The image above represents pressure gradient.

To compute for pressure gradient, four essential parameters are needed and these parameters are **value (α), viscosity (μ), screw rotation speed (N)** and** proportionality constant that depends on screw geometry (B).**

The formula for calculating pressure gradient:

ΔP = ^{αμN} / _{B}

Where;

ΔP = Pressure Gradient

α = Value

μ = Viscosity

N = Screw Rotation Speed

B = Proportionality Constant that Depends on Screw Geometry

Let’s solve an example;

Find the pressure gradient when the value is 2, viscosity is 9, screw rotation speed is 20 and proportionality constant that depends on screw geometry is 24.

This implies that;

α = Value = 2

μ = Viscosity = 9

N = Screw Rotation Speed = 20

B = Proportionality Constant that Depends on Screw Geometry = 24

ΔP = ^{αμN} / _{B}

ΔP = ^{(2)(9)(20)} / _{24}

ΔP = ^{360} / _{24}

ΔP = 15

Therefore, the **pressure gradient** is **15.**

**Calculating the Value when the Pressure Gradient, Viscosity, Screw Rotation Speed and Proportionality Constant that Depends on Screw Geometry is Given.**

α = ^{ΔP x B} / _{μN}

Where;

α = Value

ΔP = Pressure Gradient

μ = Viscosity

N = Screw Rotation Speed

B = Proportionality Constant that Depends on Screw Geometry

Let’s solve an example;

Find the value when the pressure gradient is 20, viscosity is 5, screw rotation speed is 11 and the proportionality constant that depends on screw geometry is 7.

This implies that;

ΔP = Pressure Gradient = 20

μ = Viscosity = 5

N = Screw Rotation Speed = 11

B = Proportionality Constant that Depends on Screw Geometry = 7

α = ^{ΔP x B} / _{μN}

α = ^{20 x 7} / _{(5)(11)}

α = ^{140} / _{55}

α = 2.54

Therefore, the **value **is **2.54.**

**Calculating the Viscosity when the Pressure Gradient, Value, Screw Rotation Speed and Proportionality Constant that Depends on Screw Geometry is Given.**

μ = ^{ΔP x B} / _{αN}

Where;

μ = Viscosity

ΔP = Pressure Gradient

α = Value

N = Screw Rotation Speed

B = Proportionality Constant that Depends on Screw Geometry

Let’s solve an example;

Find the viscosity when the pressure gradient is 34, the value is 10, the screw rotation speed is 12 and the proportionality constant that depends on screw geometry is 3.

This implies that;

ΔP = Pressure Gradient = 34

α = Value = 10

N = Screw Rotation Speed = 12

B = Proportionality Constant that Depends on Screw Geometry = 3

μ = ^{ΔP x B} / _{αN}

μ = ^{34 x 3} / _{(10)(12)}

μ = ^{102} / _{120}

μ = 0.85

Therefore, the **viscosity **is **0.85.**

**Calculating the Screw Rotation Speed when the Pressure Gradient, Value, Viscosity and Proportionality Constant that Depends on Screw Geometry is Given.**

N = ^{ΔP x B} / _{αμ}

Where;

N = Screw Rotation Speed

ΔP = Pressure Gradient

α = Value

μ = Viscosity

B = Proportionality Constant that Depends on Screw Geometry

Let’s solve an example;

Find the screw rotation speed when the pressure gradient is 48, value is 12, viscosity is 8 and proportionality constant that depends on screw geometry is 9.

This implies that;

ΔP = Pressure Gradient = 48

α = Value = 12

μ = Viscosity = 8

B = Proportionality Constant that Depends on Screw Geometry = 9

N = ^{ΔP x B} / _{αμ}

N = ^{48 x 9} / _{(12)(8)}

N = ^{432} / _{96}

N = 4.5

Therefore, the **screw rotation speed **is **4.5.**

**Calculating the Proportionality Constant that Depends on Screw Geometry when the Pressure Gradient, Value, Viscosity and Screw Rotation Speed is Given.**

B = ^{αμN} / _{ΔP}

Where;

B = Proportionality Constant that Depends on Screw Geometry

ΔP = Pressure Gradient

α = Value

μ = Viscosity

N = Screw Rotation Speed

Let’s solve an example;

Find the proportionality constant that depends on screw geometry when the value is 4, pressure gradient is 12, viscosity is 7 and screw rotation speed is 8.

This implies that;

ΔP = Pressure Gradient = 12

α = Value = 4

μ = Viscosity = 7

N = Screw Rotation Speed = 8

B = ^{αμN} / _{ΔP}

B = ^{(4)(7)(8)} / _{12}

B = ^{224} / _{12}

B = 18.67

Therefore, the **proportionality constant that depends on screw geometry **is **18.67.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the pressure gradient.

To get the answer and workings of the pressure gradient 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 1,500 **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 **Polymer & Textile**** **under **Engineering****.**

Now, Click on **Pressure Gradient**** **under **Polymer & Textile**

The screenshot below displays the page or activity to enter your values, to get the answer for the pressure gradient according to the respective parameters which is the **value (α), viscosity (μ), screw rotation speed (N)** and** proportionality constant that depends on screw geometry (B).**

Now, enter the values appropriately and accordingly for the parameters as required by the **value (α)** is **2**,** viscosity (μ)** is **9**,** screw rotation speed (N)** is **20 **and** proportionality constant that depends on screw geometry (B)** is **24**.

Finally, Click on Calculate

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