Vessel Speed given Individual Wave Celerity created by Moving Vessel Calculator

✖Individual Wave Celerities created by a moving Vessel.ⓘ Individual Wave Celerities [C]			+10% -10%
✖Angle between sailing line and the direction of wave propagation.ⓘ Angle between sailing line [θ]			+10% -10%

✖Vessel Speed influencing individual wave celerity [length/time].ⓘ Vessel Speed given Individual Wave Celerity created by Moving Vessel [V_s]

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Formula

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Vessel Speed given Individual Wave Celerity created by Moving Vessel

Formula

`"V"_{"s"} = "C"/cos("θ")`

Example

`"102.2343m/s"="29m/s"/cos("5")`

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Vessel Speed given Individual Wave Celerity created by Moving Vessel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line)
V_s = C/cos(θ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Vessel Speed - (Measured in Meter per Second) - Vessel Speed influencing individual wave celerity [length/time].
Individual Wave Celerities - (Measured in Meter per Second) - Individual Wave Celerities created by a moving Vessel.
Angle between sailing line - Angle between sailing line and the direction of wave propagation.

STEP 1: Convert Input(s) to Base Unit

Individual Wave Celerities: 29 Meter per Second --> 29 Meter per Second No Conversion Required
Angle between sailing line: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = C/cos(θ) --> 29/cos(5)

Evaluating ... ...

V_s = 102.234282488667

STEP 3: Convert Result to Output's Unit

102.234282488667 Meter per Second --> No Conversion Required

FINAL ANSWER

102.234282488667 ≈ 102.2343 Meter per Second <-- Vessel Speed

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 17 Flushing/Circulation Processes and Vessel Interactions Calculators

Vessel Speed given Return Flow Velocity

Go 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

Go 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)

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio

Go Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2))

Vessel Blockage Ratio

Go Vessel Blockage Ratio = Vessel’s midsection wetted Cross-Sectional Area/(Water Depth at Breaking*Channel Width corresponding to Mean Water Depth)

Channel Depth given Vessel Blockage Ratio

Go Channel Depth = Vessel’s midsection wetted Cross-Sectional Area/(Vessel Blockage Ratio*Channel Width corresponding to Mean Water Depth)

Channel Width given Vessel Blockage Ratio

Go Channel Width corresponding to Mean Water Depth = Vessel’s midsection wetted Cross-Sectional Area/(Vessel Blockage Ratio*Water Depth)

Vessel's Midsection Wetted Cross-Sectional Area given Vessel Blockage Ratio

Go Vessel’s midsection wetted Cross-Sectional Area = Vessel Blockage Ratio*Channel Width corresponding to Mean Water Depth*Water Depth

Average per Cycle Exchange Coefficient

Go Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles

Initial Concentration of Substance in Harbor Water

Go Initial concentration = Concentration of substance after i Tidal Cycles/(1-Average per cycle exchange coefficient)^Tidal Cycles

Concentration of Substance after i Tidal Cycles

Go Concentration of substance after i Tidal Cycles = Initial concentration*(1-Average per cycle exchange coefficient)^Tidal Cycles

Froude Number where Particle Motion in Vessel generated Waves does not Reach Bottom

Go Froude Number = Vessel Speed/sqrt([g]*Water Depth)

Vessel Speed given Froude Number

Go Vessel Speed = Froude Number*sqrt([g]*Water Depth)

Vessel Speed given Individual Wave Celerity created by Moving Vessel

Go Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line)

Individual Wave Celerity created by Moving Vessel

Go Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line)

Water Depth given Froude Number

Go Water Depth = ((Vessel Speed/Froude Number)^2)/[g]

Drawdown with respect to Water Depth

Go Dimensionless Drawdown = Water Surface Drawdown/Water Depth

Direction of Wave Propagation for Froude numbers up to unity

Go Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1)))

Vessel Speed given Individual Wave Celerity created by Moving Vessel Formula

Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line)
V_s = C/cos(θ)

What are Open basins - Helmholtz resonance?

A harbor basin open to the sea through an inlet can resonate in a mode referred to as the Helmholtz or grave mode (Sorensen 1986b). This very long period mode appears to be particularly significant for harbors responding to tsunami energy and for several harbors on the Great Lakes that respond to long-wave energy spectra generated by storms (Miles 1974; Sorensen 1986; Sorensen and Seelig 1976).

What is Wave Celerity?

The speed at which an individual wave advances or “propagates” is known as the wave celerity. For a deepwater wave the celerity is directly proportional to the wave period, T.

How to Calculate Vessel Speed given Individual Wave Celerity created by Moving Vessel?

Vessel Speed given Individual Wave Celerity created by Moving Vessel calculator uses Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line) to calculate the Vessel Speed, Vessel Speed given Individual wave celerity created by moving vessel for fixed pattern of wave crests requires that individual wave celerity be related to vessel speed. Vessel Speed is denoted by V_s symbol.

How to calculate Vessel Speed given Individual Wave Celerity created by Moving Vessel using this online calculator? To use this online calculator for Vessel Speed given Individual Wave Celerity created by Moving Vessel, enter Individual Wave Celerities (C) & Angle between sailing line (θ) and hit the calculate button. Here is how the Vessel Speed given Individual Wave Celerity created by Moving Vessel calculation can be explained with given input values -> 102.2343 = 29/cos(5).

FAQ

What is Vessel Speed given Individual Wave Celerity created by Moving Vessel?

Vessel Speed given Individual wave celerity created by moving vessel for fixed pattern of wave crests requires that individual wave celerity be related to vessel speed and is represented as V_s = C/cos(θ) or Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line). Individual Wave Celerities created by a moving Vessel & Angle between sailing line and the direction of wave propagation.

How to calculate Vessel Speed given Individual Wave Celerity created by Moving Vessel?

Vessel Speed given Individual wave celerity created by moving vessel for fixed pattern of wave crests requires that individual wave celerity be related to vessel speed is calculated using Vessel Speed = Individual Wave Celerities/cos(Angle between sailing line). To calculate Vessel Speed given Individual Wave Celerity created by Moving Vessel, you need Individual Wave Celerities (C) & Angle between sailing line (θ). With our tool, you need to enter the respective value for Individual Wave Celerities & Angle between sailing line 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 Individual Wave Celerities & Angle between sailing line. We can use 2 other way(s) to calculate the same, which is/are as follows -

Vessel Speed = Froude Number*sqrt([g]*Water Depth)
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)

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