affected zone. Net Heat Supplied Per Unit Length is denoted by Hnet symbol.

How to calculate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary using this online calculator? To use this online calculator for Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary, enter Temperature Reached at Some Distance (Ty), Ambient Temperature (ta), Melting Temperature of Base Metal (Tm), Density of Electrode (ρ), Specific Heat Capacity (Qc), Thickness of Filler Metal (t) & Distance from the Fusion Boundary (y) and hit the calculate button. Here is how the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary calculation can be explained with given input values -> 1 = ((417.6392-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005*0.09999996)/(1773.15-417.6392).

FAQ

What is Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary?
The Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary formula is defined as the heat required to raise the temperature of particular point of heat affected zone and is represented as Hnet = ((Ty-ta)*(Tm-ta)*sqrt(2*pi*e)*ρ*Qc*t*y)/(Tm-Ty) or Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance). Temperature Reached at Some Distance is the temperature reached at a distance of y from the fusion boundary, Ambient Temperature Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding, Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid, The Density of Electrode in welding refers to the mass per unit volume of the electrode material, it is the filling material of the weld, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set & Distance from the Fusion Boundary refers to the measurement of space between a specific point and the location where two materials have been joined together through the process of fusion.
How to calculate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary?
The Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary formula is defined as the heat required to raise the temperature of particular point of heat affected zone is calculated using Net Heat Supplied Per Unit Length = ((Temperature Reached at Some Distance-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density of Electrode*Specific Heat Capacity*Thickness of Filler Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at Some Distance). To calculate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary, you need Temperature Reached at Some Distance (Ty), Ambient Temperature (ta), Melting Temperature of Base Metal (Tm), Density of Electrode (ρ), Specific Heat Capacity (Qc), Thickness of Filler Metal (t) & Distance from the Fusion Boundary (y). With our tool, you need to enter the respective value for Temperature Reached at Some Distance, Ambient Temperature, Melting Temperature of Base Metal, Density of Electrode, Specific Heat Capacity, Thickness of Filler Metal & Distance from the Fusion Boundary 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 Net Heat Supplied Per Unit Length?
In this formula, Net Heat Supplied Per Unit Length uses Temperature Reached at Some Distance, Ambient Temperature, Melting Temperature of Base Metal, Density of Electrode, Specific Heat Capacity, Thickness of Filler Metal & Distance from the Fusion Boundary. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate
  • Net Heat Supplied Per Unit Length = Thickness of Filler Metal/sqrt(Cooling Rate of Thin Plate/(2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Temperature for Cooling Rate-Ambient Temperature)^3)))
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