Thermal time constant Calculator

✖Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat [k]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+10% -10%
✖Thermal Contact Area is the interface region between two contacting surfaces where thermal conduction occurs.ⓘ Thermal Contact Area [A]			+10% -10%
✖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.ⓘ Heat Transfer Coefficient [h_coeff]			+10% -10%

✖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.ⓘ Thermal time constant [𝜏]

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Thermal time constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient)
𝜏 = (k*m)/(A*h_coeff)
This formula uses 5 Variables

Variables Used

Thermal Time Constant - (Measured in Second) - 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.
Specific Heat - (Measured in Joule per Kilogram per K) - Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Thermal Contact Area - (Measured in Square Meter) - Thermal Contact Area is the interface region between two contacting surfaces where thermal conduction occurs.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat: 35.5 Joule per Kilogram per K --> 35.5 Joule per Kilogram per K No Conversion Required
Mass: 35 Kilogram --> 35 Kilogram No Conversion Required
Thermal Contact Area: 10.5 Square Meter --> 10.5 Square Meter No Conversion Required
Heat Transfer Coefficient: 12 Watt per Square Meter per Kelvin --> 12 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (k*m)/(A*h_coeff) --> (35.5*35)/(10.5*12)

Evaluating ... ...

𝜏 = 9.86111111111111

STEP 3: Convert Result to Output's Unit

9.86111111111111 Second --> No Conversion Required

FINAL ANSWER

9.86111111111111 ≈ 9.861111 Second <-- Thermal Time Constant

(Calculation completed in 00.021 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Temperature Measurement Calculators

Heat Transfer Coefficient

LaTeX Go Heat Transfer Coefficient = (Specific Heat*Mass)/(Thermal Contact Area*Thermal Time Constant)

Area of thermal contact

LaTeX Go Thermal Contact Area = (Specific Heat*Mass)/(Heat Transfer Coefficient*Thermal Time Constant)

Thermal time constant

LaTeX Go Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient)

Thermal time constant Formula

LaTeX Go

Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient)
𝜏 = (k*m)/(A*h_coeff)

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How to Calculate Thermal time constant?

Thermal time constant calculator uses Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient) to calculate 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 calculate Thermal time constant using this online calculator? To use this online calculator for Thermal time constant, enter Specific Heat (k), Mass (m), Thermal Contact Area (A) & Heat Transfer Coefficient (h_coeff) and hit the calculate button. Here is how the Thermal time constant calculation can be explained with given input values -> 12.22222 = (35.5*35)/(10.5*12).

FAQ

What is 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 and is represented as 𝜏 = (k*m)/(A*h_coeff) or Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient). Specific Heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Thermal Contact Area is the interface region between two contacting surfaces where thermal conduction occurs & 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.

How to calculate 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 is calculated using Thermal Time Constant = (Specific Heat*Mass)/(Thermal Contact Area*Heat Transfer Coefficient). To calculate Thermal time constant, you need Specific Heat (k), Mass (m), Thermal Contact Area (A) & Heat Transfer Coefficient (h_coeff). With our tool, you need to enter the respective value for Specific Heat, Mass, Thermal Contact Area & Heat Transfer Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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