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 [c]			+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%
✖Area of Cross-Section is the enclosed surface area, product of length and breadth.ⓘ Area of Cross-Section [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%

✖Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.ⓘ Thermal time constant [𝜏]

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Formula

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Thermal time constant

Formula

`"𝜏" = ("c"*"m")/("A"*"h"_{"coeff"})`

Example

`"10.84985s"=("101J/(kg*K)"*"35.45kg")/("25m²"*"13.2W/m²*K")`

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Thermal time constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient)
𝜏 = (c*m)/(A*h_coeff)
This formula uses 5 Variables

Variables Used

Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.
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.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-Section is the enclosed surface area, product of length and breadth.
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: 101 Joule per Kilogram per K --> 101 Joule per Kilogram per K No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Area of Cross-Section: 25 Square Meter --> 25 Square Meter No Conversion Required
Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (c*m)/(A*h_coeff) --> (101*35.45)/(25*13.2)

Evaluating ... ...

𝜏 = 10.8498484848485

STEP 3: Convert Result to Output's Unit

10.8498484848485 Second --> No Conversion Required

FINAL ANSWER

10.8498484848485 ≈ 10.84985 Second <-- Time Constant

(Calculation completed in 00.004 seconds)

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< 25 Fundamental Parameters Calculators

Length of Pipe

Go Length = Diameter of Pipe*(2*Head Loss due to Friction*Earth’s Geocentric Gravitational Constant)/(Friction Factor*(Average Velocity^2))

Head Loss

Go Head Loss due to Friction = (Friction Factor*Length*(Average Velocity^2))/(2*Diameter of Pipe*Earth’s Geocentric Gravitational Constant)

Height of plates

Go Height = Difference in Liquid Level*(Capacitance with No Liquid*Magnetic Permeability)/(Capacitance-Capacitance with No Liquid)

Thickness of Spring

Go Thickness of Spring = (Flat Spiral Spring Controlling Torque*(12*Length)/(Youngs Modulus*Width of Spring)^-1/3)

Flat Spiral Spring Controlling Torque

Go Flat Spiral Spring Controlling Torque = (Youngs Modulus*Width of Spring*(Thickness of Spring^3))/(12*Length)

Youngs Modulus of Flat Spring

Go Youngs Modulus = Flat Spiral Spring Controlling Torque*(12*Length)/(Width of Spring*(Thickness of Spring^3))

Width of Spring

Go Width of Spring = (Flat Spiral Spring Controlling Torque*(12*Length)/(Youngs Modulus*Thickness of Spring^3))

Length of Spring

Go Length = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Flat Spiral Spring Controlling Torque*12

Distance between boundaries

Go Distance = (Coefficient of Velocity*Area of Cross-Section*Speed of Body)/Resisting Motion in fluid

Boundary area being moved

Go Area of Cross-Section = Resisting Motion in fluid*Distance/(Coefficient of Velocity*Speed of Body)

Torque of moving Coil

Go Torque on Coil = Flux Density*Current*Number of Turns in Coil*Area of Cross-Section*0.001

Weight of Air

Go Weight of Air = (Immersed Depth*Specific Weight*Area of Cross-Section)+Weight of Material

Heat Transfer Coefficient

Go Heat Transfer Coefficient = (Specific Heat*Mass)/(Area of Cross-Section*Time Constant)

Area of thermal contact

Go Area of Cross-Section = (Specific Heat*Mass)/(Heat Transfer Coefficient*Time Constant)

Thermal time constant

Go Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient)

Head Loss Due to Fitting

Go Head Loss due to Friction = (Eddy Loss Coefficient*Average Velocity)/(2*Earth’s Geocentric Gravitational Constant)

Maximum Fiber Stress in Flat Spring

Go Maximum Fiber Stress = (6*Flat Spiral Spring Controlling Torque)/(Width of Spring*Thickness of Spring^2)

Controlling Torque

Go Flat Spiral Spring Controlling Torque = Deflection of Pointer/Angle of Deflection of Galvanometer

Length of weighing platform

Go Length = (Weight of Material*Speed of Body)/Flow Rate

Angular Speed of Former

Go Angular Speed of Former = Linear Velocity of Former/(Breadth Of Former/2)

Angular Speed of Disc

Go Angular Speed of Disc = Damping Constant/Damping Torque

Average Velocity of System

Go Average Velocity = Flow Rate/Area of Cross-Section

Couple

Go Couple Moment = Force*Dynamic Viscosity of a Fluid

Weight on Force Sensor

Go Weight on Force Sensor = Weight of Material-Force

Weight of Displacer

Go Weight of Material = Weight on Force Sensor+Force

Thermal time constant Formula

Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient)
𝜏 = (c*m)/(A*h_coeff)

Is time constant in the universe?

Not only is the Earth not a fixed fulcrum around which the rest of the universe revolves, space and time themselves are not fixed and unchanging. In Einstein's universe, space and time are absorbed into a single, four-dimensional “spacetime,” and spacetime is not solid.

How to Calculate Thermal time constant?

Thermal time constant calculator uses Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient) to calculate the Time Constant, The Thermal time constant formula is defined as The technical definition of Thermal Time Constant is, "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". 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 (c), Mass (m), Area of Cross-Section (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 -> 10.84985 = (101*35.45)/(25*13.2).

FAQ

What is Thermal time constant?

The Thermal time constant formula is defined as The technical definition of Thermal Time Constant is, "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 = (c*m)/(A*h_coeff) or Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*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, Area of Cross-Section is the enclosed surface area, product of length and breadth & 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 technical definition of Thermal Time Constant is, "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 Time Constant = (Specific Heat*Mass)/(Area of Cross-Section*Heat Transfer Coefficient). To calculate Thermal time constant, you need Specific Heat (c), Mass (m), Area of Cross-Section (A) & Heat Transfer Coefficient (h_coeff). With our tool, you need to enter the respective value for Specific Heat, Mass, Area of Cross-Section & 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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