The image above represents reynold’s number.

To compute for reynold’s number, four essential parameters are needed and these parameters are **Fluid density (ρ), Discharge velocity (q), Diameter of passage way (d) **and **Viscosity (μ).**

The formula for calculating reynold’s number:

Re = ^{ρqd} / _{μ}

Where:

Re = Reynold’s Number

ρ = Fluid Density

q = Discharge Velocity

d = Diameter of Passage Way

μ = Viscosity

Let’s solve an example;

Find the reynold’s number when the fluid density is 12, discharge velocity is 10, diameter of passsage way is 22 and the viscosity is 16.

This implies that;

ρ = Fluid Density = 12

q = Discharge Velocity = 10

d = Diameter of Passage Way = 22

μ = Viscosity = 16

Re = ^{ρqd} / _{μ}

Re = ^{(12)(10)(22)} / _{16}

Re = ^{2640} / _{16}

Re = 165

Therefore, the **Reynold’s number** is **165**.

**Calculating the Fluid Density when the Reynold’s Number, the Discharge Velocity, the Diameter of Passage Way and the Viscosity is Given.**

ρ = ^{Re x μ} / _{qd}

Where;

ρ = Fluid Density

Re = Reynold’s Number

q = Discharge Velocity

d = Diameter of Passage Way

μ = Viscosity

Let’s solve an example;

Find the fluid density when the reynold’s number is 20, the discharge velocity is 8, the diameter of passage way is 4 and the viscosity is 3.

This implies that;

Re = Reynold’s Number = 20

q = Discharge Velocity = 8

d = Diameter of Passage Way = 4

μ = Viscosity = 3

ρ = ^{Re x μ} / _{qd}

ρ = ^{20 x 3} / _{(8)(4)}

ρ = ^{60} / _{32}

ρ = 1.875

Therefore, the **fluid density **is **1.875.**

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