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

GoNet Heat Supplied to achieve given Cooling Rates for Thick Plates Formula

GoNet Heat Supplied to achieve given Cooling Rates for Thin Plates Formula

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Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium. Check FAQs

H net = \frac{(T y - t a) \cdot (T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ \cdot Q c \cdot t \cdot y}{T m - T y}

H_net - Net Heat Supplied Per Unit Length?T_y - Temperature Reached at Some Distance?t_a - Ambient Temperature?T_m - Melting Temperature of Base Metal?ρ - Density of Electrode?Q_c - Specific Heat Capacity?t - Thickness of Filler Metal?y - Distance from the Fusion Boundary?π - Archimedes' constant?

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

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Here is how the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary equation looks like with Values.

Here is how the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary equation looks like with Units.

Here is how the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary equation looks like.

1000 = \frac{(144.4892 - 37) \cdot (1500 - 37) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997 \cdot 4.184 \cdot 5 \cdot 100}{1500 - 144.4892}

1000J/mm = \frac{(144.4892°C - 37°C) \cdot (1500°C - 37°C) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot 5mm \cdot 100mm}{1500°C - 144.4892°C}

1000 = \frac{(144.4892 - 37) \cdot (1500 - 37) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997 \cdot 4.184 \cdot 5 \cdot 100}{1500 - 144.4892}

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

Follow our step by step solution on how to calculate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary?

FIRST Step Consider the formula

H net = \frac{(T y - t a) \cdot (T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ \cdot Q c \cdot t \cdot y}{T m - T y}

Next Step Substitute values of Variables

∴

H net = \frac{(144.4892°C - 37°C) \cdot (1500°C - 37°C) \cdot \sqrt{2 \cdot π \cdot e} \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot 5mm \cdot 100mm}{1500°C - 144.4892°C}

Next Step Substitute values of Constants

∴

H net = \frac{(144.4892°C - 37°C) \cdot (1500°C - 37°C) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot 5mm \cdot 100mm}{1500°C - 144.4892°C}

Next Step Convert Units

∴

H net = \frac{(417.6392K - 310.15K) \cdot (1773.15K - 310.15K) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997kg/m³ \cdot 4184J/(kg*K) \cdot 0.005m \cdot 0.1m}{1773.15K - 417.6392K}

Next Step Prepare to Evaluate

∴

H net = \frac{(417.6392 - 310.15) \cdot (1773.15 - 310.15) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997 \cdot 4184 \cdot 0.005 \cdot 0.1}{1773.15 - 417.6392}

Next Step Evaluate

∴

H net = 1000000.03338281J/m

Next Step Convert to Output's Unit

∴

H net = 1000.00003338281J/mm

LAST Step Rounding Answer

∴

H net = 1000J/mm

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

Variables

Constants

Functions

Net Heat Supplied Per Unit Length

Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.

Symbol: H_net

Measurement: Energy per Unit LengthUnit: J/mm

Note: Value should be greater than 0.

Formulas to find Net Heat Supplied Per Unit Length

Temperature Reached at Some Distance

Temperature Reached at Some Distance is the temperature reached at a distance of y from the fusion boundary.

Symbol: T_y

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Temperature Reached at Some Distance

Ambient Temperature

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.

Symbol: t_a

Measurement: TemperatureUnit: °C

Note: Value should be greater than -273.15.

Formulas to find Ambient Temperature

Melting Temperature of Base Metal

Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.

Symbol: T_m

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Melting Temperature of Base Metal

Density of Electrode

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Electrode

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: Q_c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Thickness of Filler Metal

Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Filler Metal

Distance from the Fusion Boundary

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.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from the Fusion Boundary

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Net Heat Supplied Per Unit Length

Go Net Heat Supplied to achieve given Cooling Rates for Thick Plates

H net = \frac{2 \cdot π \cdot k \cdot ({(T c - t a)}^{2})}{R}

Go Net Heat Supplied to achieve given Cooling Rates for Thin Plates

H net = \frac{t}{\sqrt{\frac{R c}{2 \cdot π \cdot k \cdot ρ \cdot Q c \cdot ({(T c - t a)}^{3})}}}

Other formulas in Heat Flow in Welded Joints category

Go Peak Temperature Reached at any Point in Material

T p = t a + \frac{H net \cdot (T m - t a)}{(T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ m \cdot t \cdot Q c \cdot y + H net}

Go Position of Peak Temperature from Fusion Boundary

y = \frac{(T m - T y) \cdot H net}{(T y - t a) \cdot (T m - t a) \cdot \sqrt{2 \cdot π \cdot e} \cdot ρ \cdot Q c \cdot t}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary using this online evaluator? To use this online evaluator for Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary, enter Temperature Reached at Some Distance (T_y), Ambient Temperature (t_a), Melting Temperature of Base Metal (T_m), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Thickness of Filler Metal (t) & Distance from the Fusion Boundary (y) and hit the calculate button.

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

What is the formula to find Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary?

The formula of Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary is expressed as 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). Here is an example- 1 = ((417.6392-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005*0.09999996)/(1773.15-417.6392).

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

With Temperature Reached at Some Distance (T_y), Ambient Temperature (t_a), Melting Temperature of Base Metal (T_m), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Thickness of Filler Metal (t) & Distance from the Fusion Boundary (y) we can find Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary using the formula - 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Net Heat Supplied Per Unit Length?

Here are the different ways to Calculate Net Heat Supplied Per Unit Length-

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)))

Can the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary be negative?

No, the Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary, measured in Energy per Unit Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Joule per Millimeter[J/mm] for Energy per Unit Length. Joule per Meter[J/mm], Joule per Centimeter[J/mm], Joule per Micrometer[J/mm] are the few other units in which Net Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary can be measured.

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

​GoNet Heat Supplied to achieve given Cooling Rates for Thick Plates Formula

​GoNet Heat Supplied to achieve given Cooling Rates for Thin Plates Formula

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

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

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

Other Formulas to find Net Heat Supplied Per Unit Length

Other formulas in Heat Flow in Welded Joints category

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

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

Variable Name

GoNet Heat Supplied to achieve given Cooling Rates for Thick Plates Formula

GoNet Heat Supplied to achieve given Cooling Rates for Thin Plates Formula