Thermal Diffusivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity)
α = k/(ρ*Co)
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*Co) --> 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)

Credits

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*Co)

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 (Co) 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*Co) 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 (Co). 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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