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Fourier Number Formula

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Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter. Check FAQs

F o = \frac{α \cdot 𝜏 c}{s^{2}}

F_o - Fourier Number?α - Thermal Diffusivity?𝜏_c - Characteristic Time?s - Characteristic Dimension?

Fourier Number Example

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Here is how the Fourier Number equation looks like with Values.

Here is how the Fourier Number equation looks like with Units.

Here is how the Fourier Number equation looks like.

0.293 = \frac{5.58 \cdot 2.5}{{6.9}^{2}}

0.293 = \frac{5.58m²/s \cdot 2.5s}{{6.9m}^{2}}

0.293 = \frac{5.58 \cdot 2.5}{{6.9}^{2}}

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Fourier Number Solution

Follow our step by step solution on how to calculate Fourier Number?

FIRST Step Consider the formula

F o = \frac{α \cdot 𝜏 c}{s^{2}}

Next Step Substitute values of Variables

∴

F o = \frac{5.58m²/s \cdot 2.5s}{{6.9m}^{2}}

Next Step Prepare to Evaluate

∴

F o = \frac{5.58 \cdot 2.5}{{6.9}^{2}}

Next Step Evaluate

∴

F o = 0.293005671077505

LAST Step Rounding Answer

∴

F o = 0.293

Fourier Number Formula Elements

Variables

Fourier Number

Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter.

Symbol: F_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fourier Number

Thermal Diffusivity

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

Symbol: α

Measurement: DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Thermal Diffusivity

Characteristic Time

Characteristic Time is an estimate of the order of magnitude of the reaction time scale of a system.

Symbol: 𝜏_c

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Characteristic Time

Characteristic Dimension

Characteristic Dimension is the ratio of volume and the area.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Characteristic Dimension

Other formulas in Unsteady State Heat Conduction category

Go Reynolds Number for Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{D Tube}{μ viscosity}

Go Reynolds Number for Non-Circular Tubes

Re = ρ \cdot u Fluid \cdot \frac{L c}{μ viscosity}

Go Nusselt Number for Transitional and Rough Flow in Circular Tube

Nu = (\frac{f Darcy}{8}) \cdot (Re - 1000) \cdot \frac{Pr}{1 + 12.7 \cdot ({(\frac{f Darcy}{8})}^{0.5}) \cdot ({(Pr)}^{\frac{2}{3}} - 1)}

Go Prandtl Number

Pr = c \cdot \frac{μ viscosity}{k}

How to Evaluate Fourier Number?

Fourier Number evaluator uses Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2) to evaluate the Fourier Number, The Fourier Number is a dimensionless number that characterizes transient heat conduction. Conceptually, it is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat (thermal energy) or matter (particles). Fourier Number is denoted by F_o symbol.

How to evaluate Fourier Number using this online evaluator? To use this online evaluator for Fourier Number, enter Thermal Diffusivity (α), Characteristic Time (𝜏_c) & Characteristic Dimension (s) and hit the calculate button.

FAQs on Fourier Number

What is the formula to find Fourier Number?

The formula of Fourier Number is expressed as Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2). Here is an example- 0.293006 = (5.58*2.5)/(6.9^2).

How to calculate Fourier Number?

With Thermal Diffusivity (α), Characteristic Time (𝜏_c) & Characteristic Dimension (s) we can find Fourier Number using the formula - Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2).

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