How to Calculate and Solve for Water Convergence Efficiency | Methods of Application of Water

September 30, 2020April 20, 2024 Loveth Idoko

Last Updated on April 20, 2024

The image above represents water convergence efficiency. Two essential parameters are needed to calculate water convergence efficiency: water delivered to the irrigation plot (wf) and water delivered from the source (w_d).

The formula for calculating water convergence efficiency:

E_c = ^{100 . w_f} / _{w_d}

Where:

E_c = Water Convergence Efficiency
w_f = Water delivered to the Irrigated Plot
w_d = Water delivered from the Source

Let’s solve an example;
Find the water convergence efficiency when the water delivered to the irrigated plot is 30 and the water delivered from the source is 10.

This implies that;

w_f = Water delivered to the Irrigated Plot = 30
w_d = Water delivered from the Source = 10

E_c = ^{100 . w_f} / _wd
That is, E_c = ^{100 . (30)} / ₁₀
E_c = ³⁰⁰⁰ / ₁₀
E_c = 300

Therefore, the water convergence efficiency is 300%.

Calculating the Water Delivered to the Irrigated Plot when the Water Convergence Efficiency and the Water Delivered from the Source are Given

w_f = ^{E_c x w_d} / ₁₀₀

Where;

w_f = Water delivered to the Irrigated Plot
E_c = Water Convergence Efficiency
w_d = Water delivered from the Source

Let’s solve an example;
Find the water delivered to the irrigated plot when the water convergence efficiency is 20 and the water delivered from the source is 5.

This implies that;

E_c = Water Convergence Efficiency = 20
w_d = Water delivered from the Source = 5

w_f = ^{E_c x w_d} / ₁₀₀
So, w_f = ^{20 x 5} / ₁₀₀
w_f = ¹⁰⁰ / ₁₀₀
w_f = 1

Therefore, the water delivered to the irrigated plot is 1%.

Calculating the Water Delivered from the Source when the Water Convergence Efficiency and the Water Delivered to the Irrigated Plot are Given

w_d = ^{100 x w_f} / _{E_c}

Where;

w_d = Water delivered from the Source
E_c = Water Convergence Efficiency
w_f = Water delivered to the Irrigated Plot

Let’s solve an example;
Find the water delivered from the source when the water convergence efficiency is 40 and the water delivered to the irrigated plot is 20.

This implies that;

E_c = Water Convergence Efficiency = 40
w_f = Water delivered to the Irrigated Plot = 20

w_d = ^{100 x w_f} / _{E_c}
Then, w_d = ^{100 x 20} / ₄₀
w_d = ²⁰⁰⁰ / ₄₀
w_d = 50

Therefore, the water delivered from the source is 50%.

How to Calculate Water Convergence efficiency Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the water convergence efficiency.

To get the answer and workings of the water convergence efficiency 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 Methods of Application of Water under Agricultural

Now, Click on Water Convergence Efficiency under Methods of Application of Water

The screenshot below displays the page or activity to enter your values, to get the answer for the water convergence efficiency according to the respective parameters which is the Water delivered to the Irrigated Plot (w_f) and Water delivered from the Source (w_d).

Now, enter the values appropriately and accordingly for the parameters as required by the Water delivered to the Irrigated Plot (w_f) is 30 and Water delivered from the Source (w_d) is 10.

Finally, Click on Calculate

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