Thermal Diffusivity Calculator

✖Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.ⓘ Thermal Conductivity [k]			+10% -10%
✖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%

✖Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.ⓘ Thermal Diffusivity [α]

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Formula

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Thermal Diffusivity

Formula

`"α" = "k"/("ρ"*"C"_{"o"})`

Example

`"0.461887m²/s"="10.18W/(m*K)"/("5.51kg/m³"*"4J/(kg*K)")`

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Thermal Diffusivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)
α = k/(ρ*C_o)
This formula uses 4 Variables

Variables Used

Thermal Diffusivity - (Measured in Square Meter Per Second) - Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
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.

STEP 1: Convert Input(s) to Base Unit

Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = k/(ρ*C_o) --> 10.18/(5.51*4)

Evaluating ... ...

α = 0.461887477313975

STEP 3: Convert Result to Output's Unit

0.461887477313975 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.461887477313975 ≈ 0.461887 Square Meter Per Second <-- Thermal Diffusivity

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Conduction » Transient Heat Conduction » Thermal Diffusivity

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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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)

< 13 Basics of Modes of Heat Transfer Calculators

Thermal Resistance of Spherical Wall

Go Thermal Resistance of Sphere Without Convection = (Radius of 2nd Concentric Sphere-Radius of 1st Concentric Sphere)/(4*pi*Thermal Conductivity*Radius of 1st Concentric Sphere*Radius of 2nd Concentric Sphere)

Radiation Thermal Resistance

Go Thermal Resistance = 1/(Emissivity*[Stefan-BoltZ]*Base Area*(Temperature of Surface 1+Temperature of Surface 2)*(((Temperature of Surface 1)^2)+((Temperature of Surface 2)^2)))

Radial Heat Flowing through Cylinder

Go Heat = Thermal Conductivity*2*pi*Temperature Difference*Length of Cylinder/(ln(Outer Radius of Cylinder/Inner Radius of Cylinder))

Heat Transfer through Plane Wall or Surface

Go Heat Flow Rate = -Thermal Conductivity*Cross Sectional Area*(Outside Temperature-Inside Temperature)/Width of Plane Surface

Radiative Heat Transfer

Go Heat = [Stefan-BoltZ]*Body Surface Area*Geometric View Factor*(Temperature of Surface 1^4-Temperature of Surface 2^4)

Rate of Convective Heat Transfer

Go Heat Flow Rate = Heat Transfer Coefficient*Exposed Surface Area*(Surface Temperature-Ambient Air Temperature)

Total Emissive Power of Radiating Body

Go Emissive Power per Unit Area = (Emissivity*(Effective Radiating Temperature)^4)*[Stefan-BoltZ]

Thermal Diffusivity

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

Radiosity

Go Radiosity = Energy Leaving Surface/(Body Surface Area*Time in seconds)

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Co-efficient of Convective Heat Transfer)

Overall Heat Transfer based on Thermal Resistance

Go Overall Heat Transfer = Overall Temperature Difference/Total Thermal Resistance

Temperature Difference using Thermal Analogy to Ohm's Law

Go Temperature Difference = Heat Flow Rate*Thermal Resistance

Ohm's Law

Go Voltage = Electric Current*Resistance

Thermal Diffusivity Formula

Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)
α = k/(ρ*C_o)

What Is Thermal Diffusivity?

In heat transfer analysis, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat in a material from the hot end to the cold end.

How to Calculate Thermal Diffusivity?

Thermal Diffusivity calculator uses Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity) to calculate the Thermal Diffusivity, Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat in a material from the hot end to the cold end. Thermal Diffusivity is denoted by α symbol.

How to calculate Thermal Diffusivity using this online calculator? To use this online calculator for Thermal Diffusivity, enter Thermal Conductivity (k), Density (ρ) & Specific Heat Capacity (C_o) and hit the calculate button. Here is how the Thermal Diffusivity calculation can be explained with given input values -> 0.461887 = 10.18/(5.51*4).

FAQ

What is Thermal Diffusivity?

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat in a material from the hot end to the cold end and is represented as α = k/(ρ*C_o) or Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity). Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance, 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.

How to calculate Thermal Diffusivity?

Thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat in a material from the hot end to the cold end is calculated using Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity). To calculate Thermal Diffusivity, you need Thermal Conductivity (k), Density (ρ) & Specific Heat Capacity (C_o). With our tool, you need to enter the respective value for Thermal Conductivity, Density & Specific Heat Capacity 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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