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Biot Number using Characteristic Length Formula

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

Bi = \frac{h transfer \cdot L char}{k fin}

Bi - Biot Number?h_transfer - Heat Transfer Coefficient?L_char - Characteristic Length?k_fin - Thermal Conductivity of Fin?

Biot Number using Characteristic Length Example

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

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

Here is how the Biot Number using Characteristic Length equation looks like.

0.389 = \frac{13.2 \cdot 0.3}{10.18}

0.389 = \frac{13.2W/m²*K \cdot 0.3m}{10.18W/(m*K)}

0.389 = \frac{13.2 \cdot 0.3}{10.18}

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Biot Number using Characteristic Length Solution

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

FIRST Step Consider the formula

Bi = \frac{h transfer \cdot L char}{k fin}

Next Step Substitute values of Variables

∴

Bi = \frac{13.2W/m²*K \cdot 0.3m}{10.18W/(m*K)}

Next Step Prepare to Evaluate

∴

Bi = \frac{13.2 \cdot 0.3}{10.18}

Next Step Evaluate

∴

Bi = 0.388998035363458

LAST Step Rounding Answer

∴

Bi = 0.389

Biot Number using Characteristic Length Formula Elements

Variables

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 can be positive or negative.

Formulas to find Biot Number

Heat Transfer Coefficient

The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

Symbol: h_transfer

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Heat Transfer Coefficient

Characteristic Length

Characteristic Length is the ratio of volume and the area.

Symbol: L_char

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Characteristic Length

Thermal Conductivity of Fin

Thermal Conductivity of Fin is rate of heat passes through Fin, 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_fin

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

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity of Fin

Other formulas in Heat Transfer from Extended Surfaces (Fins) category

Go Heat Flux

q = k o \cdot \frac{T}{l}

Go Diameter of Rod Circular Fin given Area of Cross-Section

d rod = \sqrt{\frac{A flow \cdot 4}{π}}

Go Absolute Humidity of Air at Initial Air Temperature

Yg = (\frac{(h1 \cdot (t i - Tl)) - hg \cdot (Tg - t i)}{k y \cdot hfg}) + Yi

Go Characteristic Length for Lumped System

L char = \frac{V T}{A}

How to Evaluate Biot Number using Characteristic Length?

Biot Number using Characteristic Length evaluator uses Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin) to evaluate the Biot Number, The Biot number using Characteristic Length is the ratio of inside to outside thermal resistance for a solid object transferring heat to a fluid medium. Biot Number is denoted by Bi symbol.

How to evaluate Biot Number using Characteristic Length using this online evaluator? To use this online evaluator for Biot Number using Characteristic Length, enter Heat Transfer Coefficient (h_transfer), Characteristic Length (L_char) & Thermal Conductivity of Fin (k_fin) and hit the calculate button.

FAQs on Biot Number using Characteristic Length

What is the formula to find Biot Number using Characteristic Length?

The formula of Biot Number using Characteristic Length is expressed as Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin). Here is an example- 0.388998 = (13.2*0.3)/(10.18).

How to calculate Biot Number using Characteristic Length?

With Heat Transfer Coefficient (h_transfer), Characteristic Length (L_char) & Thermal Conductivity of Fin (k_fin) we can find Biot Number using Characteristic Length using the formula - Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin).

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