Individual Wave Celerity created by Moving Vessel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line)
C = Vs*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
Individual Wave Celerities - (Measured in Meter per Second) - Individual Wave Celerities created by a moving Vessel.
Vessel Speed - (Measured in Meter per Second) - Vessel Speed influencing individual wave celerity [length/time].
Angle between sailing line - Angle between sailing line and the direction of wave propagation.
STEP 1: Convert Input(s) to Base Unit
Vessel Speed: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Angle between sailing line: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = Vs*cos(θ) --> 100*cos(5)
Evaluating ... ...
C = 28.3662185463226
STEP 3: Convert Result to Output's Unit
28.3662185463226 Meter per Second --> No Conversion Required
FINAL ANSWER
28.3662185463226 28.36622 Meter per Second <-- Individual Wave Celerities
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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NSS College of Engineering (NSSCE), Palakkad
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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)))

Individual Wave Celerity created by Moving Vessel Formula

Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line)
C = Vs*cos(θ)

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 Individual Wave Celerity created by Moving Vessel?

Individual Wave Celerity created by Moving Vessel calculator uses Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line) to calculate the Individual Wave Celerities, Individual Wave Celerity created by moving Vessel is defined by mean water depth becomes wave-period-averaged mean water depth. Individual Wave Celerities is denoted by C symbol.

How to calculate Individual Wave Celerity created by Moving Vessel using this online calculator? To use this online calculator for Individual Wave Celerity created by Moving Vessel, enter Vessel Speed (Vs) & Angle between sailing line (θ) and hit the calculate button. Here is how the Individual Wave Celerity created by Moving Vessel calculation can be explained with given input values -> 28.36622 = 100*cos(5).

FAQ

What is Individual Wave Celerity created by Moving Vessel?
Individual Wave Celerity created by moving Vessel is defined by mean water depth becomes wave-period-averaged mean water depth and is represented as C = Vs*cos(θ) or Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line). Vessel Speed influencing individual wave celerity [length/time] & Angle between sailing line and the direction of wave propagation.
How to calculate Individual Wave Celerity created by Moving Vessel?
Individual Wave Celerity created by moving Vessel is defined by mean water depth becomes wave-period-averaged mean water depth is calculated using Individual Wave Celerities = Vessel Speed*cos(Angle between sailing line). To calculate Individual Wave Celerity created by Moving Vessel, you need Vessel Speed (Vs) & Angle between sailing line (θ). With our tool, you need to enter the respective value for Vessel Speed & 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.
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