Thermal Conductivity given Biot Number 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]			+10% -10%
✖The thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.ⓘ Thickness of Wall [𝓁]			+10% -10%
✖Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.ⓘ Biot Number [Bi]			+10% -10%

✖Thermal Conductivity is rate of heat passes through specified material, 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 given Biot Number [k]

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Formula

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Thermal Conductivity given Biot Number

Formula

`"k" = ("h"*"𝓁" )/"Bi"`

Example

`"1.834254W/(m*K)"=("10W/m²*K"*"4.98m" )/"27.15"`

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Thermal Conductivity given Biot Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number
k = (h*𝓁 )/Bi
This formula uses 4 Variables

Variables Used

Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
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.
Thickness of Wall - (Measured in Meter) - The thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time.
Biot Number - Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

STEP 1: Convert Input(s) to Base Unit

Heat Transfer Coefficient: 10 Watt per Square Meter per Kelvin --> 10 Watt per Square Meter per Kelvin No Conversion Required
Thickness of Wall: 4.98 Meter --> 4.98 Meter No Conversion Required
Biot Number: 27.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (h*𝓁 )/Bi --> (10*4.98 )/27.15

Evaluating ... ...

k = 1.83425414364641

STEP 3: Convert Result to Output's Unit

1.83425414364641 Watt per Meter per K --> No Conversion Required

FINAL ANSWER

1.83425414364641 ≈ 1.834254 Watt per Meter per K <-- Thermal Conductivity

(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 18 Unsteady State Heat Conduction Calculators

Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid

Go Temperature at Any Time T = Initial Temperature of Solid+(Heat Energy/(Area*Density of Body*Specific Heat Capacity*(pi*Thermal Diffusivity*Time Constant)^(0.5)))*exp((-Depth of Semi Infinite Solid^2)/(4*Thermal Diffusivity*Time Constant))

Initial Temperature of Body by Lumped Heat Capacity Method

Go Initial Temperature of Object = (Temperature at Any Time T-Temperature of Bulk Fluid)/ (exp((-Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object)))+Temperature of Bulk Fluid

Temperature of Body by Lumped Heat Capacity Method

Go Temperature at Any Time T = (exp((-Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object)) )*(Initial Temperature of Object-Temperature of Bulk Fluid)+Temperature of Bulk Fluid

Time Taken by Object for Heating or Cooling by Lumped Heat Capacity Method

Go Time Constant = ((-Density of Body*Specific Heat Capacity*Volume of Object)/(Heat Transfer Coefficient*Surface Area for Convection))*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))

Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid at Surface

Go Temperature at Any Time T = Initial Temperature of Solid+(Heat Energy/(Area*Density of Body*Specific Heat Capacity*(pi*Thermal Diffusivity*Time Constant)^(0.5)))

Fourier Number given Heat Transfer Coefficient and Time Constant

Go Fourier Number = (Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object*Biot Number)

Biot Number given Heat Transfer Coefficient and Time Constant

Go Biot Number = (Heat Transfer Coefficient*Surface Area for Convection*Time Constant)/(Density of Body*Specific Heat Capacity*Volume of Object*Fourier Number)

Fourier Number using Biot Number

Go Fourier Number = (-1/(Biot Number))*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))

Biot Number using Fourier Number

Go Biot Number = (-1/Fourier Number)*ln((Temperature at Any Time T-Temperature of Bulk Fluid)/(Initial Temperature of Object-Temperature of Bulk Fluid))

Biot Number given Characteristic Dimension and Fourier Number

Go Biot Number = (Heat Transfer Coefficient*Time Constant)/(Density of Body*Specific Heat Capacity*Characteristic Dimension*Fourier Number)

Fourier Number given Characteristic Dimension and Biot Number

Go Fourier Number = (Heat Transfer Coefficient*Time Constant)/(Density of Body*Specific Heat Capacity*Characteristic Dimension*Biot Number)

Initial Internal Energy Content of Body in Reference to Environment Temperature

Go Initial Energy Content = Density of Body*Specific Heat Capacity*Volume of Object*(Initial Temperature of Solid-Ambient Temperature)

Fourier Number using Thermal Conductivity

Go Fourier Number = ((Thermal Conductivity*Characteristic Time)/(Density of Body*Specific Heat Capacity*(Characteristic Dimension^2)))

Time Constant of Thermal System

Go Time Constant = (Density of Body*Specific Heat Capacity*Volume of Object)/(Heat Transfer Coefficient*Surface Area for Convection)

Capacitance of Thermal System by Lumped Heat Capacity Method

Go Capacitance of Thermal System = Density of Body*Specific Heat Capacity*Volume of Object

Fourier Number

Go Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2)

Biot Number using Heat Transfer Coefficient

Go Biot Number = (Heat Transfer Coefficient*Thickness of Wall )/Thermal Conductivity

Thermal Conductivity given Biot Number

Go Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number

Thermal Conductivity given Biot Number Formula

Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number
k = (h*𝓁 )/Bi

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.

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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 Thermal Conductivity given Biot Number?

Thermal Conductivity given Biot Number calculator uses Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number to calculate the Thermal Conductivity, The Thermal Conductivity given Biot Number formula is defined as the function of heat transfer coefficient and thickness of wall. Biot number is the ratio of internal conductive resistance within the body to the external convective resistance at the surface of the body. This number gives the relation between internal resistance and external resistance for heat transfer. This equation is recognized by the name of French physicist Jean Baptiste Biot. Thermal Conductivity is denoted by k symbol.

How to calculate Thermal Conductivity given Biot Number using this online calculator? To use this online calculator for Thermal Conductivity given Biot Number, enter Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Biot Number (Bi) and hit the calculate button. Here is how the Thermal Conductivity given Biot Number calculation can be explained with given input values -> 1.834254 = (10*4.98 )/27.15.

FAQ

What is Thermal Conductivity given Biot Number?

The Thermal Conductivity given Biot Number formula is defined as the function of heat transfer coefficient and thickness of wall. Biot number is the ratio of internal conductive resistance within the body to the external convective resistance at the surface of the body. This number gives the relation between internal resistance and external resistance for heat transfer. This equation is recognized by the name of French physicist Jean Baptiste Biot and is represented as k = (h*𝓁 )/Bi or Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number. 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, The thickness of Wall refers to the distance between one surface of your model and its opposite sheer surface. Wall thickness is defined as the minimum thickness your model should have at any time & Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

How to calculate Thermal Conductivity given Biot Number?

The Thermal Conductivity given Biot Number formula is defined as the function of heat transfer coefficient and thickness of wall. Biot number is the ratio of internal conductive resistance within the body to the external convective resistance at the surface of the body. This number gives the relation between internal resistance and external resistance for heat transfer. This equation is recognized by the name of French physicist Jean Baptiste Biot is calculated using Thermal Conductivity = (Heat Transfer Coefficient*Thickness of Wall )/Biot Number. To calculate Thermal Conductivity given Biot Number, you need Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Biot Number (Bi). With our tool, you need to enter the respective value for Heat Transfer Coefficient, Thickness of Wall & Biot Number 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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