FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Cooling Rate for Relatively Thick Plates Formula

Fx Copy

LaTeX Copy

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

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

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

Cooling Rate for Relatively Thick Plates Example

With values

With units

Only example

Here is how the Cooling Rate for Relatively Thick Plates equation looks like with Values.

Here is how the Cooling Rate for Relatively Thick Plates equation looks like with Units.

Here is how the Cooling Rate for Relatively Thick Plates equation looks like.

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Welding » fx Cooling Rate for Relatively Thick Plates

Cooling Rate for Relatively Thick Plates Solution

Follow our step by step solution on how to calculate Cooling Rate for Relatively Thick Plates?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

R = \frac{2 \cdot 3.1416 \cdot 10.18W/(m*K) \cdot ({(773.15K - 310.15K)}^{2})}{1E+6J/m}

Next Step Prepare to Evaluate

∴

R = \frac{2 \cdot 3.1416 \cdot 10.18 \cdot ({(773.15 - 310.15)}^{2})}{1E+6}

Next Step Evaluate

∴

R = 13.7116471383485K/s

Next Step Convert to Output's Unit

∴

R = 13.7116471383485°C/s

LAST Step Rounding Answer

∴

R = 13.7116°C/s

Cooling Rate for Relatively Thick Plates Formula Elements

Variables

Constants

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

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

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

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

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 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 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}

How to Evaluate Cooling Rate for Relatively Thick Plates?

Cooling Rate for Relatively Thick Plates evaluator uses Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length to evaluate the Cooling Rate of Thick Plate, The Cooling Rate for Relatively Thick Plates formula is defined as the change in weld temperature per unit of time. Cooling Rate of Thick Plate is denoted by R symbol.

How to evaluate Cooling Rate for Relatively Thick Plates using this online evaluator? To use this online evaluator for Cooling Rate for Relatively Thick Plates, enter Thermal Conductivity (k), Temperature for Cooling Rate (T_c), Ambient Temperature (t_a) & Net Heat Supplied Per Unit Length (H_net) and hit the calculate button.

FAQs on Cooling Rate for Relatively Thick Plates

What is the formula to find Cooling Rate for Relatively Thick Plates?

The formula of Cooling Rate for Relatively Thick Plates is expressed as Cooling Rate of Thick Plate = (2*pi*Thermal Conductivity*((Temperature for Cooling Rate-Ambient Temperature)^2))/Net Heat Supplied Per Unit Length. Here is an example- 13.71165 = (2*pi*10.18*((773.15-310.15)^2))/1000000.

How to calculate Cooling Rate for Relatively Thick Plates?

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

Can the Cooling Rate for Relatively Thick Plates be negative?

Yes, the Cooling Rate for Relatively Thick Plates, measured in Rate of Temperature Change can be negative.

Which unit is used to measure Cooling Rate for Relatively Thick Plates?

Cooling Rate for Relatively Thick Plates is usually measured using the Celsius per Second[°C/s] for Rate of Temperature Change. Kelvin per Second[°C/s], Kelvin per Minute[°C/s], Fahrenheit per Second[°C/s] are the few other units in which Cooling Rate for Relatively Thick Plates can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Cooling Rate for Relatively Thick Plates Formula

Cooling Rate for Relatively Thick Plates Example

Cooling Rate for Relatively Thick Plates Solution

Cooling Rate for Relatively Thick Plates Formula Elements

Other formulas in Heat Flow in Welded Joints category

How to Evaluate Cooling Rate for Relatively Thick Plates?

FAQs on Cooling Rate for Relatively Thick Plates

Variable Name