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Position of Peak Temperature from Fusion Boundary Formula

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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. Check FAQs

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}

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

Position of Peak Temperature from Fusion Boundary Example

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Here is how the Position of Peak Temperature from Fusion Boundary equation looks like with Values.

Here is how the Position of Peak Temperature from Fusion Boundary equation looks like with Units.

Here is how the Position of Peak Temperature from Fusion Boundary equation looks like.

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

100mm = \frac{(1500°C - 144.4892°C) \cdot 1000J/mm}{(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}

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

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Position of Peak Temperature from Fusion Boundary Solution

Follow our step by step solution on how to calculate Position of Peak Temperature from Fusion Boundary?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

y = \frac{(1500°C - 144.4892°C) \cdot 1000J/mm}{(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}

Next Step Substitute values of Constants

∴

y = \frac{(1500°C - 144.4892°C) \cdot 1000J/mm}{(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}

Next Step Convert Units

∴

y = \frac{(1773.15K - 417.6392K) \cdot 1E+6J/m}{(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}

Next Step Prepare to Evaluate

∴

y = \frac{(1773.15 - 417.6392) \cdot 1E+6}{(417.6392 - 310.15) \cdot (1773.15 - 310.15) \cdot \sqrt{2 \cdot 3.1416 \cdot e} \cdot 997 \cdot 4184 \cdot 0.005}

Next Step Evaluate

∴

y = 0.0999999566617208m

Next Step Convert to Output's Unit

∴

y = 99.9999566617208mm

LAST Step Rounding Answer

∴

y = 100mm

Position of Peak Temperature from Fusion Boundary Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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

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

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}

How to Evaluate Position of Peak Temperature from Fusion Boundary?

Position of Peak Temperature from Fusion Boundary evaluator uses 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) to evaluate the Distance from the Fusion Boundary, The Position of Peak Temperature from Fusion Boundary formula is defined as the distance from fusion boundary where given temperature is reached in heat affected zone. Distance from the Fusion Boundary is denoted by y symbol.

How to evaluate Position of Peak Temperature from Fusion Boundary using this online evaluator? To use this online evaluator for Position of Peak Temperature from Fusion Boundary, enter Melting Temperature of Base Metal (T_m), Temperature Reached at Some Distance (T_y), Net Heat Supplied Per Unit Length (H_net), Ambient Temperature (t_a), Density of Electrode (ρ), Specific Heat Capacity (Q_c) & Thickness of Filler Metal (t) and hit the calculate button.

FAQs on Position of Peak Temperature from Fusion Boundary

What is the formula to find Position of Peak Temperature from Fusion Boundary?

The formula of Position of Peak Temperature from Fusion Boundary is expressed as 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). Here is an example- 99999.96 = ((1773.15-417.6392)*1000000)/((417.6392-310.15)*(1773.15-310.15)*sqrt(2*pi*e)*997*4184*0.005).

How to calculate Position of Peak Temperature from Fusion Boundary?

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

Can the Position of Peak Temperature from Fusion Boundary be negative?

No, the Position of Peak Temperature from Fusion Boundary, measured in Length cannot be negative.

Which unit is used to measure Position of Peak Temperature from Fusion Boundary?

Position of Peak Temperature from Fusion Boundary is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Position of Peak Temperature from Fusion Boundary can be measured.

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Position of Peak Temperature from Fusion Boundary Formula

Position of Peak Temperature from Fusion Boundary Example

Position of Peak Temperature from Fusion Boundary Solution

Position of Peak Temperature from Fusion Boundary Formula Elements

Other formulas in Heat Flow in Welded Joints category

How to Evaluate Position of Peak Temperature from Fusion Boundary?

FAQs on Position of Peak Temperature from Fusion Boundary

Variable Name