Height to Length Ratio given Settling Velocity Calculator

✖Settling velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth [D]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%

✖Ratio of height to length is the defined as the ratio of height of sedimentation tank to length of sedimentation tank.ⓘ Height to Length Ratio given Settling Velocity [HL]

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Formula

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Height to Length Ratio given Settling Velocity

Formula

`"HL" = ("v"_{"s"}*"w"*"D")/"Q"`

Example

`"10.20297"=("1.5m/s"*"2.29m"*"3m")/"1.01m³/s"`

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Height to Length Ratio given Settling Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge
HL = (v_s*w*D)/Q
This formula uses 5 Variables

Variables Used

Ratio of height to length - Ratio of height to length is the defined as the ratio of height of sedimentation tank to length of sedimentation tank.
Settling Velocity - (Measured in Meter per Second) - Settling velocity is defined as the terminal velocity of a particle in still fluid.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.

STEP 1: Convert Input(s) to Base Unit

Settling Velocity: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Width: 2.29 Meter --> 2.29 Meter No Conversion Required
Depth: 3 Meter --> 3 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HL = (v_s*w*D)/Q --> (1.5*2.29*3)/1.01

Evaluating ... ...

HL = 10.2029702970297

STEP 3: Convert Result to Output's Unit

10.2029702970297 --> No Conversion Required

FINAL ANSWER

10.2029702970297 ≈ 10.20297 <-- Ratio of height to length

(Calculation completed in 00.004 seconds)

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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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< 5 Design of Continuous Flow Type of Sedimentation Tank Calculators

Height to Length Ratio given Settling Velocity

Go Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge

Overflow Rate given Discharge

Go Overflow Rate = Discharge/(Width*Length)

Length to Depth Ratio given Settling Velocity

Go Length to depth = Flow Velocity/Settling Velocity

Rate of Flow given Detention Time

Go Rate of Flow = (Volume of Tank/Detention time)

Volume of Tank given Detention Time

Go Volume of Tank = Detention time*Rate of Flow

Height to Length Ratio given Settling Velocity Formula

Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge
HL = (v_s*w*D)/Q

What is discharge ?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Height to Length Ratio given Settling Velocity?

Height to Length Ratio given Settling Velocity calculator uses Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge to calculate the Ratio of height to length, Height to Length Ratio given Settling Velocity calculates proportion in which height and length of sedimentation tank is designed when we have prior information of other parameters used. Ratio of height to length is denoted by HL symbol.

How to calculate Height to Length Ratio given Settling Velocity using this online calculator? To use this online calculator for Height to Length Ratio given Settling Velocity, enter Settling Velocity (v_s), Width (w), Depth (D) & Discharge (Q) and hit the calculate button. Here is how the Height to Length Ratio given Settling Velocity calculation can be explained with given input values -> 10.305 = (1.5*2.29*3)/discharge.

FAQ

What is Height to Length Ratio given Settling Velocity?

Height to Length Ratio given Settling Velocity calculates proportion in which height and length of sedimentation tank is designed when we have prior information of other parameters used and is represented as HL = (v_s*w*D)/Q or Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge. Settling velocity is defined as the terminal velocity of a particle in still fluid, Width is the measurement or extent of something from side to side, Depth is the distance from the top or surface to the bottom of something & Discharge is the rate of flow of a liquid.

How to calculate Height to Length Ratio given Settling Velocity?

Height to Length Ratio given Settling Velocity calculates proportion in which height and length of sedimentation tank is designed when we have prior information of other parameters used is calculated using Ratio of height to length = (Settling Velocity*Width*Depth)/Discharge. To calculate Height to Length Ratio given Settling Velocity, you need Settling Velocity (v_s), Width (w), Depth (D) & Discharge (Q). With our tool, you need to enter the respective value for Settling Velocity, Width, Depth & Discharge 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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