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Thermal time constant Formula

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Thermal Time Constant refers to the time it takes for a system or material to reach a certain percentage (usually 63.2%) of its final temperature after experiencing a change in heat input. Check FAQs

𝜏 = \frac{k \cdot m}{A \cdot h coeff}

𝜏 - Thermal Time Constant?k - Specific Heat?m - Mass?A - Thermal Contact Area?h_coeff - Heat Transfer Coefficient?

Thermal time constant Example

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Here is how the Thermal time constant equation looks like with Values.

Here is how the Thermal time constant equation looks like with Units.

Here is how the Thermal time constant equation looks like.

9.8611 = \frac{35.5 \cdot 35}{10.5 \cdot 12}

9.8611s = \frac{35.5J/(kg*K) \cdot 35kg}{10.5m² \cdot 12W/m²*K}

9.8611 = \frac{35.5 \cdot 35}{10.5 \cdot 12}

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Thermal time constant Solution

Follow our step by step solution on how to calculate Thermal time constant?

FIRST Step Consider the formula

𝜏 = \frac{k \cdot m}{A \cdot h coeff}

Next Step Substitute values of Variables

∴

𝜏 = \frac{35.5J/(kg*K) \cdot 35kg}{10.5m² \cdot 12W/m²*K}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{35.5 \cdot 35}{10.5 \cdot 12}

Next Step Evaluate

∴

𝜏 = 9.86111111111111s

LAST Step Rounding Answer

∴

𝜏 = 9.8611s

Thermal time constant Formula Elements

Variables

Thermal Time Constant

Thermal Time Constant refers to the time it takes for a system or material to reach a certain percentage (usually 63.2%) of its final temperature after experiencing a change in heat input.

Symbol: 𝜏

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Thermal Time Constant

Specific Heat

Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: k

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

Note: Value should be greater than 0.

Formulas to find Specific Heat

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Thermal Contact Area

Thermal Contact Area is the interface region between two contacting surfaces where thermal conduction occurs.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Thermal Contact Area

Heat Transfer Coefficient

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.

Symbol: h_coeff

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Heat Transfer Coefficient

Other formulas in Temperature Measurement category

Go Heat Transfer Coefficient

h coeff = \frac{k \cdot m}{A \cdot 𝜏}

Go Area of thermal contact

A = \frac{k \cdot m}{h coeff \cdot 𝜏}

How to Evaluate Thermal time constant?

Thermal time constant evaluator uses Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient) to evaluate the Thermal Time Constant, The Thermal time constant formula is defined as the time required for a thermistor to change 63.2% of the total difference between its initial and final body temperature when subjected to a step function change in temperature, under zero power conditions. Thermal Time Constant is denoted by 𝜏 symbol.

How to evaluate Thermal time constant using this online evaluator? To use this online evaluator for Thermal time constant, enter Specific Heat (k), Mass (m), Thermal Contact Area (A) & Heat Transfer Coefficient (h_coeff) and hit the calculate button.

FAQs on Thermal time constant

What is the formula to find Thermal time constant?

The formula of Thermal time constant is expressed as Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient). Here is an example- 12.22222 = (35.5*35)/(10.5*12).

How to calculate Thermal time constant?

With Specific Heat (k), Mass (m), Thermal Contact Area (A) & Heat Transfer Coefficient (h_coeff) we can find Thermal time constant using the formula - Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient).

Can the Thermal time constant be negative?

No, the Thermal time constant, measured in Time cannot be negative.

Which unit is used to measure Thermal time constant?

Thermal time constant is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Thermal time constant can be measured.

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Thermal time constant Formula

Thermal time constant Example

Thermal time constant Solution

Thermal time constant Formula Elements

Other formulas in Temperature Measurement category

How to Evaluate Thermal time constant?

FAQs on Thermal time constant

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