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

GoThermal Conductivity of Base Metal using given Cooling Rate (thick 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 c}{2 \cdot π \cdot ρ \cdot Q c \cdot ({(\frac{t}{H net})}^{2}) \cdot ({(T c - t a)}^{3})}

k - Thermal Conductivity?R_c - Cooling Rate of Thin Plate?ρ - Density of Electrode?Q_c - Specific Heat Capacity?t - Thickness of Filler Metal?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 (thin plates) Example

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

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

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

10.1483 = \frac{0.66}{2 \cdot 3.1416 \cdot 997 \cdot 4.184 \cdot ({(\frac{5}{1000})}^{2}) \cdot ({(500 - 37)}^{3})}

10.1483W/(m*K) = \frac{0.66°C/s}{2 \cdot 3.1416 \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(\frac{5mm}{1000J/mm})}^{2}) \cdot ({(500°C - 37°C)}^{3})}

10.1483 = \frac{0.66}{2 \cdot 3.1416 \cdot 997 \cdot 4.184 \cdot ({(\frac{5}{1000})}^{2}) \cdot ({(500 - 37)}^{3})}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k = \frac{0.66°C/s}{2 \cdot π \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(\frac{5mm}{1000J/mm})}^{2}) \cdot ({(500°C - 37°C)}^{3})}

Next Step Substitute values of Constants

∴

k = \frac{0.66°C/s}{2 \cdot 3.1416 \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(\frac{5mm}{1000J/mm})}^{2}) \cdot ({(500°C - 37°C)}^{3})}

Next Step Convert Units

∴

k = \frac{0.66K/s}{2 \cdot 3.1416 \cdot 997kg/m³ \cdot 4184J/(kg*K) \cdot ({(\frac{0.005m}{1E+6J/m})}^{2}) \cdot ({(773.15K - 310.15K)}^{3})}

Next Step Prepare to Evaluate

∴

k = \frac{0.66}{2 \cdot 3.1416 \cdot 997 \cdot 4184 \cdot ({(\frac{0.005}{1E+6})}^{2}) \cdot ({(773.15 - 310.15)}^{3})}

Next Step Evaluate

∴

k = 10.1483222949554W/(m*K)

LAST Step Rounding Answer

∴

k = 10.1483W/(m*K)

Thermal Conductivity of Base Metal using given Cooling Rate (thin 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 Thin Plate

Cooling Rate of Thin Plate is the rate of decrease of temperature of a particular material which has significantly less thickness.

Symbol: R_c

Measurement: Rate of Temperature ChangeUnit: °C/s

Note: Value can be positive or negative.

Formulas to find Cooling Rate of Thin Plate

Density of Electrode

The Density of Electrode in welding refers to the mass per unit volume of the electrode material, it is the filling material of the weld.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Electrode

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: Q_c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Thickness of Filler Metal

Thickness of Filler Metal refers to the distance between two opposite surfaces of a piece of metal where the filler metal is set.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Filler Metal

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 (thick plates)

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

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}

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

Thermal Conductivity of Base Metal using given Cooling Rate (thin plates) evaluator uses 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)) to evaluate the Thermal Conductivity, The Thermal Conductivity of Base Metal using given Cooling Rate (thin plates) formula is the sensitivity of 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 (thin plates) using this online evaluator? To use this online evaluator for Thermal Conductivity of Base Metal using given Cooling Rate (thin plates), enter Cooling Rate of Thin Plate (R_c), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Thickness of Filler Metal (t), 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 (thin plates)

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

The formula of Thermal Conductivity of Base Metal using given Cooling Rate (thin plates) is expressed as 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)). Here is an example- 10.18001 = 0.66/(2*pi*997*4184*((0.005/1000000)^2)*((773.15-310.15)^3)).

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

With Cooling Rate of Thin Plate (R_c), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Thickness of Filler Metal (t), 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 (thin plates) using the formula - 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)). 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 Thick Plate*Net Heat Supplied Per Unit Length)/(2*pi*((Temperature for Cooling Rate-Ambient Temperature)^2))

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

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

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

Thermal Conductivity of Base Metal using given Cooling Rate (thin 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 (thin plates) can be measured.

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

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

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

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

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

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

Variable Name

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