How to Calculate and Solve for Discharge | Logarithmic Method | Irrigation Water Requirement
Last Updated on April 20, 2024
The image above represents discharge. To calculate discharge, four essential parameters are needed and these parameters are Constant for any Station (Logarithmic Form) (c), Constant for any Station (Logarithmic Form) (n), Gauge Height (G) and Gauge Height corresponding to Zero Discharge (Go).
The formula for calculating discharge:
Q = c(G – Go)n
Where:
Q = Discharge
c = Constant for any Station (Logarithmic Form)
n = Constant for any Station (Logarithmic Form)
G = Gauge Height
Go = Gauge Height corresponding to Zero Discharge
Let’s solve an example;
Find the discharge when the constant for any station (logarithmic form) is 10, the constant for any station (logarithmic form) is 15, the gauge height is 22 and the gauge height corresponding to zero discharge is 14.
This implies that;
c = Constant for any Station (Logarithmic Form) = 10
n = Constant for any Station (Logarithmic Form) = 15
G = Gauge Height = 22
Go = Gauge Height corresponding to Zero Discharge = 14
Q = c(G – Go)n
Q = 10(22 – 14)15
That is, Q = 10(8)15
Q = 10(35184372088832)
Q = 351843720888320
Therefore, the discharge is 351843720888320.
Read more: How to Calculate and Solve for Stage Discharge Extension | Irrigation Water Requirement
Calculating the Constant for any Station (logarithmic form) when the Discharge, the Constant for any Station (logarithmic form), the Gauge Height and the Guage Height corresponding to Zero Discharge are Given
c = Q / (G – Go)n
Where;
c = Constant for any Station (Logarithmic Form)
Q = Discharge
n = Constant for any Station (Logarithmic Form)
G = Gauge Height
Go = Gauge Height corresponding to Zero Discharge
Let’s solve an example;
Find the constant for any station (logarithmic form) when the discharge is 10, the constant for any station (logarithmic form) is 4, the guage height is 12 and the gauge height corresponding to zero discharge is 8.
This implies that;
Q = Discharge = 10
n = Constant for any Station (Logarithmic Form) = 4
G = Gauge Height = 12
Go = Gauge Height corresponding to Zero Discharge = 8
c = Q / (G – Go)n
c = 10 / (12 – 8)4
So, c = 10 / (4)4
c = 10 / 256
c = 0.039
Therefore, the constant for any station (logarithmic form) is 0.039.
Read more: How to Calculate and Solve for Expected Discharge | Flood Formulae | Irrigation Water Requirement
How to Calculate Discharge | Logarithmic Method Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the discharge.
To get the answer and workings of the discharge 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 Irrigation Water Requirement under Agricultural
Now, Click on Discharge under Irrigation Water Requirement
The screenshot below displays the page or activity to enter your values, to get the answer for the discharge according to the respective parameters which is the Constant for any Station (Logarithmic Form) (c), Constant for any Station (Logarithmic Form) (n), Gauge Height (G) and Gauge Height corresponding to Zero Discharge (Go).
Now, enter the values appropriately and accordingly for the parameters as required by the Constant for any Station (Logarithmic Form) (c) is 10, Constant for any Station (Logarithmic Form) (n) is 15, Gauge Height (G) is 22 and Gauge Height corresponding to Zero Discharge (Go) is 14.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the discharge and presents the formula, workings and steps too.
