Net Heat supplied using Relative Thickness Factor Calculator

✖Thickness of The Metal refers to the distance between two opposite surfaces of a piece of metal.ⓘ Thickness of The Metal [t]			+10% -10%
✖Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.ⓘ Relative Plate Thickness Factor [τ]			+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%
✖Temperature to Calculate Cooling Rate is calculated is the temperature at which the cooling rate is calculated.ⓘ Temperature to Calculate Cooling Rate [T_c]			+10% -10%
✖Ambient Temperature is the temperature of the surrounding.ⓘ Ambient Temperature [t_a]			+10% -10%

✖Net Heat Supplied refers to the amount of heat energy transferred along a material or medium.ⓘ Net Heat supplied using Relative Thickness Factor [Q_net]

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Formula

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Net Heat supplied using Relative Thickness Factor

Formula

`"Q"_{"net"} = (("t"/"τ")^2)*"ρ"*"Q"_{"c"}*("T"_{"c"}-"t"_{"a"})`

Example

`"127.0066J/mm"=(("5mm"/"0.616582")^2)*"997kg/m³"*"4.184kJ/kg*K"*("500°C"-"37°C")`

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Net Heat supplied using Relative Thickness Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Heat Supplied = ((Thickness of The Metal/Relative Plate Thickness Factor)^2)*Density*Specific Heat Capacity*(Temperature to Calculate Cooling Rate-Ambient Temperature)
Q_net = ((t/τ)^2)*ρ*Q_c*(T_c-t_a)
This formula uses 7 Variables

Variables Used

Net Heat Supplied - (Measured in Joule per Meter) - Net Heat Supplied refers to the amount of heat energy transferred along a material or medium.
Thickness of The Metal - (Measured in Meter) - Thickness of The Metal refers to the distance between two opposite surfaces of a piece of metal.
Relative Plate Thickness Factor - Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate.
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.
Temperature to Calculate Cooling Rate - (Measured in Kelvin) - Temperature to Calculate Cooling Rate is calculated is the temperature at which the cooling rate is calculated.
Ambient Temperature - (Measured in Kelvin) - Ambient Temperature is the temperature of the surrounding.

STEP 1: Convert Input(s) to Base Unit

Thickness of The Metal: 5 Millimeter --> 0.005 Meter (Check conversion here)
Relative Plate Thickness Factor: 0.616582 --> No Conversion Required
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)
Temperature to Calculate Cooling Rate: 500 Celsius --> 773.15 Kelvin (Check conversion here)
Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_net = ((t/τ)^2)*ρ*Q_c*(T_c-t_a) --> ((0.005/0.616582)^2)*997*4184*(773.15-310.15)

Evaluating ... ...

Q_net = 127006.558939412

STEP 3: Convert Result to Output's Unit

127006.558939412 Joule per Meter -->127.006558939412 Joule per Millimeter (Check conversion here)

FINAL ANSWER

127.006558939412 ≈ 127.0066 Joule per Millimeter <-- Net Heat Supplied

(Calculation completed in 00.004 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 using Relative Thickness Factor 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 using Relative Thickness Factor?

Net Heat supplied using Relative Thickness Factor calculator uses Net Heat Supplied = ((Thickness of The Metal/Relative Plate Thickness Factor)^2)*Density*Specific Heat Capacity*(Temperature to Calculate Cooling Rate-Ambient Temperature) to calculate the Net Heat Supplied, The Net heat supplied using Relative thickness factor is the heat supplied to the joint when relative thickness factor is known. Net Heat Supplied is denoted by Q_net symbol.

How to calculate Net Heat supplied using Relative Thickness Factor using this online calculator? To use this online calculator for Net Heat supplied using Relative Thickness Factor, enter Thickness of The Metal (t), Relative Plate Thickness Factor (τ), Density (ρ), Specific Heat Capacity (Q_c), Temperature to Calculate Cooling Rate (T_c) & Ambient Temperature (t_a) and hit the calculate button. Here is how the Net Heat supplied using Relative Thickness Factor calculation can be explained with given input values -> 0.127007 = ((0.005/0.616582)^2)*997*4184*(773.15-310.15).

FAQ

What is Net Heat supplied using Relative Thickness Factor?

The Net heat supplied using Relative thickness factor is the heat supplied to the joint when relative thickness factor is known and is represented as Q_net = ((t/τ)^2)*ρ*Q_c*(T_c-t_a) or Net Heat Supplied = ((Thickness of The Metal/Relative Plate Thickness Factor)^2)*Density*Specific Heat Capacity*(Temperature to Calculate Cooling Rate-Ambient Temperature). Thickness of The Metal refers to the distance between two opposite surfaces of a piece of metal, Relative Plate Thickness Factor is the factor which helps deciding the relative thickness of plate, 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, Temperature to Calculate Cooling Rate is calculated is the temperature at which the cooling rate is calculated & Ambient Temperature is the temperature of the surrounding.

How to calculate Net Heat supplied using Relative Thickness Factor?

The Net heat supplied using Relative thickness factor is the heat supplied to the joint when relative thickness factor is known is calculated using Net Heat Supplied = ((Thickness of The Metal/Relative Plate Thickness Factor)^2)*Density*Specific Heat Capacity*(Temperature to Calculate Cooling Rate-Ambient Temperature). To calculate Net Heat supplied using Relative Thickness Factor, you need Thickness of The Metal (t), Relative Plate Thickness Factor (τ), Density (ρ), Specific Heat Capacity (Q_c), Temperature to Calculate Cooling Rate (T_c) & Ambient Temperature (t_a). With our tool, you need to enter the respective value for Thickness of The Metal, Relative Plate Thickness Factor, Density, Specific Heat Capacity, Temperature to Calculate Cooling Rate & Ambient Temperature 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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