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Time Constant in unsteady state heat transfer Formula

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Time Constant gives the time constant for a moving iron instrument-based ammeter. Check FAQs

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

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

Time Constant in unsteady state heat transfer Example

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Here is how the Time Constant in unsteady state heat transfer equation looks like with Values.

Here is how the Time Constant in unsteady state heat transfer equation looks like with Units.

Here is how the Time Constant in unsteady state heat transfer equation looks like.

1928.5 = \frac{5.51 \cdot 4 \cdot 63}{0.04 \cdot 18}

1928.5 = \frac{5.51kg/m³ \cdot 4J/(kg*K) \cdot 63m³}{0.04W/m²*K \cdot 18m²}

1928.5 = \frac{5.51 \cdot 4 \cdot 63}{0.04 \cdot 18}

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Time Constant in unsteady state heat transfer Solution

Follow our step by step solution on how to calculate Time Constant in unsteady state heat transfer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T c = \frac{5.51kg/m³ \cdot 4J/(kg*K) \cdot 63m³}{0.04W/m²*K \cdot 18m²}

Next Step Prepare to Evaluate

∴

T c = \frac{5.51 \cdot 4 \cdot 63}{0.04 \cdot 18}

LAST Step Evaluate

∴

T c = 1928.5

Time Constant in unsteady state heat transfer Formula Elements

Variables

Time Constant

Time Constant gives the time constant for a moving iron instrument-based ammeter.

Symbol: T_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Time Constant

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

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

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

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

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

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 Power on exponential of temperature-time relation

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

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

b = - (Bi \cdot Fo)

How to Evaluate Time Constant in unsteady state heat transfer?

Time Constant in unsteady state heat transfer evaluator uses Time Constant = (Density*Specific Heat Capacity*Total Volume)/(Convection Heat Transfer Coefficient*Surface Area) to evaluate the Time Constant, Time Constant in unsteady state heat transfer formula gives the value of time constant which is the time to reach the temperature gradient equals 63.21 % of the initial temperature gradient. Time Constant is denoted by T_c symbol.

How to evaluate Time Constant in unsteady state heat transfer using this online evaluator? To use this online evaluator for Time Constant in unsteady state heat transfer, enter Density (ρ), Specific Heat Capacity (C_o), Total Volume (V_T), Convection Heat Transfer Coefficient (h) & Surface Area (A) and hit the calculate button.

FAQs on Time Constant in unsteady state heat transfer

What is the formula to find Time Constant in unsteady state heat transfer?

The formula of Time Constant in unsteady state heat transfer is expressed as Time Constant = (Density*Specific Heat Capacity*Total Volume)/(Convection Heat Transfer Coefficient*Surface Area). Here is an example- 1928.5 = (5.51*4*63)/(0.04*18).

How to calculate Time Constant in unsteady state heat transfer?

With Density (ρ), Specific Heat Capacity (C_o), Total Volume (V_T), Convection Heat Transfer Coefficient (h) & Surface Area (A) we can find Time Constant in unsteady state heat transfer using the formula - Time Constant = (Density*Specific Heat Capacity*Total Volume)/(Convection Heat Transfer Coefficient*Surface Area).

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Time Constant in unsteady state heat transfer Formula

Time Constant in unsteady state heat transfer Example

Time Constant in unsteady state heat transfer Solution

Time Constant in unsteady state heat transfer Formula Elements

Other formulas in Transient Heat Conduction category

How to Evaluate Time Constant in unsteady state heat transfer?

FAQs on Time Constant in unsteady state heat transfer

Variable Name