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Return Flow Velocity Formula

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Return Flow Velocity is the velocity of water moving back towards the sea, beneath the incoming waves on a beach. It is a significant component of the nearshore hydrodynamics. Check FAQs

V r = V s \cdot ((\frac{W \cdot D}{W \cdot (D - Δd) - A m}) - 1)

V_r - Return Flow Velocity?V_s - Vessel Speed?W - Channel Width corresponding to Mean Water Depth?D - Water Depth?Δd - Water Surface Drawdown?A_m - Vessel’s Midsection Wetted Cross-Sectional Area?

Return Flow Velocity Example

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Here is how the Return Flow Velocity equation looks like with Values.

Here is how the Return Flow Velocity equation looks like with Units.

Here is how the Return Flow Velocity equation looks like.

103.2573 = 100 \cdot ((\frac{52 \cdot 12}{52 \cdot (12 - 5.5) - 31}) - 1)

103.2573m/s = 100m/s \cdot ((\frac{52m \cdot 12m}{52m \cdot (12m - 5.5m) - 31m²}) - 1)

103.2573 = 100 \cdot ((\frac{52 \cdot 12}{52 \cdot (12 - 5.5) - 31}) - 1)

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Return Flow Velocity Solution

Follow our step by step solution on how to calculate Return Flow Velocity?

FIRST Step Consider the formula

V r = V s \cdot ((\frac{W \cdot D}{W \cdot (D - Δd) - A m}) - 1)

Next Step Substitute values of Variables

∴

V r = 100m/s \cdot ((\frac{52m \cdot 12m}{52m \cdot (12m - 5.5m) - 31m²}) - 1)

Next Step Prepare to Evaluate

∴

V r = 100 \cdot ((\frac{52 \cdot 12}{52 \cdot (12 - 5.5) - 31}) - 1)

Next Step Evaluate

∴

V r = 103.257328990228m/s

LAST Step Rounding Answer

∴

V r = 103.2573m/s

Return Flow Velocity Formula Elements

Variables

Return Flow Velocity

Return Flow Velocity is the velocity of water moving back towards the sea, beneath the incoming waves on a beach. It is a significant component of the nearshore hydrodynamics.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Return Flow Velocity

Vessel Speed

Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Vessel Speed

Channel Width corresponding to Mean Water Depth

Channel Width corresponding to Mean Water Depth is the width of a natural or engineered channel where the average depth of the water is taken into consideration.

Symbol: W

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Channel Width corresponding to Mean Water Depth

Water Depth

Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Water Surface Drawdown

Water Surface Drawdown refers to the lowering of the water level in a reservoir, aquifer, or other bodies of water for some period of time, typically for several months.

Symbol: Δd

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Surface Drawdown

Vessel’s Midsection Wetted Cross-Sectional Area

Vessel’s Midsection Wetted Cross-Sectional Area is the area of the vertical plane that cuts through the widest part (beam) of the submerged portion of a vessel's hull.

Symbol: A_m

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Vessel’s Midsection Wetted Cross-Sectional Area

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

Go Average per Cycle Exchange Coefficient

E = 1 - \frac{{(\frac{C i}{C o})}^{1}}{i}

Go Initial Concentration of Substance in Harbor Water

C o = \frac{C i}{{(1 - E)}^{i}}

Go Concentration of Substance after i Tidal Cycles

C i = C o \cdot {(1 - E)}^{i}

Go Individual Wave Celerity created by Moving Vessel

C = V s \cdot \cos (θ)

How to Evaluate Return Flow Velocity?

Return Flow Velocity evaluator uses Return Flow Velocity = Vessel Speed*(((Channel Width corresponding to Mean Water Depth*Water Depth)/(Channel Width corresponding to Mean Water Depth*(Water Depth-Water Surface Drawdown)-Vessel’s Midsection Wetted Cross-Sectional Area))-1) to evaluate the Return Flow Velocity, The Return Flow Velocity formula refers to the speed at which water moves back toward the sea or a central point after being displaced by a wave, tide, or another force between the vessel hull and the channel bottom and sides. This return flow velocity can be calculated for a rectangular channel and vessel cross section. Return Flow Velocity is denoted by V_r symbol.

How to evaluate Return Flow Velocity using this online evaluator? To use this online evaluator for Return Flow Velocity, enter Vessel Speed (V_s), Channel Width corresponding to Mean Water Depth (W), Water Depth (D), Water Surface Drawdown (Δd) & Vessel’s Midsection Wetted Cross-Sectional Area (A_m) and hit the calculate button.

FAQs on Return Flow Velocity

What is the formula to find Return Flow Velocity?

The formula of Return Flow Velocity is expressed as Return Flow Velocity = Vessel Speed*(((Channel Width corresponding to Mean Water Depth*Water Depth)/(Channel Width corresponding to Mean Water Depth*(Water Depth-Water Surface Drawdown)-Vessel’s Midsection Wetted Cross-Sectional Area))-1). Here is an example- 103.2573 = 100*(((52*12)/(52*(12-5.5)-31))-1).

How to calculate Return Flow Velocity?

With Vessel Speed (V_s), Channel Width corresponding to Mean Water Depth (W), Water Depth (D), Water Surface Drawdown (Δd) & Vessel’s Midsection Wetted Cross-Sectional Area (A_m) we can find Return Flow Velocity using the formula - Return Flow Velocity = Vessel Speed*(((Channel Width corresponding to Mean Water Depth*Water Depth)/(Channel Width corresponding to Mean Water Depth*(Water Depth-Water Surface Drawdown)-Vessel’s Midsection Wetted Cross-Sectional Area))-1).

Can the Return Flow Velocity be negative?

Yes, the Return Flow Velocity, measured in Speed can be negative.

Which unit is used to measure Return Flow Velocity?

Return Flow Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Return Flow Velocity can be measured.

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Return Flow Velocity Formula

Return Flow Velocity Example

Return Flow Velocity Solution

Return Flow Velocity Formula Elements

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

How to Evaluate Return Flow Velocity?

FAQs on Return Flow Velocity

Variable Name