How to Calculate and Solve for Thermal Conductivity | Heat Capacity per Unit Volume | Energy Transport
Last Updated on September 23, 2021
The image above represents thermal conductivity.
To compute for thermal conductivity, three essential parameters are needed and these parameters are Heat Capacity at Constant Volume (cv), Velocity of Fluid Flow (v’) and Wavelength of Flow (λ).
The formula for calculating thermal conductivity:
k = cvv’λ / 3
Where:
k = Thermal Conductivity | Heat Capacity per Unit Volume
cv = Heat Capacity at Constant Volume
v’ = Velocity of Fluid Flow
λ = Wavelength of Flow
Let’s solve an example;
Find the thermal conductivity when the heat capacity at constant volume is 21, the velocity of fluid flow is 14 and the wavelength of flow is 10.
This implies that;
cv = Heat Capacity at Constant Volume = 21
v’ = Velocity of Fluid Flow = 14
λ = Wavelength of Flow = 10
k = cvv’λ / 3
k = (21)(14)(10) / 3
k = 2940 / 3
k = 980
Therefore, the thermal conductivity is 980 W/mK.
Calculating the Heat Capacity at Constant Volume when the Thermal Conductivity, the Velocity of Fluid Flow and the Wavelength of Flow is Given.
cv = k3 / v’λ
Where:
cv = Heat Capacity at Constant Volume
k = Thermal Conductivity | Heat Capacity per Unit Volume
v’ = Velocity of Fluid Flow
λ = Wavelength of Flow
Let’s solve an example;
Find the heat at capacity at constant volume when the thermal conductivity is 12, the velocity of fluid flow is 2 and the wavelength of flow is 4.
This implies that;
k = Thermal Conductivity | Heat Capacity per Unit Volume = 12
v’ = Velocity of Fluid Flow = 2
λ = Wavelength of Flow = 4
cv = k3 / v’λ
cv = (12)3 / (2)(4)
cv = 36 / 8
cv = 4.5
Therefore, the heat capacity at constant volume is 4.5.
Calculating the Velocity of Fluid Flow when the Thermal Conductivity, the Heat Capacity at Constant Volume and the Wavelength of Flow is Given.
v’ = k3 / cvλ
Where:
v’ = Velocity of Fluid Flow
k = Thermal Conductivity | Heat Capacity per Unit Volume
cv = Heat Capacity at Constant Volume
λ = Wavelength of Flow
Let’s solve an example;
Find the velocity of fluid flow when the thermal conductivity is 15, the heat capacity at constant volume is 8 and the wavelength of flow is 3.
This implies that;
k = Thermal Conductivity | Heat Capacity per Unit Volume = 15
cv = Heat Capacity at Constant Volume = 8
λ = Wavelength of Flow = 3
v’ = k3 / cvλ
v’ = (15)3 / (8)(3)
v’ = 45 / 24
v’ = 1.875
Therefore, the velocity of fluid flow is 1.875.
Calculating the Wavelength of Flow when the Thermal Conductivity, the Heat Capacity at Constant Volume and the Velocity of Fluid Flow is Given.
λ = k3 / cvv’
Where:
λ = Wavelength of Flow
k = Thermal Conductivity | Heat Capacity per Unit Volume
cv = Heat Capacity at Constant Volume
v’ = Velocity of Fluid Flow
Let’s solve an example;
Find the wavelength of flow when the thermal conductivity is 10, the heat capacity at constant volume is 5 and the velocity of fluid flow is 2.
This implies that;
k = Thermal Conductivity | Heat Capacity per Unit Volume = 10
cv = Heat Capacity at Constant Volume = 5
v’ = Velocity of Fluid Flow = 2
λ = k3 / cvv’
λ = (10)3 / (5)(2)
λ = 30 / 10
λ = 3
Therefore, the wavelength of flow is 3.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the thermal conductivity.
To get the answer and workings of the thermal conductivity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Energy Transport under Materials and Metallurgical
Now, Click on Thermal Conductivity | Heat Capacity per Unit Volume under Energy Transport
The screenshot below displays the page or activity to enter your values, to get the answer for the thermal conductivity according to the respective parameter which is the Heat Capacity at Constant Volume (cv), Velocity of Fluid Flow (v’) and Wavelength of Flow (λ).
Now, enter the values appropriately and accordingly for the parameters as required by the Heat Capacity at Constant Volume (cv) is 21, Velocity of Fluid Flow (v’) is 14 and Wavelength of Flow (λ) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the thermal conductivity and presents the formula, workings and steps too.
