Net heat supplied to weld area to raise it to given temperature from fusion boundary Calculator

✖Temperature reached at a distance of y is the temperature reached at a distance of y from the fusion boundary.ⓘ Temperature Reached at a Distance of y [T_y]			+10% -10%
✖Ambient Temperature is the temperature of the surrounding.ⓘ Ambient Temperature [t_a]			+10% -10%
✖Melting Temperature of Base Metal is the temperature at which its phase changes to liquid to solid.ⓘ Melting Temperature of Base Metal [T_m]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [Q_c]			+10% -10%
✖Thickness of the metal is the thickness of the base metal and is denoted by h symbol.ⓘ Thickness of the Metal [t]			+10% -10%
✖Distance from the Fusion Boundary is measured from the fusion boundary during welding.ⓘ Distance from the Fusion Boundary [y]			+10% -10%

✖Net heat supplied per unit length can also be converted to newton since energy is newton multiplied meter.ⓘ Net heat supplied to weld area to raise it to given temperature from fusion boundary [H_Net]

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Formula

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Net heat supplied to weld area to raise it to given temperature from fusion boundary

Formula

`"H"_{"Net"} = (("T"_{"y"}-"t"_{"a"})*("T"_{"m"}-"t"_{"a"})*sqrt(2*pi*e)*"ρ"*"Q"_{"c"}*"t"*"y")/("T"_{"m"}-"T"_{"y"})`

Example

`"992.0807J/mm"=(("143.7°C"-"37°C")*("1500°C"-"37°C")*sqrt(2*pi*e)*"997kg/m³"*"4.184kJ/kg*K"*"5mm"*"100mm")/("1500°C"-"143.7°C")`

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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 a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y)
H_Net = ((T_y-t_a)*(T_m-t_a)*sqrt(2*pi*e)*ρ*Q_c*t*y)/(T_m-T_y)
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 can also be converted to newton since energy is newton multiplied meter.
Temperature Reached at a Distance of y - (Measured in Kelvin) - Temperature reached at a distance of y is the temperature reached at a distance of y from the fusion boundary.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature 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 to liquid to solid.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object.
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 the Metal - (Measured in Meter) - Thickness of the metal is the thickness of the base metal and is denoted by h symbol.
Distance from the Fusion Boundary - (Measured in Meter) - Distance from the Fusion Boundary is measured from the fusion boundary during welding.

STEP 1: Convert Input(s) to Base Unit

Temperature Reached at a Distance of y: 143.7 Celsius --> 416.85 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: 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 the Metal: 5 Millimeter --> 0.005 Meter (Check conversion here)
Distance from the Fusion Boundary: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_Net = ((T_y-t_a)*(T_m-t_a)*sqrt(2*pi*e)*ρ*Q_c*t*y)/(T_m-T_y) --> ((416.85-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005*0.1)/(1773.15-416.85)

Evaluating ... ...

H_Net = 992080.692027329

STEP 3: Convert Result to Output's Unit

992080.692027329 Joule per Meter -->992.080692027329 Joule per Millimeter (Check conversion here)

FINAL ANSWER

992.080692027329 ≈ 992.0807 Joule per Millimeter <-- Net Heat Supplied per Unit Length

(Calculation completed in 00.014 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 13 Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material

Go Peak Temperature Reached at a Distance of y = 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 the Metal*Specific Heat Capacity*Distance from the Fusion Boundary+Net Heat Supplied per Unit Length)

Position of peak temperature from fusion boundary

Go Distance from the Fusion Boundary = ((Melting Temperature of Base Metal-Temperature Reached at a Distance of y)*Net Heat Supplied per Unit Length)/((Temperature Reached at a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal)

Net heat supplied to weld area to raise it to given temperature from fusion boundary

Go Net Heat Supplied per Unit Length = ((Temperature Reached at a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y)

Net heat supplied to achieve given cooling rates for thin plates

Go Net Heat Supplied per Unit Length = Thickness of the Metal/sqrt(Cooling Rate of Thinplate/(2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)))

Thickness of base metal for desired cooling rate

Go Thickness = Net Heat Supplied per Unit Length*sqrt(Cooling Rate/(2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)))

Thermal conductivity of base metal using given cooling rate (thin plates)

Go Thermal Conductivity = Cooling Rate of Thinplate/(2*pi*Density*Specific Heat Capacity*((Thickness of the Metal/Net Heat Supplied per Unit Length)^2)*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3))

Cooling rate for relatively thin plates

Go Cooling Rate of Thinplate = 2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Thickness of the Metal/Net Heat Supplied per Unit Length)^2)*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)

Relative plate thickness factor

Go Relative Plate Thickness Factor = Thickness of the Metal*sqrt(((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied per Unit Length)

Thickness of Base Metal using Relative Thickness Factor

Go Thickness of the Base Metal = Relative Plate Thickness Factor*sqrt(Net Heat Supplied per Unit Length/((Temperature to Calculate Cooling Rate-Ambient Temperature)*Density*Specific Heat Capacity))

Net Heat supplied using Relative Thickness Factor

Go Net Heat Supplied = ((Thickness of the Metal/Relative Plate Thickness Factor)^2)*Density*Specific Heat Capacity*(Temperature to Calculate Cooling Rate-Ambient Temperature)

Thermal conductivity of base metal using given cooling rate (thick plates)

Go Thermal Conductivity = (Cooling Rate*Net Heat Supplied per Unit Length)/(2*pi*((Temperature to Calculate Cooling Rate-Ambient Temperature)^2))

Net heat supplied to achieve given cooling rates for thick plates

Go Net Heat Supplied per Unit Length = (2*pi*Thermal Conductivity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^2))/Cooling Rate

Cooling Rate for Relatively Thick Plates

Go Cooling Rate = (2*pi*Thermal Conductivity*((Temperature to Calculate 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

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 a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y) 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 H_Net 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 a Distance of y (T_y), Ambient Temperature (t_a), Melting Temperature of Base Metal (T_m), Density (ρ), Specific Heat Capacity (Q_c), Thickness of the 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 -> 0.992081 = ((416.85-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005*0.1)/(1773.15-416.85).

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 H_Net = ((T_y-t_a)*(T_m-t_a)*sqrt(2*pi*e)*ρ*Q_c*t*y)/(T_m-T_y) or Net Heat Supplied per Unit Length = ((Temperature Reached at a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y). Temperature reached at a distance of y is the temperature reached at a distance of y from the fusion boundary, Ambient Temperature is the temperature of the surrounding, Melting Temperature of Base Metal is the temperature at which its phase changes to liquid to solid, The Density of a material shows the denseness of that material in a specific given volume. This is taken as mass per unit volume of a given object, 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 the metal is the thickness of the base metal and is denoted by h symbol & Distance from the Fusion Boundary is measured from the fusion boundary during welding.

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 a Distance of y-Ambient Temperature)*(Melting Temperature of Base Metal-Ambient Temperature)*sqrt(2*pi*e)*Density*Specific Heat Capacity*Thickness of the Metal*Distance from the Fusion Boundary)/(Melting Temperature of Base Metal-Temperature Reached at a Distance of y). To calculate Net heat supplied to weld area to raise it to given temperature from fusion boundary, you need Temperature Reached at a Distance of y (T_y), Ambient Temperature (t_a), Melting Temperature of Base Metal (T_m), Density (ρ), Specific Heat Capacity (Q_c), Thickness of the Metal (t) & Distance from the Fusion Boundary (y). With our tool, you need to enter the respective value for Temperature Reached at a Distance of y, Ambient Temperature, Melting Temperature of Base Metal, Density, Specific Heat Capacity, Thickness of the 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 a Distance of y, Ambient Temperature, Melting Temperature of Base Metal, Density, Specific Heat Capacity, Thickness of the 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 to Calculate Cooling Rate-Ambient Temperature)^2))/Cooling Rate
Net Heat Supplied per Unit Length = Thickness of the Metal/sqrt(Cooling Rate of Thinplate/(2*pi*Thermal Conductivity*Density*Specific Heat Capacity*((Temperature to Calculate Cooling Rate-Ambient Temperature)^3)))

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