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

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Heat Flow in Welded Joints Distortion in Weldments Heat Input in Welding Resistance spot welding parameters for mild steels

✖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 Per Unit Length [H_net]			+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%

✖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 of Base Metal using given Cooling Rate (thick plates) [k]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Cooling Rate of Thick Plate: 13.71165 Celsius per Second --> 13.71165 Kelvin per Second (Check conversion here)
Net Heat Supplied Per Unit Length: 1000 Joule per Millimeter --> 1000000 Joule per Meter (Check conversion here)
Temperature for 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

k = (R*H_net)/(2*pi*((T_c-t_a)^2)) --> (13.71165*1000000)/(2*pi*((773.15-310.15)^2))

Evaluating ... ...

k = 10.1800021245888

STEP 3: Convert Result to Output's Unit

10.1800021245888 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

10.1800021245888 ≈ 10.18 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.051 seconds)

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Created by Rajat Vishwakarma

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

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

LaTeX Go

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

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

Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) calculator uses Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)) to calculate the Thermal Conductivity, The Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) formula is the sensitivity of base metal towards heat conduction under given conditions. Thermal Conductivity is denoted by k symbol.

How to calculate Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) using this online calculator? To use this online calculator for Thermal Conductivity of Base Metal using given Cooling Rate (thick plates), enter Cooling Rate of Thick Plate (R), Net Heat Supplied Per Unit Length (H_net), Temperature for Cooling Rate (T_c) & Ambient Temperature (t_a) and hit the calculate button. Here is how the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) calculation can be explained with given input values -> 10.17878 = (13.71165*1000000)/(2*pi*((773.15-310.15)^2)).

FAQ

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

The Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) formula is the sensitivity of base metal towards heat conduction under given conditions and is represented as k = (R*H_net)/(2*pi*((T_c-t_a)^2)) or Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)). Cooling Rate of Thick Plate is the rate of decrease of temperature of a particular thick sheet of material, Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium, 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.

How to calculate Thermal Conductivity of Base Metal using given Cooling Rate (thick plates)?

The Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) formula is the sensitivity of base metal towards heat conduction under given conditions is calculated using Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)). To calculate Thermal Conductivity of Base Metal using given Cooling Rate (thick plates), you need Cooling Rate of Thick Plate (R), Net Heat Supplied Per Unit Length (H_net), Temperature for Cooling Rate (T_c) & Ambient Temperature (t_a). With our tool, you need to enter the respective value for Cooling Rate of Thick Plate, Net Heat Supplied Per Unit Length, Temperature for 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.

How many ways are there to calculate Thermal Conductivity?

In this formula, Thermal Conductivity uses Cooling Rate of Thick Plate, Net Heat Supplied Per Unit Length, Temperature for Cooling Rate & Ambient Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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