Time Constant in unsteady state heat transfer Calculator

✖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.ⓘ Density [ρ]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [C_o]			+10% -10%
✖Total volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Total volume [V_T]			+10% -10%
✖Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.ⓘ Convection Heat Transfer Coefficient [h]			+10% -10%
✖The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.ⓘ Surface Area [A]			+10% -10%

✖Time Constant gives the time constant for a moving iron instrument based ammeter.ⓘ Time Constant in unsteady state heat transfer [T_c]

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Formula

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Time Constant in unsteady state heat transfer

Formula

`"T"_{"c"} = ("ρ"*"C"_{"o"}*"V"_{"T"})/("h"*"A")`

Example

`"1928.5"=("5.51kg/m³"*"4J/(kg*K)"*"63m³")/("0.04W/m²*K"*"18m²")`

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Time Constant in unsteady state heat transfer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area)
T_c = (ρ*C_o*V_T)/(h*A)
This formula uses 6 Variables

Variables Used

Time Constant - Time Constant gives the time constant for a moving iron instrument based ammeter.
Density - (Measured in Kilogram per Cubic Meter) - 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.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Total volume - (Measured in Cubic Meter) - Total volume is the overall amount of space that a substance or object occupies or that is enclosed within a container.
Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature.
Surface Area - (Measured in Square Meter) - The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

STEP 1: Convert Input(s) to Base Unit

Density: 5.51 Kilogram per Cubic Meter --> 5.51 Kilogram per Cubic Meter No Conversion Required
Specific Heat Capacity: 4 Joule per Kilogram per K --> 4 Joule per Kilogram per K No Conversion Required
Total volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Convection Heat Transfer Coefficient: 0.04 Watt per Square Meter per Kelvin --> 0.04 Watt per Square Meter per Kelvin No Conversion Required
Surface Area: 18 Square Meter --> 18 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = (ρ*C_o*V_T)/(h*A) --> (5.51*4*63)/(0.04*18)

Evaluating ... ...

T_c = 1928.5

STEP 3: Convert Result to Output's Unit

1928.5 --> No Conversion Required

FINAL ANSWER

1928.5 <-- Time Constant

(Calculation completed in 00.004 seconds)

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< 13 Transient Heat Conduction Calculators

Instantaneous heat transfer rate

Go Heat Rate = Convection Heat Transfer Coefficient*Surface Area*(Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total volume*Specific Heat Capacity)))

Temperature after given time elapsed

Go Temperature = ((Initial Temperature-Fluid Temperature)*(exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total volume*Specific Heat Capacity))))+Fluid Temperature

Time taken to reach given temperature

Go Time Elapsed = ln((Final Temperature-Fluid Temperature)/(Initial Temperature-Fluid Temperature))*((Density*Total volume*Specific Heat)/(Convection Heat Transfer Coefficient*Surface Area))

Change in Internal energy of Lumped body

Go Change in Internal Energy = Density*Specific Heat*Total volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number))))

Total Heat Transfer during Time Interval

Go Heat Transfer = Density*Specific Heat*Total volume*(Initial Temperature-Fluid Temperature)*(1-(exp(-(Biot Number*Fourier Number))))

Ratio of temperature difference for given time elapsed

Go Temperature Ratio = exp(-(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total volume*Specific Heat Capacity))

Product of Biot and Fourier Number given System Properties

Go Product of Biot And Fourier Numbers = (Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total volume*Specific Heat Capacity)

Power on exponential of temperature-time relation

Go Constant B = -(Convection Heat Transfer Coefficient*Surface Area*Time Elapsed)/(Density*Total volume*Specific Heat Capacity)

Time Constant in unsteady state heat transfer

Go Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area)

Thermal Diffusivity

Go Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)

Thermal Capacitance

Go Thermal Capacitance = Density*Specific Heat Capacity*Volume

Ratio of Temperature difference for Time Elapsed given Biot and Fourier Number

Go Temperature Ratio = exp(-(Biot Number*Fourier Number))

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

Go Constant B = -(Biot Number*Fourier Number)

Time Constant in unsteady state heat transfer Formula

Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area)
T_c = (ρ*C_o*V_T)/(h*A)

What is Time Constant?

The time constant is the time to reach the temperature gradient equals 63.21 % of the initial temperature gradient. It indicates the response of the system or object to the change in the surrounding temperature. The system with a higher value of time constant takes much time to achieve temperature change.

How to Calculate Time Constant in unsteady state heat transfer?

Time Constant in unsteady state heat transfer calculator uses Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area) to calculate 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 calculate Time Constant in unsteady state heat transfer using this online calculator? To use this online calculator 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. Here is how the Time Constant in unsteady state heat transfer calculation can be explained with given input values -> 1928.5 = (5.51*4*63)/(0.04*18).

FAQ

What is Time Constant in unsteady state heat transfer?

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 and is represented as T_c = (ρ*C_o*V_T)/(h*A) or Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area). 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, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, Total volume is the overall amount of space that a substance or object occupies or that is enclosed within a container, Convection Heat Transfer Coefficient is the rate of heat transfer between a solid surface and a fluid per unit surface area per unit temperature & The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.

How to calculate Time Constant in unsteady state heat transfer?

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 is calculated using Time Constant = (Density*Specific Heat Capacity*Total volume)/(Convection Heat Transfer Coefficient*Surface Area). To calculate Time Constant in unsteady state heat transfer, you need Density (ρ), Specific Heat Capacity (C_o), Total volume (V_T), Convection Heat Transfer Coefficient (h) & Surface Area (A). With our tool, you need to enter the respective value for Density, Specific Heat Capacity, Total volume, Convection Heat Transfer Coefficient & Surface Area 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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