How to Calculate and Solve for Rate of Flow | Hydrology II
Last Updated on April 17, 2024
The image above represents rate of flow. To calculate rate of flow, three essential parameters are needed and these parameters are Co-efficient of Permeability (k), Hydraulic gradient (i) and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A).
The formula for calculating rate of flow:
Q = kiA
Where:
Q = Rate of Flow
k = Coefficient of Permeability
i = Hydraulic Gradient
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow
Let’s solve an example;
Find the rate of flow when the co-efficient of permeability is 14, hydraulic gradient is 22 and the cross-sectional area of soil mass perpendicular to the direction of flow is 10.
This implies that;
k = Coefficient of Permeability = 14
i = Hydraulic Gradient = 22
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow = 10
That is, Q = kiA
Q = (14)(22)(10)
Q = 3080
Therefore, the rate of flow is 3080.
Calculating for the Co-efficient of Permeability when the Rate of Flow, the Hydraulic Gradient and the Cross-Sectional Area of Soil Mass Perpendicular to Direction of Flow are Given
k = Q / iA
Where;
k = Co-efficient of Permeability
Q = Rate of Flow
i = Hydraulic Gradient
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow
Let’s solve an example;
Find the co-efficient of permeability when the rate of flow is 40, the hydraulic gradient is 15 and the cross-sectional area of soil mass perpendicular to direction of flow is 2.
This implies that;
Q = Rate of flow = 40
i = Hydraulic Gradient = 15
A = Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow = 2
k = Q / iA
Then, k = 40 / 15 x 2
k = 40 / 30
k = 1.33
Therefore, the co-efficient of permeability is 1.33.
Read more: How to Calculate and Solve for Discharge Velocity | Hydrology II
How to Calculate for Hydraulic Gradient when the Rate of Flow, the Co-efficient of Permeability and the Cross-sectional Area of Soil Mass perpendicular to Direction of Flow are Given
i = Q / kA
Where;
i = Hydraulic Gradient
Q = Rate of Flow
k = Co-efficient of Permeability
A = Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow
Let’s Solve an example;
Find the hydraulic Gradient when the Rate of Flow is 35, the co-efficient of permeability is 5 and the cross-sectional area of soil Mass perpendicular to Direction of flow is 3.
This implies that;
Q = Rate of Flow = 35
k = Co-efficient of Permeability = 5
A = Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow = 3
i = Q / kA
Then, i = 35 / 5 x 3
i = 35 / 15
i = 2.33
Therefore, the hydraulic gradient is 2.33
How to Calculate for Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow when the Rate of Flow, the Co-efficient of Permeability and the Hydraulic Gradient are Given
A = Q / ki
Where;
A = Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow
Q = Rate of Flow
k = Co-efficient of Permeability
i = Hydraulic Gradient
Let’s Solve an example;
Find the Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow when the Rate of flow is 20, the Co-efficient of Permeability is 10 and the Hydraulic Gradient is 1.
This implies that;
Q = Rate of Flow = 20
k = Co-efficient of Permeability = 10
i = Hydraulic Gradient = 1
A = Q / ki
So, A = 20 / 10 x 1
A = 20 / 10
A = 2
Therefore, the Cross-sectional Area of Soil Mass Perpendicular to Direction of Flow is 2.
How to Calculate and Solve for Rate of Flow in Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the rate of flow.
To get the answer and workings of the rate of flow 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 Rate of Flow under Hydrology II
The screenshot below displays the page or activity to enter your values, to get the answer for the rate of flow according to the respective parameters which is the Co-efficient of Permeability (k), Hydraulic gradient (i) and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A).
Now, enter the values appropriately and accordingly for the parameters as required by the Co-efficient of Permeability (k) is 14, Hydraulic gradient (i) is 22 and Cross-Sectional Area of Soil Mass perpendicular to Direction of Flow (A) is 10.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the rate of flow and presents the formula, workings and steps too.
