FormulaDen.com

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

1

Fourier Number using Thermal Conductivity Formula

2

GoFourier Number using Biot Number Formula

3

GoFourier Number Formula

Fx Copy

LaTeX Copy

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{k \cdot 𝜏 c}{ρ B \cdot c \cdot (s^{2})})

F_o - Fourier Number?k - Thermal Conductivity?𝜏_c - Characteristic Time?ρ_B - Density of Body?c - Specific Heat Capacity?s - Characteristic Dimension?

Fourier Number using Thermal Conductivity Example

With values

With units

Only example

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

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

Here is how the Fourier Number using Thermal Conductivity equation looks like.

0.005 = (\frac{2.15 \cdot 2.5}{15 \cdot 1.5 \cdot ({6.9}^{2})})

0.005 = (\frac{2.15W/(m*K) \cdot 2.5s}{15kg/m³ \cdot 1.5J/(kg*K) \cdot ({6.9m}^{2})})

0.005 = (\frac{2.15 \cdot 2.5}{15 \cdot 1.5 \cdot ({6.9}^{2})})

Tip: Use pencil ( Pencil

Pencil

) icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

HomeIcon

Home » Category

Category

Engineering » Category

Category

Chemical Engineering » Category

Category

Heat Transfer » fx Fourier Number using Thermal Conductivity

Fourier Number using Thermal Conductivity Solution

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

FIRST Step Consider the formula

F o = (\frac{k \cdot 𝜏 c}{ρ B \cdot c \cdot (s^{2})})

Next Step Substitute values of Variables

∴

F o = (\frac{2.15W/(m*K) \cdot 2.5s}{15kg/m³ \cdot 1.5J/(kg*K) \cdot ({6.9m}^{2})})

Next Step Prepare to Evaluate

∴

F o = (\frac{2.15 \cdot 2.5}{15 \cdot 1.5 \cdot ({6.9}^{2})})

Next Step Evaluate

∴

F o = 0.00501762001446941

LAST Step Rounding Answer

∴

F o = 0.005

Fourier Number using Thermal Conductivity 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

Open Variable

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Open Variable

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

Open Variable

Density of Body

Density of Body is the physical quantity that expresses the relationship between its mass and its volume.

Symbol: ρ_B

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Body

Open Variable

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: c

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Heat Capacity

Open Variable

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

Open Variable

Other Formulas to find Fourier Number

Go Fourier Number using Biot Number

F o = (- \frac{1}{Bi}) \cdot \ln (\frac{T - T ∞}{T 0 - T ∞})

Go Fourier Number

F o = \frac{α \cdot 𝜏 c}{s^{2}}

Go Fourier Number given Heat Transfer Coefficient and Time Constant

F o = \frac{h \cdot A c \cdot 𝜏}{ρ B \cdot c \cdot V \cdot Bi}

Go Fourier Number given Characteristic Dimension and Biot Number

F o = \frac{h \cdot 𝜏}{ρ B \cdot c \cdot s \cdot Bi}

Other formulas in Unsteady State Heat Conduction category

Go Biot Number using Heat Transfer Coefficient

Bi = \frac{h \cdot 𝓁}{k}

Go Biot Number using Fourier Number

Bi = (- \frac{1}{F o}) \cdot \ln (\frac{T - T ∞}{T 0 - T ∞})

Go Initial Internal Energy Content of Body in Reference to Environment Temperature

Q o = ρ B \cdot c \cdot V \cdot (T i - T amb)

Go Thermal Conductivity given Biot Number

k = \frac{h \cdot 𝓁}{Bi}

See More

OpenImg

How to Evaluate Fourier Number using Thermal Conductivity?

Fourier Number using Thermal Conductivity evaluator uses Fourier Number = ((Thermal Conductivity*Characteristic Time)/(Density of Body*Specific Heat Capacity*(Characteristic Dimension^2))) to evaluate the Fourier Number, The Fourier Number using Thermal Conductivity 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 Thermal Conductivity using this online evaluator? To use this online evaluator for Fourier Number using Thermal Conductivity, enter Thermal Conductivity (k), Characteristic Time (𝜏_c), Density of Body (ρ_B), Specific Heat Capacity (c) & Characteristic Dimension (s) and hit the calculate button.

FAQs on Fourier Number using Thermal Conductivity

What is the formula to find Fourier Number using Thermal Conductivity?

The formula of Fourier Number using Thermal Conductivity is expressed as Fourier Number = ((Thermal Conductivity*Characteristic Time)/(Density of Body*Specific Heat Capacity*(Characteristic Dimension^2))). Here is an example- 0.005018 = ((2.15*2.5)/(15*1.5*(6.9^2))).

How to calculate Fourier Number using Thermal Conductivity?

With Thermal Conductivity (k), Characteristic Time (𝜏_c), Density of Body (ρ_B), Specific Heat Capacity (c) & Characteristic Dimension (s) we can find Fourier Number using Thermal Conductivity using the formula - Fourier Number = ((Thermal Conductivity*Characteristic Time)/(Density of Body*Specific Heat Capacity*(Characteristic Dimension^2))).

What are the other ways to Calculate Fourier Number?

Here are the different ways to Calculate Fourier Number-

Fourier Number=(-1/(Biot Number))*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))
Fourier Number=(Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2)
Fourier Number=(Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object*Biot Number)

Let Others Know

✖

WhatsApp

Copied!