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

✖Thermal Conductivity is the rate at which heat passes through a material, defined as heat flow per unit time per unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k]			+10% -10%
✖Temperature for Cooling Rate is the temperature at which the cooling rate is calculated.ⓘ Temperature for Cooling Rate [T_c]			+10% -10%
✖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%
✖Cooling Rate of Thick Plate is the rate of decrease of temperature of a particular thick sheet of material.ⓘ Cooling Rate of Thick Plate [R]			+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 to achieve given Cooling Rates for Thick Plates [H_net]

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Formula

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Net Heat Supplied to achieve given Cooling Rates for Thick Plates

Formula

`"H"_{"net"} = (2*pi*"k"*(("T"_{"c"}-"t"_{"a"})^2))/"R"`

Example

`"999.9998J/mm"=(2*pi*"10.18W/(m*K)"*(("500°C"-"37°C")^2))/"13.71165°C/s"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate
H_net = (2*pi*k*((T_c-t_a)^2))/R
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is the rate at which heat passes through a material, defined as heat flow per unit time per unit area with a temperature gradient of one degree per unit distance.
Temperature for Cooling Rate - (Measured in Kelvin) - Temperature for Cooling Rate is the temperature at which the cooling rate is calculated.
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.
Cooling Rate of Thick Plate - (Measured in Kelvin per Second) - Cooling Rate of Thick Plate is the rate of decrease of temperature of a particular thick sheet of material.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Temperature for Cooling Rate: 500 Celsius --> 773.15 Kelvin (Check conversion here)
Ambient Temperature: 37 Celsius --> 310.15 Kelvin (Check conversion here)
Cooling Rate of Thick Plate: 13.71165 Celsius per Second --> 13.71165 Kelvin per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_net = (2*pi*k*((T_c-t_a)^2))/R --> (2*pi*10.18*((773.15-310.15)^2))/13.71165

Evaluating ... ...

H_net = 999999.791297799

STEP 3: Convert Result to Output's Unit

999999.791297799 Joule per Meter -->999.999791297799 Joule per Millimeter (Check conversion here)

FINAL ANSWER

999.999791297799 ≈ 999.9998 Joule per Millimeter <-- Net Heat Supplied Per Unit Length

(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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< 13 Heat Flow in Welded Joints Calculators

Peak Temperature Reached at any Point in Material

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

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

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)

Net Heat Supplied to achieve given Cooling Rates for Thin Plates

Go 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)))

Thickness of Base Metal for Desired Cooling Rate

Go Thickness = Net Heat Supplied Per Unit Length*sqrt(Cooling Rate of Thick Plate/(2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Temperature for Cooling Rate-Ambient Temperature)^3)))

Thermal Conductivity of Base Metal using given Cooling Rate (thin plates)

Go Thermal Conductivity = Cooling Rate of Thin Plate/(2*pi*Density of Electrode*Specific Heat Capacity*((Thickness of Filler Metal/Net Heat Supplied Per Unit Length)^2)*((Temperature for Cooling Rate-Ambient Temperature)^3))

Cooling rate for relatively thin plates

Go Cooling Rate of Thin Plate = 2*pi*Thermal Conductivity*Density of Electrode*Specific Heat Capacity*((Thickness of Filler Metal/Net Heat Supplied Per Unit Length)^2)*((Temperature for Cooling Rate-Ambient Temperature)^3)

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 for Cooling Rate-Ambient Temperature)*Density of Electrode*Specific Heat Capacity))

Relative Plate Thickness Factor

Go Relative Plate Thickness Factor = Thickness of Filler Metal*sqrt(((Temperature for Cooling Rate-Ambient Temperature)*Density of Metal*Specific Heat Capacity)/Net Heat Supplied Per Unit Length)

Net Heat Supplied using Relative Thickness Factor

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

Thermal Conductivity of Base Metal using given Cooling Rate (thick plates)

Go Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for 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 for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate

Cooling Rate for Relatively Thick Plates

Go Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length

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

Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate
H_net = (2*pi*k*((T_c-t_a)^2))/R

How heat transfer takes place near heat affected zone ?

Heat transfer in a welded joint is a complex phenomenon involving three dimensional movement of a heat source. Heat from the weld zone is transferred more to the other parts of the base metal by means of conduction. Similarly heat is also lost to surroundings by convection from the surface, with radiation component being relatively small except near the weld pool. Thus the analytical treatment of the weld zone is extremely difficult.

How to Calculate Net Heat Supplied to achieve given Cooling Rates for Thick Plates?

Net Heat Supplied to achieve given Cooling Rates for Thick Plates calculator uses Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate to calculate the Net Heat Supplied Per Unit Length, The Net Heat Supplied to achieve given Cooling Rates for Thick Plates formula is defined as the energy supplied to joint that can be dissipated by given cooling rate. Net Heat Supplied Per Unit Length is denoted by H_net symbol.

How to calculate Net Heat Supplied to achieve given Cooling Rates for Thick Plates using this online calculator? To use this online calculator for Net Heat Supplied to achieve given Cooling Rates for Thick Plates, enter Thermal Conductivity (k), Temperature for Cooling Rate (T_c), Ambient Temperature (t_a) & Cooling Rate of Thick Plate (R) and hit the calculate button. Here is how the Net Heat Supplied to achieve given Cooling Rates for Thick Plates calculation can be explained with given input values -> 1.00012 = (2*pi*10.18*((773.15-310.15)^2))/13.71165.

FAQ

What is Net Heat Supplied to achieve given Cooling Rates for Thick Plates?

The Net Heat Supplied to achieve given Cooling Rates for Thick Plates formula is defined as the energy supplied to joint that can be dissipated by given cooling rate and is represented as H_net = (2*pi*k*((T_c-t_a)^2))/R or Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate. Thermal Conductivity is the rate at which heat passes through a material, defined as heat flow per unit time per unit area with a temperature gradient of one degree per unit distance, Temperature for Cooling Rate is the temperature at which the cooling rate is calculated, 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 & Cooling Rate of Thick Plate is the rate of decrease of temperature of a particular thick sheet of material.

How to calculate Net Heat Supplied to achieve given Cooling Rates for Thick Plates?

The Net Heat Supplied to achieve given Cooling Rates for Thick Plates formula is defined as the energy supplied to joint that can be dissipated by given cooling rate is calculated using Net Heat Supplied Per Unit Length = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate. To calculate Net Heat Supplied to achieve given Cooling Rates for Thick Plates, you need Thermal Conductivity (k), Temperature for Cooling Rate (T_c), Ambient Temperature (t_a) & Cooling Rate of Thick Plate (R). With our tool, you need to enter the respective value for Thermal Conductivity, Temperature for Cooling Rate, Ambient Temperature & Cooling Rate of Thick Plate 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 Thermal Conductivity, Temperature for Cooling Rate, Ambient Temperature & Cooling Rate of Thick Plate. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
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)))

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