Biot Number using Characteristic Length Calculator

✖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.ⓘ Heat Transfer Coefficient [h_transfer]			+10% -10%
✖Characteristic Length is the ratio of volume and the area.ⓘ Characteristic Length [L_char]			+10% -10%
✖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.ⓘ Thermal Conductivity of Fin [k_fin]			+10% -10%

✖Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.ⓘ Biot Number using Characteristic Length [Bi]

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Biot Number using Characteristic Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Bi = (h_transfer*L_char)/(k_fin)
This formula uses 4 Variables

Variables Used

Biot Number - Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.
Characteristic Length - (Measured in Meter) - Characteristic Length is the ratio of volume and the area.
Thermal Conductivity of Fin - (Measured in Watt per Meter per K) - 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.

STEP 1: Convert Input(s) to Base Unit

Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required
Characteristic Length: 0.3 Meter --> 0.3 Meter No Conversion Required
Thermal Conductivity of Fin: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Bi = (h_transfer*L_char)/(k_fin) --> (13.2*0.3)/(10.18)

Evaluating ... ...

Bi = 0.388998035363458

STEP 3: Convert Result to Output's Unit

0.388998035363458 --> No Conversion Required

FINAL ANSWER

0.388998035363458 ≈ 0.388998 <-- Biot Number

(Calculation completed in 00.004 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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LaTeX Go Fin Heat Transfer Rate = (sqrt((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)))*(Surface Temperature-Surrounding Temperature)*tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)

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Newton's Law of Cooling

LaTeX Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

< Heat Transfer from Extended Surfaces (Fins), Critical Thickness of Insulation and Thermal Resistance Calculators

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

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LaTeX Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

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LaTeX Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Correction Length for Square Fin with Non-Adiabatic Tip

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Characteristic Length for Lumped System

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Biot Number using Characteristic Length Formula

LaTeX Go

Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Bi = (h_transfer*L_char)/(k_fin)

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How to Calculate Biot Number using Characteristic Length?

Biot Number using Characteristic Length calculator uses Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin) to calculate 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 calculate Biot Number using Characteristic Length using this online calculator? To use this online calculator 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. Here is how the Biot Number using Characteristic Length calculation can be explained with given input values -> 0.388998 = (13.2*0.3)/(10.18).

FAQ

What is Biot Number using Characteristic Length?

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 and is represented as Bi = (h_transfer*L_char)/(k_fin) or Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin). 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, Characteristic Length is the ratio of volume and the area & 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.

How to calculate Biot Number using Characteristic Length?

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 is calculated using Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin). To calculate Biot Number using Characteristic Length, you need Heat Transfer Coefficient (h_transfer), Characteristic Length (L_char) & Thermal Conductivity of Fin (k_fin). With our tool, you need to enter the respective value for Heat Transfer Coefficient, Characteristic Length & Thermal Conductivity of Fin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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