The image above represents velocity of fine particles. To calculate velocity of fine particles, four essential parameters are needed and these parameters are **Constant for Fluid (k _{1}), Particle Diameter (d), Density of Solid Particle(s) (ρ_{s})** and

**Density of Fluid (ρ**

_{f}).**The formula for calculating the velocity of fine particles:**

v = k_{1}d²(ρ_{s} – ρ_{f})

Where:

v = Velocity of Fine Particles

k_{1} = Constant for Fluid

d = Particle Diameter

ρ_{s} = Density of Solid Particle(s)

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the velocity of fine particles when the constant for fluid is 12, the particle diameter is 8, the density of solid particle is 4 and the density of fluid is 10.

This implies that;

k_{1} = Constant for Fluid = 12

d = Particle Diameter = 8

ρ_{s} = Density of Solid Particle(s) = 4

ρ_{f} = Density of Fluid = 10

v = k_{1}d²(ρ_{s} – ρ_{f})

v = 12(8)²(4 – 10)

So, v = 12(64)(-6)

v = -4608

Therefore, the **velocity of fine particles **is **-4608 m/s.**

**Calculating the Constant for Fluid when the Velocity of Fine Particles, the Particle Diameter, the Density of Solid Particle and the Density of Fluid are Given**

k_{1} = ^{v} / _{d²(ρs – ρf)}

Where:

k_{1} = Constant for Fluid

v = Velocity of Fine Particles

d = Particle Diameter

ρ_{s} = Density of Solid Particle(s)

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the constant for fluid when the velocity of fine particles is 68, the particle diameter is 4, the density of solid particle is 10 and the density of fluid is 6.

This implies that;

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v = Velocity of Fine Particles = 68

d = Particle Diameter = 4

ρ_{s} = Density of Solid Particle(s) = 10

ρ_{f} = Density of Fluid = 6

k_{1} = ^{v} / _{d²(ρs – ρf)}

k_{1} = ^{68} / _{4²(10 – 6)}

That is, k_{1} = ^{68} / _{16(4)}

k_{1} = ^{68} / _{64}

k_{1} = 1.06

Therefore, the **constant for fluid **is **1.06.**

**Calculating the Particle Diameter when the Velocity of Fine Particles, the Constant for Fluid, the Density of Solid Particle and the Density of Fluid are Given**

d = √(^{v} / _{k1 (ρs – ρf)})

Where:

d = Particle Diameter

v = Velocity of Fine Particles

k_{1} = Constant for Fluid

ρ_{s} = Density of Solid Particle(s)

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the particle diameter when the velocity of fine particles is 88, the constant for fluid is 12, the density of solid particle is 8 and the density of fluid is 5.

This implies that;

v = Velocity of Fine Particles = 88

k_{1} = Constant for Fluid = 12

ρ_{s} = Density of Solid Particle(s) = 8

ρ_{f} = Density of Fluid = 5

d = √(^{v} / _{k1 (ρs – ρf)})

That is, d = √(^{88} / _{12 (8 – 5)})

d = √(^{88} / _{12 (3)})

d = √(^{88} / _{36})

So, d = √2.44

d = 1.56

Therefore, the **particle diameter **is **1.56.**

Read more: How to Calculate and Solve for Newton’s Drag Force for Turbulent Resistance | Mineral Processing

**Calculating the Density of Solid Particle when the Velocity of Fine Particles, the Constant for Fluid, the Particle Diameter and the Density of Fluid are Given**

ρ_{s} = (^{v} / _{k1d²}) + ρ_{f}

Where:

ρ_{s} = Density of Solid Particle(s)

v = Velocity of Fine Particles

k_{1} = Constant for Fluid

d = Particle Diameter

ρ_{f} = Density of Fluid

Let’s solve an example;

Find the density of solid particle when the velocity of fine particles is 24, the constant for fluid is 10, the particle diameter is 8, the density of fluid is 4.

This implies that;

v = Velocity of Fine Particles = 24

k_{1} = Constant for Fluid = 10

d = Particle Diameter = 8

ρ_{f} = Density of Fluid = 4

ρ_{s} = (^{v} / _{k1d²}) + ρ_{f}

That is, ρ_{s} = (^{24} / _{10(8²)}) + 4

ρ_{s} = (^{24} / _{640}) + 4

So, ρ_{s} = 0.0375 + 4

ρ_{s} = 4.0375

Therefore, the **density of solid particle **is **4.0375.**

**Calculating the Density of Fluid when the Velocity of Fine Particles, the Constant for Fluid, the Particle Diameter and the Density of Solid Particle are Given**

ρ_{f} = ρ_{s} – (^{v} / _{k1d²})

Where:

ρ_{f} = Density of Fluid

v = Velocity of Fine Particles

k_{1} = Constant for Fluid

d = Particle Diameter

ρ_{s} = Density of Solid Particle(s)

Let’s solve an example;

Find the density of fluid when the velocity of fine particles is 12, the constant for fluid is 2, the particle diameter is 5 and the density of solid particle is 6.

This implies that;

v = Velocity of Fine Particles = 12

k_{1} = Constant for Fluid = 2

d = Particle Diameter = 5

ρ_{s} = Density of Solid Particle(s) = 6

ρ_{f} = ρ_{s} – (^{v} / _{k1d²})

Then, ρ_{f} = 6 – (^{12} / _{2(5²)})

ρ_{f} = 6 – (^{12} / _{50})

So, ρ_{f} = 6 – 0.24

ρ_{f} = 5.76

Therefore, the **density of fluid **is **5.76.**

Read more: How to Calculate and Solve for Velocity at Turbulent Flow | Mineral Processing

**How to Calculate Velocity of Fine Particles With Nickzom Calculator**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the velocity of fine particles.

To get the answer and workings of the velocity of fine particles 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 **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 **Mineral Processing **under **Materials and Metallurgical**

Now, Click on **Velocity of Fine Particles** under **Mineral Processing**

The screenshot below displays the page or activity to enter your values, to get the answer for the velocity of fine particles according to the respective parameter which is the **Constant for Fluid (k _{1}), Particle Diameter (d), Density of Solid Particle(s) (ρ_{s})** and

**Density of Fluid (ρ**

_{f}).Now, enter the values appropriately and accordingly for the parameters as required by the **Constant for Fluid (k _{1})** is

**12**,

**Particle Diameter (d)**is

**8**,

**Density of Solid Particle(s) (ρ**is

_{s})**4**and

**Density of Fluid (ρ**is

_{f})**10**.

Finally, Click on Calculate

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