FormulaDen.com

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

Biot Number using Fourier Number Formula

GoBiot Number using Heat Transfer Coefficient Formula

GoBiot Number given Heat Transfer Coefficient and Time Constant Formula

Fx Copy

LaTeX Copy

Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance. Check FAQs

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

Bi - Biot Number?F_o - Fourier Number?T - Temperature at Any Time T?T_∞ - Temperature of Bulk Fluid?T₀ - Initial Temperature of Object?

Biot Number using Fourier Number Example

With values

With units

Only example

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

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

Here is how the Biot Number using Fourier Number equation looks like.

0.7651 = (- \frac{1}{1.134}) \cdot \ln (\frac{589 - 373}{887.36 - 373})

0.7651 = (- \frac{1}{1.134}) \cdot \ln (\frac{589K - 373K}{887.36K - 373K})

0.7651 = (- \frac{1}{1.134}) \cdot \ln (\frac{589 - 373}{887.36 - 373})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Heat Transfer » fx Biot Number using Fourier Number

Biot Number using Fourier Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Bi = (- \frac{1}{1.134}) \cdot \ln (\frac{589K - 373K}{887.36K - 373K})

Next Step Prepare to Evaluate

∴

Bi = (- \frac{1}{1.134}) \cdot \ln (\frac{589 - 373}{887.36 - 373})

Next Step Evaluate

∴

Bi = 0.765119049134103

LAST Step Rounding Answer

∴

Bi = 0.7651

Biot Number using Fourier Number Formula Elements

Variables

Functions

Biot Number

Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

Symbol: Bi

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Biot Number

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

Temperature at Any Time T

Temperature at Any Time T is defined as the temperature of an object at any given time t measured using thermometer.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Any Time T

Temperature of Bulk Fluid

Temperature of Bulk Fluid is defined as the temperature of bulk fluid or fluid at given instant measured using thermometer.

Symbol: T_∞

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Bulk Fluid

Initial Temperature of Object

The Initial temperature of Object is defined as the measure of heat under initial state or conditions.

Symbol: T₀

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Initial Temperature of Object

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Biot Number

Go Biot Number using Heat Transfer Coefficient

Bi = \frac{h \cdot 𝓁}{k}

Go Biot Number given Heat Transfer Coefficient and Time Constant

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

Go Biot Number given Characteristic Dimension and Fourier Number

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

Other formulas in Unsteady State Heat Conduction category

Go Fourier Number using Biot Number

F o = (- \frac{1}{Bi}) \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 Fourier Number

F o = \frac{α \cdot 𝜏 c}{s^{2}}

Go Fourier Number using Thermal Conductivity

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

How to Evaluate Biot Number using Fourier Number?

Biot Number using Fourier Number evaluator uses Biot Number = (-1/Fourier Number)*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid)) to evaluate the Biot Number, The Biot Number using Fourier Number formula is defined as the function of temperature at any time t , temperature of bulk fluid, initial temperature and fourier number. Biot Number is denoted by Bi symbol.

How to evaluate Biot Number using Fourier Number using this online evaluator? To use this online evaluator for Biot Number using Fourier Number, enter Fourier Number (F_o), Temperature at Any Time T (T), Temperature of Bulk Fluid (T_∞) & Initial Temperature of Object (T₀) and hit the calculate button.

FAQs on Biot Number using Fourier Number

What is the formula to find Biot Number using Fourier Number?

The formula of Biot Number using Fourier Number is expressed as Biot Number = (-1/Fourier Number)*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid)). Here is an example- 0.765119 = (-1/1.134)*ln((589-373)/(887.36-373)).

How to calculate Biot Number using Fourier Number?

With Fourier Number (F_o), Temperature at Any Time T (T), Temperature of Bulk Fluid (T_∞) & Initial Temperature of Object (T₀) we can find Biot Number using Fourier Number using the formula - Biot Number = (-1/Fourier Number)*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Biot Number?

Here are the different ways to Calculate Biot Number-

Biot Number=(Heat Transfer Coefficient*Thickness of Wall)/Thermal Conductivity
Biot Number=(Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object*Fourier Number)
Biot Number=(Heat Transfer Coefficient*Time Constant)/(Density of Body*Specific Heat Capacity*Characteristic Dimension*Fourier Number)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Biot Number using Fourier Number Formula

​GoBiot Number using Heat Transfer Coefficient Formula

​GoBiot Number given Heat Transfer Coefficient and Time Constant Formula

Biot Number using Fourier Number Example

Biot Number using Fourier Number Solution

Biot Number using Fourier Number Formula Elements

Other Formulas to find Biot Number

Other formulas in Unsteady State Heat Conduction category

How to Evaluate Biot Number using Fourier Number?

FAQs on Biot Number using Fourier Number

Variable Name

GoBiot Number using Heat Transfer Coefficient Formula

GoBiot Number given Heat Transfer Coefficient and Time Constant Formula