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Power on exponential of temperature-time relation Formula

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

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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. Check FAQs

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

b - Constant B?h - Convection Heat Transfer Coefficient?A - Surface Area?t - Time Elapsed?ρ - Density?V_T - Total Volume?C_o - Specific Heat Capacity?

Power on exponential of temperature-time relation Example

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Here is how the Power on exponential of temperature-time relation equation looks like with Values.

Here is how the Power on exponential of temperature-time relation equation looks like with Units.

Here is how the Power on exponential of temperature-time relation equation looks like.

-0.0062 = - \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

-0.0062 = - \frac{0.04W/m²*K \cdot 18m² \cdot 12s}{5.51kg/m³ \cdot 63m³ \cdot 4J/(kg*K)}

-0.0062 = - \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

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Power on exponential of temperature-time relation Solution

Follow our step by step solution on how to calculate Power on exponential of temperature-time relation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = - \frac{0.04W/m²*K \cdot 18m² \cdot 12s}{5.51kg/m³ \cdot 63m³ \cdot 4J/(kg*K)}

Next Step Prepare to Evaluate

∴

b = - \frac{0.04 \cdot 18 \cdot 12}{5.51 \cdot 63 \cdot 4}

Next Step Evaluate

∴

b = -0.00622245268343272

LAST Step Rounding Answer

∴

b = -0.0062

Power on exponential of temperature-time relation Formula Elements

Variables

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.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant B

Open Variable

Convection Heat Transfer Coefficient

Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.

Symbol: h

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Convection Heat Transfer Coefficient

Open Variable

Surface Area

The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area

Open Variable

Time Elapsed

Time Elapsed after a particular task is started.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Elapsed

Open Variable

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Open Variable

Total Volume

Total Volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.

Symbol: V_T

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Total Volume

Open Variable

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: C_o

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Open Variable

Credits

Creator Image

Created by Ravi Khiyani

Indian Institute of Technology, Madras (IIT Madras), Chennai

Ravi Khiyani has created this Formula and 200+ more formulas!

Verifier Image

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Constant B

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

b = - (Bi \cdot Fo)

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))))

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How to Evaluate Power on exponential of temperature-time relation?

Power on exponential of temperature-time relation evaluator uses Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity) to evaluate the Constant B, Power on exponential of temperature-time relation formula calculates the value of power on exponential in the equation which makes the further calculation of lumped system easy. Constant B is denoted by b symbol.

How to evaluate Power on exponential of temperature-time relation using this online evaluator? To use this online evaluator for Power on exponential of temperature-time relation, enter Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o) and hit the calculate button.

FAQs on Power on exponential of temperature-time relation

What is the formula to find Power on exponential of temperature-time relation?

The formula of Power on exponential of temperature-time relation is expressed as Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity). Here is an example- -0.006222 = -(0.04*18*12)/(5.51*63*4).

How to calculate Power on exponential of temperature-time relation?

With Convection Heat Transfer Coefficient (h), Surface Area (A), Time Elapsed (t), Density (ρ), Total Volume (V_T) & Specific Heat Capacity (C_o) we can find Power on exponential of temperature-time relation using the formula - Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total Volume*Specific Heat Capacity).

What are the other ways to Calculate Constant B?

Here are the different ways to Calculate Constant B-

Constant B=-(Biot Number*Fourier Number)

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