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

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

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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. Check FAQs

k = \frac{R \cdot H net}{2 \cdot π \cdot ({(T c - t a)}^{2})}

k - Thermal Conductivity?R - Cooling Rate of Thick Plate?H_net - Net Heat Supplied Per Unit Length?T_c - Temperature for Cooling Rate?t_a - Ambient Temperature?π - Archimedes' constant?

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

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Here is how the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) equation looks like with Values.

Here is how the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) equation looks like with Units.

Here is how the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) equation looks like.

10.18 = \frac{13.7116 \cdot 1000}{2 \cdot 3.1416 \cdot ({(500 - 37)}^{2})}

10.18W/(m*K) = \frac{13.7116°C/s \cdot 1000J/mm}{2 \cdot 3.1416 \cdot ({(500°C - 37°C)}^{2})}

10.18 = \frac{13.7116 \cdot 1000}{2 \cdot 3.1416 \cdot ({(500 - 37)}^{2})}

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

Follow our step by step solution on how to calculate Thermal Conductivity of Base Metal using given Cooling Rate (thick plates)?

FIRST Step Consider the formula

k = \frac{R \cdot H net}{2 \cdot π \cdot ({(T c - t a)}^{2})}

Next Step Substitute values of Variables

∴

k = \frac{13.7116°C/s \cdot 1000J/mm}{2 \cdot π \cdot ({(500°C - 37°C)}^{2})}

Next Step Substitute values of Constants

∴

k = \frac{13.7116°C/s \cdot 1000J/mm}{2 \cdot 3.1416 \cdot ({(500°C - 37°C)}^{2})}

Next Step Convert Units

∴

k = \frac{13.7116K/s \cdot 1E+6J/m}{2 \cdot 3.1416 \cdot ({(773.15K - 310.15K)}^{2})}

Next Step Prepare to Evaluate

∴

k = \frac{13.7116 \cdot 1E+6}{2 \cdot 3.1416 \cdot ({(773.15 - 310.15)}^{2})}

Next Step Evaluate

∴

k = 10.1800021245888W/(m*K)

LAST Step Rounding Answer

∴

k = 10.18W/(m*K)

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

Variables

Constants

Thermal Conductivity

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.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value can be positive or negative.

Formulas to find Thermal Conductivity

Cooling Rate of Thick Plate

Cooling Rate of Thick Plate is the rate of decrease of temperature of a particular thick sheet of material.

Symbol: R

Measurement: Rate of Temperature ChangeUnit: °C/s

Note: Value can be positive or negative.

Formulas to find Cooling Rate of Thick Plate

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

Temperature for Cooling Rate

Temperature for Cooling Rate is the temperature at which the cooling rate is calculated.

Symbol: T_c

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Temperature for Cooling Rate

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

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

Other Formulas to find Thermal Conductivity

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

k = \frac{R c}{2 \cdot π \cdot ρ \cdot Q c \cdot ({(\frac{t}{H net})}^{2}) \cdot ({(T c - t a)}^{3})}

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 Position of Peak Temperature from Fusion Boundary

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}

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}

Go Cooling Rate for Relatively Thick Plates

R = \frac{2 \cdot π \cdot k \cdot ({(T c - t a)}^{2})}{H net}

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

Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) evaluator uses Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)) to evaluate 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 evaluate Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) using this online evaluator? To use this online evaluator 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.

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

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

The formula of Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) is expressed as Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)). Here is an example- 10.17878 = (13.71165*1000000)/(2*pi*((773.15-310.15)^2)).

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

With Cooling Rate of Thick Plate (R), Net Heat Supplied Per Unit Length (H_net), Temperature for Cooling Rate (T_c) & Ambient Temperature (t_a) we can find Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) using the formula - Thermal Conductivity = (Cooling Rate of Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Thermal Conductivity?

Here are the different ways to Calculate Thermal Conductivity-

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))

Can the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) be negative?

Yes, the Thermal Conductivity of Base Metal using given Cooling Rate (thick plates), measured in Thermal Conductivity can be negative.

Which unit is used to measure Thermal Conductivity of Base Metal using given Cooling Rate (thick plates)?

Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) is usually measured using the Watt per Meter per K[W/(m*K)] for Thermal Conductivity. Kilowatt per Meter per K[W/(m*K)], Calorie (IT) per Second per Centimeter per °C[W/(m*K)], Kilocalorie (th) per Hour per Meter per °C[W/(m*K)] are the few other units in which Thermal Conductivity of Base Metal using given Cooling Rate (thick plates) can be measured.

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

​GoThermal Conductivity of Base Metal using given Cooling Rate (thin plates) Formula

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

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

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

Other Formulas to find Thermal Conductivity

Other formulas in Heat Flow in Welded Joints category

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

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

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