Falling Speed given Height at Outlet Zone with respect to Area of Tank Solution

STEP 0: Pre-Calculation Summary
Formula Used
Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)
v' = H*Q/(h*Acs)
This formula uses 5 Variables
Variables Used
Falling Speed - (Measured in Meter per Second) - The Falling Speed refers to the constant speed at which a particle falls through a fluid when the force of gravity is balanced by the drag force and buoyant force acting on the particle.
Outer Height - (Measured in Meter) - The Outer Height refers to the external vertical dimension of an object or structure.
Discharge - (Measured in Cubic Meter per Second) - The Discharge refers to the volume of fluid (usually water) that flows through a given cross-sectional area per unit of time.
Height of Crack - (Measured in Meter) - The Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Cross-Sectional Area - (Measured in Square Meter) - The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width.
STEP 1: Convert Input(s) to Base Unit
Outer Height: 40 Meter --> 40 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Height of Crack: 12000 Millimeter --> 12 Meter (Check conversion ​here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v' = H*Q/(h*Acs) --> 40*1.01/(12*13)
Evaluating ... ...
v' = 0.258974358974359
STEP 3: Convert Result to Output's Unit
0.258974358974359 Meter per Second --> No Conversion Required
FINAL ANSWER
0.258974358974359 0.258974 Meter per Second <-- Falling Speed
(Calculation completed in 00.035 seconds)

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Meerut Institute of Engineering and Technology (MIET), Meerut
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Falling Speed given Height at Outlet Zone with respect to Area of Tank
​ LaTeX ​ Go Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)
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​ LaTeX ​ Go Falling Speed = Removal Ratio e*Discharge/Area
Falling Speed given Ratio of Removal with respect to Settling Velocity
​ LaTeX ​ Go Falling Speed = Removal Ratio e*Settling Velocity
Falling Speed of Smaller Particle
​ LaTeX ​ Go Falling Speed = Outer Height/Detention Time

Falling Speed given Height at Outlet Zone with respect to Area of Tank Formula

​LaTeX ​Go
Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area)
v' = H*Q/(h*Acs)

What is Sedimentation?

Sedimentation is the tendency for particles in suspension to settle out of the fluid in which they are entrained and come to rest against a barrier. This is due to their motion through the fluid in response to the forces acting on them: these forces can be due to gravity, centrifugal acceleration, or electromagnetism.

How to Calculate Falling Speed given Height at Outlet Zone with respect to Area of Tank?

Falling Speed given Height at Outlet Zone with respect to Area of Tank calculator uses Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area) to calculate the Falling Speed, The Falling Speed given Height at Outlet Zone with respect to Area of Tank formula is defined as the downward velocity in low dense fluid at equilibrium in which sum of gravity force, buoyancy force and fluid drag force are equal to zero. Falling Speed is denoted by v' symbol.

How to calculate Falling Speed given Height at Outlet Zone with respect to Area of Tank using this online calculator? To use this online calculator for Falling Speed given Height at Outlet Zone with respect to Area of Tank, enter Outer Height (H), Discharge (Q), Height of Crack (h) & Cross-Sectional Area (Acs) and hit the calculate button. Here is how the Falling Speed given Height at Outlet Zone with respect to Area of Tank calculation can be explained with given input values -> 0.258974 = 40*1.01/(12*13).

FAQ

What is Falling Speed given Height at Outlet Zone with respect to Area of Tank?
The Falling Speed given Height at Outlet Zone with respect to Area of Tank formula is defined as the downward velocity in low dense fluid at equilibrium in which sum of gravity force, buoyancy force and fluid drag force are equal to zero and is represented as v' = H*Q/(h*Acs) or Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area). The Outer Height refers to the external vertical dimension of an object or structure, The Discharge refers to the volume of fluid (usually water) that flows through a given cross-sectional area per unit of time, The Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress & The Cross-Sectional Area of a sedimentation tank refers to the vertical slice of the tank, typically viewed from the side, that shows the depth and width.
How to calculate Falling Speed given Height at Outlet Zone with respect to Area of Tank?
The Falling Speed given Height at Outlet Zone with respect to Area of Tank formula is defined as the downward velocity in low dense fluid at equilibrium in which sum of gravity force, buoyancy force and fluid drag force are equal to zero is calculated using Falling Speed = Outer Height*Discharge/(Height of Crack*Cross-Sectional Area). To calculate Falling Speed given Height at Outlet Zone with respect to Area of Tank, you need Outer Height (H), Discharge (Q), Height of Crack (h) & Cross-Sectional Area (Acs). With our tool, you need to enter the respective value for Outer Height, Discharge, Height of Crack & Cross-Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Falling Speed?
In this formula, Falling Speed uses Outer Height, Discharge, Height of Crack & Cross-Sectional Area. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Falling Speed = Outer Height/Detention Time
  • Falling Speed = Removal Ratio e*Settling Velocity
  • Falling Speed = Removal Ratio e*Discharge/Area
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