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

GoNet Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary Formula

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

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Net Heat Supplied Per Unit Length refers to the amount of heat energy transferred per unit length along a material or medium. Check FAQs

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

H_net - Net Heat Supplied Per Unit Length?t - Thickness of Filler Metal?R_c - Cooling Rate of Thin Plate?k - Thermal Conductivity?ρ - Density of Electrode?Q_c - Specific Heat Capacity?T_c - Temperature for Cooling Rate?t_a - Ambient Temperature?π - Archimedes' constant?

Net Heat Supplied to achieve given Cooling Rates for Thin Plates Example

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Here is how the Net Heat Supplied to achieve given Cooling Rates for Thin Plates equation looks like with Values.

Here is how the Net Heat Supplied to achieve given Cooling Rates for Thin Plates equation looks like with Units.

Here is how the Net Heat Supplied to achieve given Cooling Rates for Thin Plates equation looks like.

1001.5595 = \frac{5}{\sqrt{\frac{0.66}{2 \cdot 3.1416 \cdot 10.18 \cdot 997 \cdot 4.184 \cdot ({(500 - 37)}^{3})}}}

1001.5595J/mm = \frac{5mm}{\sqrt{\frac{0.66°C/s}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(500°C - 37°C)}^{3})}}}

1001.5595 = \frac{5}{\sqrt{\frac{0.66}{2 \cdot 3.1416 \cdot 10.18 \cdot 997 \cdot 4.184 \cdot ({(500 - 37)}^{3})}}}

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

Follow our step by step solution on how to calculate Net Heat Supplied to achieve given Cooling Rates for Thin Plates?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H net = \frac{5mm}{\sqrt{\frac{0.66°C/s}{2 \cdot π \cdot 10.18W/(m*K) \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(500°C - 37°C)}^{3})}}}

Next Step Substitute values of Constants

∴

H net = \frac{5mm}{\sqrt{\frac{0.66°C/s}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 997kg/m³ \cdot 4.184kJ/kg*K \cdot ({(500°C - 37°C)}^{3})}}}

Next Step Convert Units

∴

H net = \frac{0.005m}{\sqrt{\frac{0.66K/s}{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot 997kg/m³ \cdot 4184J/(kg*K) \cdot ({(773.15K - 310.15K)}^{3})}}}

Next Step Prepare to Evaluate

∴

H net = \frac{0.005}{\sqrt{\frac{0.66}{2 \cdot 3.1416 \cdot 10.18 \cdot 997 \cdot 4184 \cdot ({(773.15 - 310.15)}^{3})}}}

Next Step Evaluate

∴

H net = 1001559.52000553J/m

Next Step Convert to Output's Unit

∴

H net = 1001.55952000553J/mm

LAST Step Rounding Answer

∴

H net = 1001.5595J/mm

Net Heat Supplied to achieve given Cooling Rates for Thin Plates Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Net Heat Supplied Per Unit Length

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 Net Heat Supplied to achieve given Cooling Rates for Thick Plates

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

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 Net Heat Supplied to achieve given Cooling Rates for Thin Plates?

Net Heat Supplied to achieve given Cooling Rates for Thin Plates evaluator uses 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))) to evaluate the Net Heat Supplied Per Unit Length, The Net Heat Supplied to achieve given Cooling Rates for Thin Plates formula is defined as the energy that will result in given cooling of metal weld. Net Heat Supplied Per Unit Length is denoted by H_net symbol.

How to evaluate Net Heat Supplied to achieve given Cooling Rates for Thin Plates using this online evaluator? To use this online evaluator for Net Heat Supplied to achieve given Cooling Rates for Thin Plates, enter Thickness of Filler Metal (t), Cooling Rate of Thin Plate (R_c), Thermal Conductivity (k), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Temperature for Cooling Rate (T_c) & Ambient Temperature (t_a) and hit the calculate button.

FAQs on Net Heat Supplied to achieve given Cooling Rates for Thin Plates

What is the formula to find Net Heat Supplied to achieve given Cooling Rates for Thin Plates?

The formula of Net Heat Supplied to achieve given Cooling Rates for Thin Plates is expressed as 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))). Here is an example- 1.00156 = 0.005/sqrt(0.66/(2*pi*10.18*997*4184*((773.15-310.15)^3))).

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

With Thickness of Filler Metal (t), Cooling Rate of Thin Plate (R_c), Thermal Conductivity (k), Density of Electrode (ρ), Specific Heat Capacity (Q_c), Temperature for Cooling Rate (T_c) & Ambient Temperature (t_a) we can find Net Heat Supplied to achieve given Cooling Rates for Thin Plates using the formula - 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))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Net Heat Supplied Per Unit Length?

Here are the different ways to Calculate Net Heat Supplied Per Unit Length-

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=(2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Cooling Rate of Thick Plate

Can the Net Heat Supplied to achieve given Cooling Rates for Thin Plates be negative?

No, the Net Heat Supplied to achieve given Cooling Rates for Thin Plates, measured in Energy per Unit Length cannot be negative.

Which unit is used to measure Net Heat Supplied to achieve given Cooling Rates for Thin Plates?

Net Heat Supplied to achieve given Cooling Rates for Thin Plates is usually measured using the Joule per Millimeter[J/mm] for Energy per Unit Length. Joule per Meter[J/mm], Joule per Centimeter[J/mm], Joule per Micrometer[J/mm] are the few other units in which Net Heat Supplied to achieve given Cooling Rates for Thin Plates can be measured.

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

​GoNet Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary Formula

​GoNet Heat Supplied to achieve given Cooling Rates for Thick Plates Formula

Net Heat Supplied to achieve given Cooling Rates for Thin Plates Example

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

Net Heat Supplied to achieve given Cooling Rates for Thin Plates Formula Elements

Other Formulas to find Net Heat Supplied Per Unit Length

Other formulas in Heat Flow in Welded Joints category

How to Evaluate Net Heat Supplied to achieve given Cooling Rates for Thin Plates?

FAQs on Net Heat Supplied to achieve given Cooling Rates for Thin Plates

Variable Name

GoNet Heat Supplied to Weld Area to Raise it to given Temperature from Fusion Boundary Formula

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