How to Calculate and Solve for Ratio of Linear Velocity of Gas | Fluidization

Last Updated on July 28, 2021

The image above represents ratio of linear velocity of gas.

To compute for ratio of linear velocity of gas, three essential parameters are needed and these parameters are Porosity (e), Bubble Velocity (u_b) and Sedimentation Velocity (u_c).

The formula for calculating ratio of linear velocity of gas:

α = e(^u_b/_uc)

Where:

α = Ratio of Linear Velocity of Gas
e = Porosity
u_b = Bubble Velocity
u_c = Sedimentation Velocity

Let’s solve an example;
Find the ratio of linear velocity of gas when the porosity is 8, the bubble velocity is 10 and the sedimentation velocity is 14.

This implies that;

e = Porosity = 8
u_b = Bubble Velocity = 10
u_c = Sedimentation Velocity = 14

α = e(^u_b/_uc)
α = 8(¹⁰/₁₄)
α = 8(0.714)
α = 5.71

Therefore, the ratio of linear velocity of gas is 5.71.

Calculating the Porosity when the Ratio of Linear Velocity of Gas, the Bubble Velocity and the Sedimentation Velocity is Given.

e = ^{α x u_c} / _ub

Where:

e = Porosity
α = Ratio of Linear Velocity of Gas
u_b = Bubble Velocity
u_c = Sedimentation Velocity

Let’s solve an example;
Find the porosity when the ratio of linear velocity of gas is 30, the bubble velocity is 5 and the sedimentation velocity is 3.

This implies that;

α = Ratio of Linear Velocity of Gas = 30
u_b = Bubble Velocity = 5
u_c = Sedimentation Velocity = 3

e = ^{α x u_c} / _ub
e = ^{30 x 3} / ₅
e = ⁹⁰ / ₅
e = 18

Therefore, the porosity is 18.

Calculating the Bubble Velocity when the Ratio of Linear Velocity of Gas, the Porosity and the Sedimentation Velocity is Given.

u_b = ^{α x u_c} / _e

Where:

u_b = Bubble Velocity
α = Ratio of Linear Velocity of Gas
e = Porosity
u_c = Sedimentation Velocity

Let’s solve an example;
Find the bubble velocity when the ratio of linear velocity of gas is 20, the porosity is 2 and the sedimentation velocity is 4.

This implies that;

α = Ratio of Linear Velocity of Gas = 20
e = Porosity = 2
u_c = Sedimentation Velocity = 4

u_b = ^{α x u_c} / _e
u_b = ^{20 x 4} / ₂
u_b = ⁸⁰ / ₂
u_b = 40

Therefore, the bubble velocity is 40.

Calculating the Sedimentation Velocity when the Ratio of Linear Velocity of Gas, the Porosity and the Bubble Velocity is Given.

u_c = ^{u_b x e} / _α

Where:

u_c = Sedimentation Velocity
α = Ratio of Linear Velocity of Gas
e = Porosity
u_b = Bubble Velocity

Let’s solve an example;
Find the sedimentation velocity when the ratio of linear velocity of gas is 10, the porosity is 9 and the bubble velocity is 6.

This implies that;

α = Ratio of Linear Velocity of Gas = 10
e = Porosity = 9
u_b = Bubble Velocity = 6

u_c = ^{u_b x e} / _α
u_c = ^{6 x 9} / ₁₀
u_c = ⁵⁴ / ₁₀
u_c = 5.4

Therefore, the sedimentation velocity is 5.4.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the ratio of linear velocity of gas.

Now, Click on Fluidization under Materials and Metallurgical

Now, Click on Ratio of Linear Velocity of Gas under Fluidization

The screenshot below displays the page or activity to enter your values, to get the answer for the ratio of linear velocity of gas according to the respective parameter which is the Porosity (e), Bubble Velocity (u_b) and Sedimentation Velocity (u_c).

Now, enter the values appropriately and accordingly for the parameters as required by the Porosity (e) is 8, Bubble Velocity (u_b) is 10 and Sedimentation Velocity (u_c) is 14.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the ratio of linear velocity of gas and presents the formula, workings and steps too.