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Vessel Speed given Return Flow Velocity Calculator

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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.ⓘ Return Flow Velocity [V_r]			+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%

✖Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.ⓘ Vessel Speed given Return Flow Velocity [V_s]

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Formula

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Vessel Speed given Return Flow Velocity

Formula

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

Example

100.7192 m/s = \frac{104 m/s}{(\frac{52 m \cdot 12 m}{52 m \cdot (12 m - 5.5 m) - 31 m²}) - 1}

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Vessel Speed given Return Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vessel Speed = Return Flow Velocity/(((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_s = V_r/(((W*D)/(W*(D-Δd)-A_m))-1)
This formula uses 6 Variables

Variables Used

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.
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.
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

Return Flow Velocity: 104 Meter per Second --> 104 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_s = V_r/(((W*D)/(W*(D-Δd)-A_m))-1) --> 104/(((52*12)/(52*(12-5.5)-31))-1)

Evaluating ... ...

V_s = 100.719242902208

STEP 3: Convert Result to Output's Unit

100.719242902208 Meter per Second --> No Conversion Required

FINAL ANSWER

100.719242902208 ≈ 100.7192 Meter per Second <-- Vessel Speed

(Calculation completed in 00.007 seconds)

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Vessel Speed given 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 Vessel Speed given Return Flow Velocity?

Vessel Speed given Return Flow Velocity calculator uses Vessel Speed = Return Flow Velocity/(((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 Vessel Speed, The Vessel Speed given Return Flow Velocity formula is defined as ship speed or boat speed, is the rate at which a vessel travels through the water. At increasing distances from vessel, diffraction causes wave crest lengths to continually increase and resulting wave heights to continually decrease. Vessel Speed is denoted by V_s symbol.

How to calculate Vessel Speed given Return Flow Velocity using this online calculator? To use this online calculator for Vessel Speed given Return Flow Velocity, enter Return Flow Velocity (V_r), 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 Vessel Speed given Return Flow Velocity calculation can be explained with given input values -> 100.7192 = 104/(((52*12)/(52*(12-5.5)-31))-1).

FAQ

What is Vessel Speed given Return Flow Velocity?

The Vessel Speed given Return Flow Velocity formula is defined as ship speed or boat speed, is the rate at which a vessel travels through the water. At increasing distances from vessel, diffraction causes wave crest lengths to continually increase and resulting wave heights to continually decrease and is represented as V_s = V_r/(((W*D)/(W*(D-Δd)-A_m))-1) or Vessel Speed = Return Flow Velocity/(((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). 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, 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 Vessel Speed given Return Flow Velocity?

The Vessel Speed given Return Flow Velocity formula is defined as ship speed or boat speed, is the rate at which a vessel travels through the water. At increasing distances from vessel, diffraction causes wave crest lengths to continually increase and resulting wave heights to continually decrease is calculated using Vessel Speed = Return Flow Velocity/(((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 Vessel Speed given Return Flow Velocity, you need Return Flow Velocity (V_r), 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 Return Flow Velocity, 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.

How many ways are there to calculate Vessel Speed?

In this formula, Vessel Speed uses Return Flow Velocity, Channel Width corresponding to Mean Water Depth, Water Depth, Water Surface Drawdown & Vessel’s Midsection Wetted Cross-Sectional Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Vessel Speed = Individual Wave Celerity/cos(Angle between Sailing Line)
Vessel Speed = Froude Number*sqrt([g]*Water Depth)

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