Velocity above Screen given Head Loss through Screen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729))
u = sqrt(v^2-(hL/0.0729))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity of Flow before Screening - (Measured in Meter per Second) - The Velocity of Flow before Screening is the flow of water before screening which depends upon the cross-section area of the channel.
Velocity of Flow after Screening - (Measured in Meter per Second) - The Velocity of Flow after Screening is the flow of water after the screening which depends upon the clear spacing area within the screen.
Head Loss - (Measured in Meter) - The Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
STEP 1: Convert Input(s) to Base Unit
Velocity of Flow after Screening: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Head Loss: 2.84 Meter --> 2.84 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = sqrt(v^2-(hL/0.0729)) --> sqrt(8^2-(2.84/0.0729))
Evaluating ... ...
u = 5.00425059379394
STEP 3: Convert Result to Output's Unit
5.00425059379394 Meter per Second --> No Conversion Required
FINAL ANSWER
5.00425059379394 5.004251 Meter per Second <-- Velocity of Flow before Screening
(Calculation completed in 00.020 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Screening Calculators

Velocity through Screen given Head Loss through Screen
​ LaTeX ​ Go Velocity of Flow after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2)
Velocity above Screen given Head Loss through Screen
​ LaTeX ​ Go Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729))
Minimum Head Loss when screen is fully functional
​ LaTeX ​ Go Head Loss = 0.0729*(Velocity of Flow after Screening^2-Velocity of Flow before Screening^2)
Head Loss through Screen
​ LaTeX ​ Go Head Loss = 0.0729*(Velocity of Flow after Screening^2-Velocity of Flow before Screening^2)

Velocity above Screen given Head Loss through Screen Formula

​LaTeX ​Go
Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729))
u = sqrt(v^2-(hL/0.0729))

What is head loss?

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids.

Why is screening done in WTP (Water Treatment Plant)?

Screening is done to remove floating materials from the raw water. There are 2 types of screen
1. Coarse Screen- clear spacing between the bar is 20-100mm.
2. Fine Screen- clear spacing in the mesh is <1mm.
Screens are provided to protect
i. pumps
ii. valves
iii. pipeline and other appurtenance from damage or clogging by rags and other large objects.

How to Calculate Velocity above Screen given Head Loss through Screen?

Velocity above Screen given Head Loss through Screen calculator uses Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729)) to calculate the Velocity of Flow before Screening, The Velocity above Screen given Head Loss through Screen is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity of Flow before Screening is denoted by u symbol.

How to calculate Velocity above Screen given Head Loss through Screen using this online calculator? To use this online calculator for Velocity above Screen given Head Loss through Screen, enter Velocity of Flow after Screening (v) & Head Loss (hL) and hit the calculate button. Here is how the Velocity above Screen given Head Loss through Screen calculation can be explained with given input values -> 5.004251 = sqrt(8^2-(2.84/0.0729)).

FAQ

What is Velocity above Screen given Head Loss through Screen?
The Velocity above Screen given Head Loss through Screen is the rate of change of its position with respect to a frame of reference, and is a function of time and is represented as u = sqrt(v^2-(hL/0.0729)) or Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729)). The Velocity of Flow after Screening is the flow of water after the screening which depends upon the clear spacing area within the screen & The Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
How to calculate Velocity above Screen given Head Loss through Screen?
The Velocity above Screen given Head Loss through Screen is the rate of change of its position with respect to a frame of reference, and is a function of time is calculated using Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729)). To calculate Velocity above Screen given Head Loss through Screen, you need Velocity of Flow after Screening (v) & Head Loss (hL). With our tool, you need to enter the respective value for Velocity of Flow after Screening & Head Loss and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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