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Height to Length Ratio given Settling Velocity Calculator

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✖Settling Velocity is defined as the terminal velocity of a particle in still fluid.ⓘ Settling Velocity [v_s]			+10% -10%
✖Width is the horizontal measurement or dimension of a structure, feature, or area.ⓘ Width [w]			+10% -10%
✖Depth is the vertical distance from the surface of a reference point, such as the ground or water surface, to a specific point or feature below.ⓘ Depth [d]			+10% -10%
✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+10% -10%

✖Ratio of Height to Length is 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 = \frac{v s \cdot w \cdot d}{Q}

Example

3.435 = \frac{1.5 m/s \cdot 2.29 m \cdot 3.00 m}{3.0 m³/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 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 horizontal measurement or dimension of a structure, feature, or area.
Depth - (Measured in Meter) - Depth is the vertical distance from the surface of a reference point, such as the ground or water surface, to a specific point or feature below.
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: 3 Cubic Meter per Second --> 3 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)/3

Evaluating ... ...

HL = 3.435

STEP 3: Convert Result to Output's Unit

3.435 --> No Conversion Required

FINAL ANSWER

3.435 <-- Ratio of Height to Length

(Calculation completed in 00.004 seconds)

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< Design of Continuous Flow Type of Sedimentation Tank Calculators

Overflow Rate given Discharge

Go Overflow Rate = Discharge/(Width*Length)

Length to Depth Ratio given Settling Velocity

Go Length to Depth Ratio = 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, The Height to Length Ratio given Settling Velocity formula is defined as the value of proportion in which height and length of sedimentation tank is designed when we have prior information of settling velocity. 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 -> 3.435 = (1.5*2.29*3)/3.

FAQ

What is Height to Length Ratio given Settling Velocity?

The Height to Length Ratio given Settling Velocity formula is defined as the value of proportion in which height and length of sedimentation tank is designed when we have prior information of settling velocity 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 horizontal measurement or dimension of a structure, feature, or area, Depth is the vertical distance from the surface of a reference point, such as the ground or water surface, to a specific point or feature below & Discharge is the rate of flow of a liquid.

How to calculate Height to Length Ratio given Settling Velocity?

The Height to Length Ratio given Settling Velocity formula is defined as the value of proportion in which height and length of sedimentation tank is designed when we have prior information of settling velocity 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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