Water Depth given Froude Number Calculator

✖Vessel Speed influencing individual wave celerity [length/time].ⓘ Vessel Speed [V_s]			+10% -10%
✖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%

✖Water depth means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Froude Number [D]

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Water Depth given Froude Number

Formula

`"D" = (("V"_{"s"}/"Fr")^2)/"[g]"`

Example

`"10.19716m"=(("100m/s"/"10")^2)/"[g]"`

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Water Depth given Froude Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = ((Vessel Speed/Froude Number)^2)/[g]
D = ((V_s/Fr)^2)/[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
Vessel Speed - (Measured in Meter per Second) - Vessel Speed influencing individual wave celerity [length/time].
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.

STEP 1: Convert Input(s) to Base Unit

Vessel Speed: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Froude Number: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = ((V_s/Fr)^2)/[g] --> ((100/10)^2)/[g]

Evaluating ... ...

D = 10.1971621297793

STEP 3: Convert Result to Output's Unit

10.1971621297793 Meter --> No Conversion Required

FINAL ANSWER

10.1971621297793 ≈ 10.19716 Meter <-- Water Depth

(Calculation completed in 00.020 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 » Water Depth given Froude Number

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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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National Institute of Technology Karnataka (NITK), Surathkal

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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)))

Water Depth given Froude Number Formula

Water Depth = ((Vessel Speed/Froude Number)^2)/[g]
D = ((V_s/Fr)^2)/[g]

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 Water Depth given Froude Number?

Water Depth given Froude Number calculator uses Water Depth = ((Vessel Speed/Froude Number)^2)/[g] to calculate the Water Depth, Water Depth given Froude Number is defined as depth of water parameter influencing Froude number less than approximately 0.7 for water depths where particle motion in vessel generated waves does not reach to bottom. Water Depth is denoted by D symbol.

How to calculate Water Depth given Froude Number using this online calculator? To use this online calculator for Water Depth given Froude Number, enter Vessel Speed (V_s) & Froude Number (Fr) and hit the calculate button. Here is how the Water Depth given Froude Number calculation can be explained with given input values -> 10.19716 = ((100/10)^2)/[g].

FAQ

What is Water Depth given Froude Number?

Water Depth given Froude Number is defined as depth of water parameter influencing Froude number less than approximately 0.7 for water depths where particle motion in vessel generated waves does not reach to bottom and is represented as D = ((V_s/Fr)^2)/[g] or Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. Vessel Speed influencing individual wave celerity [length/time] & Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

How to calculate Water Depth given Froude Number?

Water Depth given Froude Number is defined as depth of water parameter influencing Froude number less than approximately 0.7 for water depths where particle motion in vessel generated waves does not reach to bottom is calculated using Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. To calculate Water Depth given Froude Number, you need Vessel Speed (V_s) & Froude Number (Fr). With our tool, you need to enter the respective value for Vessel Speed & Froude Number 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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