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

The image above represents consumptive use efficiency. To calculate consumptive use efficiency, two essential parameters are needed and these parameters are Normal Consumptive Use of Water (W_cu) and Net Amount of Water depleted from Root Zone (W_d).

The formula for calculating consumptive use efficiency:

E_cu = ^{100 . W_cu} / _Wd

Where:

E_cu = Consumptive Use Efficiency
W_cu = Normal Consumptive Use of Water
W_d = Net Amount of Water depleted from Root Zone

Let’s solve an example;
Find the consumptive use efficiency when the normal consumptive use of water is 24 and the net amount of water depleted from root zone is 3.

This implies that;

W_cu = Normal Consumptive Use of Water = 24
W_d = Net Amount of Water depleted from Root Zone = 3

E_cu = ^{100 . W_cu} / _Wd
That is, E_cu = ^{100 . (24)} / ₃
E_cu = ²⁴⁰⁰ / ₃
E_cu = 800

Therefore, the consumptive use efficiency is 800%.

Read more: How to Calculate and Solve for Water Use Efficiency | Methods of Application of Water

Calculating the Normal Consumptive Use of Water when the Consumptive Use Efficiency and the Net Amount of Water Depleted from Root Zone are Given

W_cu = ^{E_cu x W_d} / ₁₀₀

That is where;

W_cu = Normal Consumptive Use of Water
E_cu = Consumptive Use Efficiency
W_d = Net Amount of Water depleted from Root Zone

Let’s solve an example;
Find the normal consumptive use of water when the consumptive use efficiency is 20 and net amount of water depleted from root zone is 4.

This implies that;

E_cu = Consumptive Use Efficiency = 20
W_d = Net Amount of Water depleted from Root Zone = 4

W_cu = ^{E_cu x W_d} / ₁₀₀
Then, W_cu = ^{20 x 4} / ₁₀₀
W_cu = ⁸⁰ / ₁₀₀
W_cu = 0.8

Therefore, the normal consumptive use of water is 0.8%.

Calculating the Net Amount of Water Depleted from Root Zone when the Consumptive Use Efficiency and the Normal Consumptive Use of Water are Given

W_d = ^{100 . W_cu} / _Ecu

That is where;

W_d = Net Amount of Water depleted from Root Zone
E_cu = Consumptive Use Efficiency
W_cu = Normal Consumptive Use of Water

Let’s solve an example;
Find the net amount of water depleted from root zone when the consumptive use efficiency is 35 and the normal consumptive use of water is 5.

This implies that;

E_cu = Consumptive Use Efficiency = 35
And that: W_cu = Normal Consumptive Use of Water = 5

W_d = ^{100 . W_cu} / _Ecu
So, W_d = ^{100 . 5} / ₃₅
W_d = ⁵⁰⁰ / ₃₅
W_d = 14.28

Therefore, the net amount of water depleted from root zone is 14.28%.

How to Calculate Consumptive Use Efficiency Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the consumptive use efficiency.

To get the answer and workings of the consumptive use 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 Consumptive Use 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 consumptive use efficiency according to the respective parameters which is the Normal Consumptive Use of Water (W_cu) and Net Amount of Water depleted from Root Zone (W_d).

Now, enter the values appropriately and accordingly for the parameters as required by the Normal Consumptive Use of Water (W_cu) is 24 and Net Amount of Water depleted from Root Zone (W_d) is 3.

Finally, Click on Calculate

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