HCF of three numbers

Return Flow Velocity Calculator

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Flushing or Circulation Processes and Vessel Interactions Free Oscillation Period Open and Closed Basins

✖Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.ⓘ Vessel Speed [V_s]			+10% -10%
✖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.ⓘ Channel Width corresponding to Mean Water Depth [W]			+10% -10%
✖Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.ⓘ Water Depth [D]			+10% -10%
✖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.ⓘ Water Surface Drawdown [Δd]			+10% -10%
✖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.ⓘ Vessel’s Midsection Wetted Cross-Sectional Area [A_m]			+10% -10%

✖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.ⓘ Return Flow Velocity [V_r]

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Formula

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Return Flow Velocity

Formula

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

Example

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

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Return Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_r = V_s*(((W*D)/(W*(D-Δd)-A_m))-1)
This formula uses 6 Variables

Variables Used

Return Flow Velocity - (Measured in Meter per Second) - 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.
Vessel Speed - (Measured in Meter per Second) - Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.
Channel Width corresponding to Mean Water Depth - (Measured in Meter) - 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.
Water Depth - (Measured in Meter) - Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.
Water Surface Drawdown - (Measured in Meter) - 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.
Vessel’s Midsection Wetted Cross-Sectional Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Vessel Speed: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Channel Width corresponding to Mean Water Depth: 52 Meter --> 52 Meter No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required
Water Surface Drawdown: 5.5 Meter --> 5.5 Meter No Conversion Required
Vessel’s Midsection Wetted Cross-Sectional Area: 31 Square Meter --> 31 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_r = V_s*(((W*D)/(W*(D-Δd)-A_m))-1) --> 100*(((52*12)/(52*(12-5.5)-31))-1)

Evaluating ... ...

V_r = 103.257328990228

STEP 3: Convert Result to Output's Unit

103.257328990228 Meter per Second --> No Conversion Required

FINAL ANSWER

103.257328990228 ≈ 103.2573 Meter per Second <-- Return Flow Velocity

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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Return Flow Velocity Formula

What is Froude Law?

Froude's Law, defines that the speed attainable by a creature or a ship is proportional to the square root of its scale. Froude number (Fr), in hydrology and fluid mechanics, dimensionless quantity used to indicate the influence of gravity on fluid motion.

How to Calculate Return Flow Velocity?

Return Flow Velocity calculator 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 calculate 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 calculate Return Flow Velocity using this online calculator? To use this online calculator 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. Here is how the Return Flow Velocity calculation can be explained with given input values -> 103.2573 = 100*(((52*12)/(52*(12-5.5)-31))-1).

FAQ

What is 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 and is represented as V_r = V_s*(((W*D)/(W*(D-Δd)-A_m))-1) or 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). Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water, 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, Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom, 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 & 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.

How to calculate 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 is calculated using 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 calculate Return Flow Velocity, you need 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). With our tool, you need to enter the respective value for Vessel Speed, Channel Width corresponding to Mean Water Depth, Water Depth, Water Surface Drawdown & Vessel’s Midsection Wetted Cross-Sectional Area 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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