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Product of Biot and Fourier Number given System Properties Formula

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Product of Biot and Fourier Numbers calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer. Check FAQs

BiFo = \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}

BiFo - Product of Biot And Fourier Numbers?h - Convection Heat Transfer Coefficient?A - Surface Area?t - Time Elapsed?ρ - Density?V_T - Total Volume?C_o - Specific Heat Capacity?

Product of Biot and Fourier Number given System Properties Example

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Here is how the Product of Biot and Fourier Number given System Properties equation looks like with Values.

Here is how the Product of Biot and Fourier Number given System Properties equation looks like with Units.

Here is how the Product of Biot and Fourier Number given System Properties equation looks like.

0.0062 = \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

0.0062 = \frac{0.04W/m²*K \cdot 18m² \cdot 12s}{5.51kg/m³ \cdot 63m³ \cdot 4J/(kg*K)}

0.0062 = \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

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Product of Biot and Fourier Number given System Properties Solution

Follow our step by step solution on how to calculate Product of Biot and Fourier Number given System Properties?

FIRST Step Consider the formula

BiFo = \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}

Next Step Substitute values of Variables

∴

BiFo = \frac{0.04W/m²*K \cdot 18m² \cdot 12s}{5.51kg/m³ \cdot 63m³ \cdot 4J/(kg*K)}

Next Step Prepare to Evaluate

∴

BiFo = \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

Next Step Evaluate

∴

BiFo = 0.00622245268343272

LAST Step Rounding Answer

∴

BiFo = 0.0062

Product of Biot and Fourier Number given System Properties Formula Elements

Variables

Product of Biot And Fourier Numbers

Product of Biot and Fourier Numbers calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer.

Symbol: BiFo

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Product of Biot And Fourier Numbers

Open Variable

Convection Heat Transfer Coefficient

Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Convection Heat Transfer Coefficient

Open Variable

Surface Area

The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area

Open Variable

Time Elapsed

Time Elapsed after a particular task is started.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Elapsed

Open Variable

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Open Variable

Total Volume

Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Total Volume

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_o

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

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Open Variable

Other formulas in Transient Heat Conduction category

Go Instantaneous heat transfer rate

Q rate = h \cdot A \cdot (T o - t f) \cdot (\exp (- \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}))

Go Total Heat Transfer during Time Interval

Q = ρ \cdot c \cdot V T \cdot (T o - t f) \cdot (1 - (\exp (- (Bi \cdot Fo))))

See More

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How to Evaluate Product of Biot and Fourier Number given System Properties?

Product of Biot and Fourier Number given System Properties evaluator uses Product of Biot And Fourier Numbers = (Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity) to evaluate the Product of Biot And Fourier Numbers, Product of Biot and Fourier Number given System Properties formula calculates the product using the system properties which simplify the calculation of temperature in the unsteady state heat transfer. Product of Biot And Fourier Numbers is denoted by BiFo symbol.

How to evaluate Product of Biot and Fourier Number given System Properties using this online evaluator? To use this online evaluator for Product of Biot and Fourier Number given System Properties, enter Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o) and hit the calculate button.

FAQs on Product of Biot and Fourier Number given System Properties

What is the formula to find Product of Biot and Fourier Number given System Properties?

The formula of Product of Biot and Fourier Number given System Properties is expressed as Product of Biot And Fourier Numbers = (Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity). Here is an example- 0.006222 = (0.04*18*12)/(5.51*63*4).

How to calculate Product of Biot and Fourier Number given System Properties?

With Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o) we can find Product of Biot and Fourier Number given System Properties using the formula - Product of Biot And Fourier Numbers = (Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity).

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