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Peak Temperature Reached at any Point in Material Calculator

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✖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.ⓘ Ambient Temperature [t_a]			+10% -10%
✖Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium.ⓘ Net Heat Supplied Per Unit Length [H_net]			+10% -10%
✖Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.ⓘ Melting Temperature of Base Metal [T_m]			+10% -10%
✖Density of Metal is the mass per unit volume of the given metal.ⓘ Density of Metal [ρ_m]			+10% -10%
✖Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.ⓘ Thickness of Filler Metal [t]			+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%
✖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.ⓘ Distance from the Fusion Boundary [y]			+10% -10%

✖Peak Temperature Reached at Some Distance is the temperature reached at a distance of y from the fusion boundary.ⓘ Peak Temperature Reached at any Point in Material [T_p]

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Peak Temperature Reached at any Point in Material Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
T_p = t_a+(H_net*(T_m-t_a))/((T_m-t_a)*sqrt(2*pi*e)*ρ_m*t*Q_c*y+H_net)
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

Peak Temperature Reached at Some Distance - (Measured in Kelvin) - Peak 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.
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.
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 Metal - (Measured in Kilogram per Cubic Meter) - Density of Metal is the mass per unit volume of the given metal.
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.
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.
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

Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion here)
Net Heat Supplied Per Unit Length: 1000 Joule per Millimeter --> 1000000 Joule per Meter (Check conversion here)
Melting Temperature of Base Metal: 1500 Celsius --> 1773.15 Kelvin (Check conversion here)
Density of Metal: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Thickness of Filler Metal: 5 Millimeter --> 0.005 Meter (Check conversion here)
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (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

T_p = t_a+(H_net*(T_m-t_a))/((T_m-t_a)*sqrt(2*pi*e)*ρ_m*t*Q_c*y+H_net) --> 310.15+(1000000*(1773.15-310.15))/((1773.15-310.15)*sqrt(2*pi*e)*7850*0.005*4184*0.09999996+1000000)

Evaluating ... ...

T_p = 324.737457789052

STEP 3: Convert Result to Output's Unit

324.737457789052 Kelvin -->51.5874577890518 Celsius (Check conversion here)

FINAL ANSWER

51.5874577890518 ≈ 51.58746 Celsius <-- Peak Temperature Reached at Some Distance

(Calculation completed in 00.004 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

Peak Temperature Reached at any Point in Material Formula

LaTeX Go

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 Peak Temperature Reached at any Point in Material?

Peak Temperature Reached at any Point in Material calculator uses 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) to calculate the Peak Temperature Reached at Some Distance, The Peak Temperature reached at any point in material formula is defined as the temperature reached during welding in the heat affected zone. Peak Temperature Reached at Some Distance is denoted by T_p symbol.

How to calculate Peak Temperature Reached at any Point in Material using this online calculator? To use this online calculator for Peak Temperature Reached at any Point in Material, enter Ambient Temperature (t_a), Net Heat Supplied Per Unit Length (H_net), Melting Temperature of Base Metal (T_m), Density of Metal (ρ_m), Thickness of Filler Metal (t), Specific Heat Capacity (Q_c) & Distance from the Fusion Boundary (y) and hit the calculate button. Here is how the Peak Temperature Reached at any Point in Material calculation can be explained with given input values -> -221.562548 = 310.15+(1000000*(1773.15-310.15))/((1773.15-310.15)*sqrt(2*pi*e)*7850*0.005*4184*0.09999996+1000000).

FAQ

What is Peak Temperature Reached at any Point in Material?

The Peak Temperature reached at any point in material formula is defined as the temperature reached during welding in the heat affected zone and is represented as T_p = t_a+(H_net*(T_m-t_a))/((T_m-t_a)*sqrt(2*pi*e)*ρ_m*t*Q_c*y+H_net) or 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). 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, Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium, Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid, Density of Metal is the mass per unit volume of the given metal, Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & 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 Peak Temperature Reached at any Point in Material?

The Peak Temperature reached at any point in material formula is defined as the temperature reached during welding in the heat affected zone is calculated using 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). To calculate Peak Temperature Reached at any Point in Material, you need Ambient Temperature (t_a), Net Heat Supplied Per Unit Length (H_net), Melting Temperature of Base Metal (T_m), Density of Metal (ρ_m), Thickness of Filler Metal (t), Specific Heat Capacity (Q_c) & Distance from the Fusion Boundary (y). With our tool, you need to enter the respective value for Ambient Temperature, Net Heat Supplied Per Unit Length, Melting Temperature of Base Metal, Density of Metal, Thickness of Filler Metal, Specific Heat Capacity & 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.

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