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 = (htransfer*Lchar)/(kfin)
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 = (htransfer*Lchar)/(kfin) --> (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)

Credits

Created by Akshay Talbar
Vishwakarma University (VU), Pune
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9 Heat Transfer from Extended Surfaces (Fins) Calculators

Heat Dissipation from Fin Losing Heat at End Tip
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)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt(Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)))))/(1+tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area))))))
Heat Dissipation from Fin Insulated at End Tip
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)
Heat Dissipation from Infinitely Long Fin
Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)
Heat Transfer in Fins given Fin Efficiency
Go Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Biot Number using Characteristic Length
Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Correction Length for Cylindrical Fin with Non-Adiabatic Tip
Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)
Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip
Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)
Correction Length for Square Fin with Non-Adiabatic Tip
Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

5 Heat Transfer Parameters Calculators

Absolute Humidity of Air at Initial Air Temperature
Go Absolute Humidity of Air(tg) = (((Liquid Phase Heat Transfer Coefficient*(Inside Temperature-Liquid layer temperature))-Gas Phase Heat Transfer Coefficient*(Bulk Gas Temperature-Inside Temperature))/(Gas Phase Mass Transfer Coefficient*Enthalpy of Evaporation))+Absolute Humidity (ti)
Biot Number using Characteristic Length
Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Heat Flux
Go Heat Flux = Thermal Conductivity of Fin*Temperature of Conductor/Length of Conductor
Diameter of Rod Circular Fin given Area of Cross-Section
Go Diameter of Circular Rod = sqrt((Cross-sectional area*4)/pi)
Characteristic Length for Lumped System
Go Characteristic Length = (Volume)/(Area)

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

Heat Dissipation from Fin Losing Heat at End Tip
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)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt(Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)))))/(1+tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area))))))
Heat Dissipation from Fin Insulated at End Tip
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)
Heat Dissipation from Infinitely Long Fin
Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)
Thermal Resistance for Conduction at Tube Wall
Go Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)
Heat Transfer in Fins given Fin Efficiency
Go Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Biot Number using Characteristic Length
Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Critical Radius of Insulation of Hollow Sphere
Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
Critical Radius of Insulation of Cylinder
Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient
Correction Length for Cylindrical Fin with Non-Adiabatic Tip
Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)
Outside Heat Transfer Coefficient given Thermal Resistance
Go External Convection Heat Transfer Coefficient = 1/(Thermal Resistance*Outside Area)
Thermal Resistance for Convection at Outer Surface
Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)
Outside Area given Outer Thermal Resistance
Go Outside Area = 1/(External Convection Heat Transfer Coefficient*Thermal Resistance)
Inner Heat Transfer Coefficient given Inner Thermal Resistance
Go Inside Convection Heat Transfer Coefficient = 1/(Inside Area*Thermal Resistance)
Inside Area given Thermal Resistance for Inner Surface
Go Inside Area = 1/(Inside Convection Heat Transfer Coefficient*Thermal Resistance)
Thermal Resistance for Convection at Inner Surface
Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)
Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip
Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)
Volumetric Heat Generation in Current Carrying Electrical Conductor
Go Volumetric Heat Generation = (Electric Current Density^2)*Resistivity
Total Thermal Resistance
Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)
Correction Length for Square Fin with Non-Adiabatic Tip
Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

Biot Number using Characteristic Length Formula

Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)
Bi = (htransfer*Lchar)/(kfin)

What is Heat Exchanger?

A Heat Exchanger is a device that facilitates the process of heat exchange between two fluids that are at different temperatures.

What are the Different Types of Heat Exchanger?

Mainly Heat Exchanger are divided in 4 categories: Hairpin Type Heat Exchanger, Double Pipe Heat Exchanger, Shell and Tube Heat Exchanger & Plate Type Heat Exchanger.

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 (htransfer), Characteristic Length (Lchar) & Thermal Conductivity of Fin (kfin) 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 = (htransfer*Lchar)/(kfin) 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 (htransfer), Characteristic Length (Lchar) & Thermal Conductivity of Fin (kfin). 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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