Power on Exponential of Temperature-time Relation given Biot and Fourier Number Calculator

✖Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.ⓘ Biot Number [Bi]			+10% -10%
✖Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter.ⓘ Fourier Number [Fo]			+10% -10%

✖Constant B is the number that has a fixed value in a given situation or universally or that is characteristic of some substance or instrument.ⓘ Power on Exponential of Temperature-time Relation given Biot and Fourier Number [b]

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Power on Exponential of Temperature-time Relation given Biot and Fourier Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant B = -(Biot Number*Fourier Number)
b = -(Bi*Fo)
This formula uses 3 Variables

Variables Used

Constant B - Constant B is the number that has a fixed value in a given situation or universally or that is characteristic of some substance or instrument.
Biot Number - Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.
Fourier Number - Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter.

STEP 1: Convert Input(s) to Base Unit

Biot Number: 0.012444 --> No Conversion Required
Fourier Number: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = -(Bi*Fo) --> -(0.012444*0.5)

Evaluating ... ...

b = -0.006222

STEP 3: Convert Result to Output's Unit

-0.006222 --> No Conversion Required

FINAL ANSWER

-0.006222 <-- Constant B

(Calculation completed in 00.004 seconds)

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< Transient Heat Conduction Calculators

Instantaneous heat transfer rate

LaTeX Go Heat Rate = Convection Heat Transfer Coefficient*Surface Area*(Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)))

Total Heat Transfer during Time Interval

LaTeX Go Heat Transfer = Density*Specific Heat*Total Volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number))))

Power on exponential of temperature-time relation

LaTeX Go Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)

Time Constant in unsteady state heat transfer

LaTeX Go Time Constant = (Density*Specific Heat Capacity*Total Volume)/(Convection Heat Transfer Coefficient*Surface Area)

Power on Exponential of Temperature-time Relation given Biot and Fourier Number Formula

LaTeX Go

Constant B = -(Biot Number*Fourier Number)
b = -(Bi*Fo)

What is Temperature-Time relation?

The temperature-time relationship of unsteady-state heat transfer helps to determine the rate of heat transfer that has been conducted in the lumped system in a given time period.

How to Calculate Power on Exponential of Temperature-time Relation given Biot and Fourier Number?

Power on Exponential of Temperature-time Relation given Biot and Fourier Number calculator uses Constant B = -(Biot Number*Fourier Number) to calculate the Constant B, The Power on Exponential of Temperature-time Relation given Biot and Fourier Number formula calculates the power on the exponential term in temperature-time relation of the lumped body when the Biot Number and Fourier Number are present. Constant B is denoted by b symbol.

How to calculate Power on Exponential of Temperature-time Relation given Biot and Fourier Number using this online calculator? To use this online calculator for Power on Exponential of Temperature-time Relation given Biot and Fourier Number, enter Biot Number (Bi) & Fourier Number (Fo) and hit the calculate button. Here is how the Power on Exponential of Temperature-time Relation given Biot and Fourier Number calculation can be explained with given input values -> -0.4 = -(0.012444*0.5).

FAQ

What is Power on Exponential of Temperature-time Relation given Biot and Fourier Number?

The Power on Exponential of Temperature-time Relation given Biot and Fourier Number formula calculates the power on the exponential term in temperature-time relation of the lumped body when the Biot Number and Fourier Number are present and is represented as b = -(Bi*Fo) or Constant B = -(Biot Number*Fourier Number). Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance & Fourier Number is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may be either heat or matter.

How to calculate Power on Exponential of Temperature-time Relation given Biot and Fourier Number?

The Power on Exponential of Temperature-time Relation given Biot and Fourier Number formula calculates the power on the exponential term in temperature-time relation of the lumped body when the Biot Number and Fourier Number are present is calculated using Constant B = -(Biot Number*Fourier Number). To calculate Power on Exponential of Temperature-time Relation given Biot and Fourier Number, you need Biot Number (Bi) & Fourier Number (Fo). With our tool, you need to enter the respective value for Biot Number & Fourier Number 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 Constant B?

In this formula, Constant B uses Biot Number & Fourier Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity)

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