Velocity through Screen given Head Loss through Screen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Flow after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2)
v = sqrt((hL/0.0729)+u^2)
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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Head Loss: 2.84 Meter --> 2.84 Meter No Conversion Required
Velocity of Flow before Screening: 5 Meter per Second --> 5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt((hL/0.0729)+u^2) --> sqrt((2.84/0.0729)+5^2)
Evaluating ... ...
v = 7.99734180803303
STEP 3: Convert Result to Output's Unit
7.99734180803303 Meter per Second --> No Conversion Required
FINAL ANSWER
7.99734180803303 7.997342 Meter per Second <-- Velocity of Flow after Screening
(Calculation completed in 00.004 seconds)

Credits

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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5 Screening Calculators

Velocity through Screen given Head Loss through Screen
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
Go Velocity of Flow before Screening = sqrt(Velocity of Flow after Screening^2-(Head Loss/0.0729))
Maximum Head Loss when screen is 50 percent clogged
Go Head Loss = 0.0729*((2*Velocity of Flow after Screening)^2-Velocity of Flow before Screening^2)
Minimum Head Loss when screen is fully functional
Go Head Loss = 0.0729*(Velocity of Flow after Screening^2-Velocity of Flow before Screening^2)
Head Loss through Screen
Go Head Loss = 0.0729*(Velocity of Flow after Screening^2-Velocity of Flow before Screening^2)

Velocity through Screen given Head Loss through Screen Formula

Velocity of Flow after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2)
v = sqrt((hL/0.0729)+u^2)

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 through Screen given Head Loss through Screen?

Velocity through Screen given Head Loss through Screen calculator uses Velocity of Flow after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2) to calculate the Velocity of Flow after Screening, The Velocity through 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 after Screening is denoted by v symbol.

How to calculate Velocity through Screen given Head Loss through Screen using this online calculator? To use this online calculator for Velocity through Screen given Head Loss through Screen, enter Head Loss (hL) & Velocity of Flow before Screening (u) and hit the calculate button. Here is how the Velocity through Screen given Head Loss through Screen calculation can be explained with given input values -> 7.997342 = sqrt((2.84/0.0729)+5^2).

FAQ

What is Velocity through Screen given Head Loss through Screen?
The Velocity through 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 v = sqrt((hL/0.0729)+u^2) or Velocity of Flow after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2). 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 & The Velocity of Flow before Screening is the flow of water before screening which depends upon the cross-section area of the channel.
How to calculate Velocity through Screen given Head Loss through Screen?
The Velocity through 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 after Screening = sqrt((Head Loss/0.0729)+Velocity of Flow before Screening^2). To calculate Velocity through Screen given Head Loss through Screen, you need Head Loss (hL) & Velocity of Flow before Screening (u). With our tool, you need to enter the respective value for Head Loss & Velocity of Flow before Screening 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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