How to Calculate and Solve for Discharge Velocity | Hydrology II

The image above represents discharge velocity. To calculate discharge velocity, two essential parameters are needed and these parameters are Rate of Flow (Q) and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A).

The formula for calculating discharge velocity:

v = Q / A

Where:

v = Discharge Velocity
Q = Rate of Flow
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow

Let’s solve an example;
Given that the rate of flow is 11 and the cross-sectional area of soil mass perpendicular to direction of flow is 16. Find the discharge velocity?

This implies that;

Q = Rate of Flow = 11
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow = 16

Rgar is, v = Q / A
v = 11 / 16
v = 0.6875

Therefore, the discharge velocity is 0.6875.

Calculating for Rate of Flow when the Discharge Velocity and the Cross-Sectional Area of Soil Mass Perpendicular to Direction of Flow are Given

Q = vA

Where;

Q = Rate of Flow
v = Discharge Velocity
A = Cross-Sectional Area of Soil Mass Perpendicular to Direction of Flow

Let’s solve an example;
Find the rate of flow when the discharge velocity is 14 and the cross-sectional area of soil mass perpendicular to direction of flow is 4.

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This implies that;

v = Discharge Velocity = 14
A = Cross-Sectional Area of Soil Mass Perpendicular to Direction of Flow = 4

That is, Q = vA
Q = 14 x 4
Q = 56

Therefore, the rate of flow is 56.

Read more: How to Calculate and Solve for Rate of Flow | Hydrology II

Calculating the Cross-Sectional Area of Soil Mass Perpendicular to Direction of Flow when the Rate of Flow and the Discharge Velocity are Given

A = Q / v

Where;

A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow
v = Discharge Velocity
Q = Rate of Flow

Let’s solve an example;
Find the Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow when the discharge velocity is 3 and the rate of flow is 27.

This implies that;

v = Discharge Velocity = 3
Q = Rate of Flow = 27

That is, A = Q / v
A = 27 / 3
A = 9

Therefore, the cross-sectional area of soil mass perpendicular to direction of flow is 9.

How to Calculate Discharge Velocity Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the discharge velocity.

To get the answer and workings of the discharge velocity 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 Agricultural under Engineering.

Now, Click on Hydrology II under Agricultural

Now, Click on Discharge Velocity under Hydrology II

The screenshot below displays the page or activity to enter your values, to get the answer for the discharge velocity according to the respective parameters which is the Rate of Flow (Q) and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A).

How to Calculate and Solve for Discharge Velocity | Hydrology II

Now, enter the values appropriately and accordingly for the parameters as required by the Rate of Flow (Q) is 11 and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A) is 16.

How to Calculate and Solve for Discharge Velocity | Hydrology II

Finally, Click on Calculate

How to Calculate and Solve for Discharge Velocity | Hydrology II

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

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