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Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Formula

GoRatio of temperature difference for given time elapsed Formula

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Temperature Ratio is the ratio of temperatures at different instances of any process or environment. Check FAQs

T ratio = \exp (- (Bi \cdot Fo))

T_ratio - Temperature Ratio?Bi - Biot Number?Fo - Fourier Number?

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Example

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Here is how the Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number equation looks like with Values.

Here is how the Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number equation looks like with Units.

Here is how the Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number equation looks like.

0.9938 = \exp (- (0.0124 \cdot 0.5))

0.9938 = \exp (- (0.0124 \cdot 0.5))

0.9938 = \exp (- (0.0124 \cdot 0.5))

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Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Solution

Follow our step by step solution on how to calculate Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number?

FIRST Step Consider the formula

T ratio = \exp (- (Bi \cdot Fo))

Next Step Substitute values of Variables

∴

T ratio = \exp (- (0.0124 \cdot 0.5))

Next Step Prepare to Evaluate

∴

T ratio = \exp (- (0.0124 \cdot 0.5))

Next Step Evaluate

∴

T ratio = 0.993797316558693

LAST Step Rounding Answer

∴

T ratio = 0.9938

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Formula Elements

Variables

Functions

Temperature Ratio

Temperature Ratio is the ratio of temperatures at different instances of any process or environment.

Symbol: T_ratio

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Temperature Ratio

Biot Number

Biot Number is a dimensionless quantity having the ratio of internal conduction resistance to the surface convection resistance.

Symbol: Bi

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Biot Number

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.

Symbol: Fo

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fourier Number

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Temperature Ratio

Go Ratio of temperature difference for given time elapsed

T ratio = \exp (- \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o})

Other formulas in Transient Heat Conduction category

Go Instantaneous heat transfer rate

Q rate = h \cdot A \cdot (T o - t f) \cdot (\exp (- \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}))

Go Total Heat Transfer during Time Interval

Q = ρ \cdot c \cdot V T \cdot (T o - t f) \cdot (1 - (\exp (- (Bi \cdot Fo))))

Go Time Constant in unsteady state heat transfer

T c = \frac{ρ \cdot C o \cdot V T}{h \cdot A}

Go Power on exponential of temperature-time relation

b = - \frac{h \cdot A \cdot t}{ρ \cdot V T \cdot C o}

How to Evaluate Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number?

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number evaluator uses Temperature Ratio = exp(-(Biot Number*Fourier Number)) to evaluate the Temperature Ratio, The Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number formula calculates the temperature ratio present in the temperature-time relationship for the lumped body when the Biot Number and Fourier Number are present. Temperature Ratio is denoted by T_ratio symbol.

How to evaluate Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number using this online evaluator? To use this online evaluator for Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number, enter Biot Number (Bi) & Fourier Number (Fo) and hit the calculate button.

FAQs on Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number

What is the formula to find Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number?

The formula of Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number is expressed as Temperature Ratio = exp(-(Biot Number*Fourier Number)). Here is an example- 0.993797 = exp(-(0.012444*0.5)).

How to calculate Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number?

With Biot Number (Bi) & Fourier Number (Fo) we can find Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number using the formula - Temperature Ratio = exp(-(Biot Number*Fourier Number)). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Temperature Ratio?

Here are the different ways to Calculate Temperature Ratio-

Temperature Ratio=exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity))

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Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Formula

​GoRatio of temperature difference for given time elapsed Formula

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Example

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Solution

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number Formula Elements

Other Formulas to find Temperature Ratio

Other formulas in Transient Heat Conduction category

How to Evaluate Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number?

FAQs on Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number

Variable Name

GoRatio of temperature difference for given time elapsed Formula