Vessel Speed given Froude Number Calculator

✖Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Froude Number [Fr]			+10% -10%
✖Depth of Water is the depth as measured from the water level to the bottom of the considered water body.ⓘ Depth of Water [D]			+10% -10%

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

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Formula

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Vessel Speed given Froude Number

Formula

`"V"_{"s"} = "Fr"*sqrt("[g]"*"D")`

Example

`"321.4998m/s"="10"*sqrt("[g]"*"105.4m")`

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Vessel Speed given Froude Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vessel Speed = Froude Number*sqrt([g]*Depth of Water)
V_s = Fr*sqrt([g]*D)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Vessel Speed - (Measured in Meter per Second) - Vessel Speed referred as a ship speed or boat speed, is the rate at which a vessel travels through the water.
Froude Number - Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
Depth of Water - (Measured in Meter) - Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Froude Number: 10 --> No Conversion Required
Depth of Water: 105.4 Meter --> 105.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = Fr*sqrt([g]*D) --> 10*sqrt([g]*105.4)

Evaluating ... ...

V_s = 321.499752721522

STEP 3: Convert Result to Output's Unit

321.499752721522 Meter per Second --> No Conversion Required

FINAL ANSWER

321.499752721522 ≈ 321.4998 Meter per Second <-- Vessel Speed

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Flushing/Circulation Processes and Vessel Interactions » Vessel Speed given Froude Number

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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

Vessel Speed given Froude Number

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

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 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)))

< 8 Important Formulas of Harbor Hydrodynamics Calculators

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length+Additional Length of the Channel)*Surface Area of Bay/([g]*Channel Cross Sectional Area))

Natural Free Oscillation Period for Open Basin

Go Natural Free Oscillating Period of a Basin = 4*Harbour Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))

Basin Length along Axis in Open Basin

Go Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4

Natural Free Oscillation Period for Closed Basins

Go Natural Free Oscillating Period of a Basin = (2*Harbour Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water))

Standing Wave Height given Maximum Horizontal Velocity at Node

Go Standing Wave Height of Ocean = (Maximum Horizontal Velocity at a Node/sqrt([g]/Depth of Water))*2

Maximum Horizontal Velocity at Node

Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Water Depth given Maximum Horizontal Velocity at Node

Go Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2

Vessel Speed given Froude Number

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

Vessel Speed given Froude Number Formula

Vessel Speed = Froude Number*sqrt([g]*Depth of Water)
V_s = Fr*sqrt([g]*D)

What is Froude Law?

This is Froude's Law, 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 Froude Number?

Vessel Speed given Froude Number calculator uses Vessel Speed = Froude Number*sqrt([g]*Depth of Water) to calculate the Vessel Speed, The Vessel Speed given Froude Number is defined as the behavior of vessel speed and structures in coastal environments, guiding decisions related to design, navigation, and safety. Vessel Speed is denoted by V_s symbol.

How to calculate Vessel Speed given Froude Number using this online calculator? To use this online calculator for Vessel Speed given Froude Number, enter Froude Number (Fr) & Depth of Water (D) and hit the calculate button. Here is how the Vessel Speed given Froude Number calculation can be explained with given input values -> 321.4998 = 10*sqrt([g]*105.4).

FAQ

What is Vessel Speed given Froude Number?

The Vessel Speed given Froude Number is defined as the behavior of vessel speed and structures in coastal environments, guiding decisions related to design, navigation, and safety and is represented as V_s = Fr*sqrt([g]*D) or Vessel Speed = Froude Number*sqrt([g]*Depth of Water). Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders & Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Vessel Speed given Froude Number?

The Vessel Speed given Froude Number is defined as the behavior of vessel speed and structures in coastal environments, guiding decisions related to design, navigation, and safety is calculated using Vessel Speed = Froude Number*sqrt([g]*Depth of Water). To calculate Vessel Speed given Froude Number, you need Froude Number (Fr) & Depth of Water (D). With our tool, you need to enter the respective value for Froude Number & Depth of Water 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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