Biot Number using Heat Transfer Coefficient 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%
✖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 [k]			+10% -10%

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

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Formula

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Biot Number using Heat Transfer Coefficient

Formula

`"Bi" = ("h"*"𝓁")/"k"`

Example

`"23.16279"=("10W/m²*K"*"4.98m")/"2.15W/(m*K)"`

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Biot Number using Heat Transfer Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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
Thermal Conductivity: 2.15 Watt per Meter per K --> 2.15 Watt per Meter per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Bi = (h*𝓁)/k --> (10*4.98)/2.15

Evaluating ... ...

Bi = 23.1627906976744

STEP 3: Convert Result to Output's Unit

23.1627906976744 --> No Conversion Required

FINAL ANSWER

23.1627906976744 ≈ 23.16279 <-- Biot Number

(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))

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))

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

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

Biot Number using Heat Transfer Coefficient Formula

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

What is Unsteady State Heat Transfer?

Unsteady State Heat Transfer refers to the heat transfer process in which a system's temperature changes with time. This type of heat transfer can happen in different forms, such as conduction, convection, and radiation. It occurs in various systems, including solid materials, fluids, and gases. The heat transfer rate in an unsteady state is directly proportional to the rate of temperature change. This means that the heat transfer rate is not constant and can vary over time. It's an important aspect in the design and optimization of thermal systems, and understanding this process is crucial in many research areas, such as combustion, electronics, and aerospace.

What is Lumped Parameter Model?

Interior temperatures of some bodies remain essentially uniform at all times during a heat transfer process. The temperature of such bodies are only a function of time, T = T(t). The heat transfer analysis based on this idealization is called lumped system analysis.

How to Calculate Biot Number using Heat Transfer Coefficient?

Biot Number using Heat Transfer Coefficient calculator uses Biot Number = (Heat Transfer Coefficient*Thickness of Wall)/Thermal Conductivity to calculate the Biot Number, The Biot Number using Heat Transfer Coefficient formula is defined as the ratio of Internal conduction resistance to the external convection resistance. Biot Number is denoted by Bi symbol.

How to calculate Biot Number using Heat Transfer Coefficient using this online calculator? To use this online calculator for Biot Number using Heat Transfer Coefficient, enter Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Thermal Conductivity (k) and hit the calculate button. Here is how the Biot Number using Heat Transfer Coefficient calculation can be explained with given input values -> 23.16279 = (10*4.98)/2.15.

FAQ

What is Biot Number using Heat Transfer Coefficient?

The Biot Number using Heat Transfer Coefficient formula is defined as the ratio of Internal conduction resistance to the external convection resistance and is represented as Bi = (h*𝓁)/k or Biot Number = (Heat Transfer Coefficient*Thickness of Wall)/Thermal Conductivity. 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 & 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.

How to calculate Biot Number using Heat Transfer Coefficient?

The Biot Number using Heat Transfer Coefficient formula is defined as the ratio of Internal conduction resistance to the external convection resistance is calculated using Biot Number = (Heat Transfer Coefficient*Thickness of Wall)/Thermal Conductivity. To calculate Biot Number using Heat Transfer Coefficient, you need Heat Transfer Coefficient (h), Thickness of Wall (𝓁) & Thermal Conductivity (k). With our tool, you need to enter the respective value for Heat Transfer Coefficient, Thickness of Wall & Thermal Conductivity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Biot Number?

In this formula, Biot Number uses Heat Transfer Coefficient, Thickness of Wall & Thermal Conductivity. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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