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Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water. Check FAQs
Vs=Vr(WDW(D-Δd)-Am)-1
Vs - Vessel Speed?Vr - Return Flow Velocity?W - Channel Width corresponding to Mean Water Depth?D - Water Depth?Δd - Water Surface Drawdown?Am - Vessel’s Midsection Wetted Cross-Sectional Area?

Vessel Speed given Return Flow Velocity Example

With values
With units
Only example

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

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

Here is how the Vessel Speed given Return Flow Velocity equation looks like.

100.7192Edit=104Edit(52Edit12Edit52Edit(12Edit-5.5Edit)-31Edit)-1
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Vessel Speed given Return Flow Velocity Solution

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

FIRST Step Consider the formula
Vs=Vr(WDW(D-Δd)-Am)-1
Next Step Substitute values of Variables
Vs=104m/s(52m12m52m(12m-5.5m)-31)-1
Next Step Prepare to Evaluate
Vs=104(521252(12-5.5)-31)-1
Next Step Evaluate
Vs=100.719242902208m/s
LAST Step Rounding Answer
Vs=100.7192m/s

Vessel Speed given Return Flow Velocity Formula Elements

Variables
Vessel Speed
Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.
Symbol: Vs
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
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: Vr
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
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.
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.
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.
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: Am
Measurement: AreaUnit:
Note: Value can be positive or negative.

Other Formulas to find Vessel Speed

​Go Vessel Speed given Individual Wave Celerity created by Moving Vessel
Vs=Ccos(θ)
​Go Vessel Speed given Froude Number
Vs=Fr[g]D

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

​Go Average per Cycle Exchange Coefficient
E=1-(CiCo)1i
​Go Initial Concentration of Substance in Harbor Water
Co=Ci(1-E)i
​Go Concentration of Substance after i Tidal Cycles
Ci=Co(1-E)i
​Go Individual Wave Celerity created by Moving Vessel
C=Vscos(θ)

How to Evaluate Vessel Speed given Return Flow Velocity?

Vessel Speed given Return Flow Velocity evaluator 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 evaluate 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 Vs symbol.

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

FAQs on Vessel Speed given Return Flow Velocity

What is the formula to find Vessel Speed given Return Flow Velocity?
The formula of Vessel Speed given Return Flow Velocity is expressed as 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). Here is an example- 100.7192 = 104/(((52*12)/(52*(12-5.5)-31))-1).
How to calculate Vessel Speed given Return Flow Velocity?
With Return Flow Velocity (Vr), Channel Width corresponding to Mean Water Depth (W), Water Depth (D), Water Surface Drawdown (Δd) & Vessel’s Midsection Wetted Cross-Sectional Area (Am) we can find Vessel Speed given Return Flow Velocity using the formula - 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).
What are the other ways to Calculate Vessel Speed?
Here are the different ways to Calculate Vessel Speed-
  • Vessel Speed=Individual Wave Celerity/cos(Angle between Sailing Line)OpenImg
  • Vessel Speed=Froude Number*sqrt([g]*Water Depth)OpenImg
Can the Vessel Speed given Return Flow Velocity be negative?
Yes, the Vessel Speed given Return Flow Velocity, measured in Speed can be negative.
Which unit is used to measure Vessel Speed given Return Flow Velocity?
Vessel Speed given 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 Vessel Speed given Return Flow Velocity can be measured.
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