How to Calculate and Solve for Sedimentation of Dilute Suspension | Rheology

Last Updated on January 24, 2021

The image above represents sedimentation of dilute suspension.

To compute for sedimentation of dilute suspension, four essential parameters are needed and these parameters are Change in Density between the Dispersed and Continuous Phase of the Suspension (ΔP), Acceleration due to Gravity (g), Particle Radius (a) and Viscosity of Continuous Phase (η).

The formula for calculating sedimentation of dilute suspension:

v = ^2ΔPga2 / _9η

Where:

v = Sedimentation of Dilute Suspension
ΔP = Change in Density between the Dispersed and Continuous Phase of the Suspension
g = Acceleration due to Gravity
a = Particle Radius
η = Viscosity of Continuous Phase

Let’s solve an example;
Find the sedimentation of dilute suspension when the change in density between the dispersed and continuous phase of the suspension is 10, the acceleration due to gravity is 9.8, particle radius is 22 and the viscosity of continuous phase is 11.

This implies that;

ΔP = Change in Density between the Dispersed and Continuous Phase of the Suspension = 10
g = Acceleration due to Gravity = 9.8
a = Particle Radius = 22
η = Viscosity of Continuous Phase = 11

v = ^2ΔPga2 / _9η
v = ^{2 x 10 x 9.8 x 222} / _{9 x 11}
v = ^{2 x 10 x 9.8 x 484} / ₉₉
v = ⁹⁴⁸⁶⁴ / ₉₉
v = 958.2

Therefore, the sedimentation of dilute suspension is 958.2.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the sedimentation of dilute suspension.

To get the answer and workings of the sedimentation of dilute suspension 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 Rheology under Materials and Metallurgical

Now, Click on Sedimentation of Dilute Suspension under Rheology

The screenshot below displays the page or activity to enter your values, to get the answer for the sedimentation of dilute suspension according to the respective parameters which is the Change in Density between the Dispersed and Continuous Phase of the Suspension (ΔP), Acceleration due to Gravity (g), Particle Radius (a) and Viscosity of Continuous Phase (η).

Now, enter the values appropriately and accordingly for the parameters as required by the Change in Density between the Dispersed and Continuous Phase of the Suspension (ΔP) is 10, Acceleration due to Gravity (g) is 9.8, Particle Radius (a) is 22 and Viscosity of Continuous Phase (η) is 11.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the sedimentation of dilute suspension and presents the formula, workings and steps too.