Direction of Wave Propagation for Froude numbers up to unity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1)))
θwp = 35.27*(1-e^(12*(Fn-1)))
This formula uses 1 Constants, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Direction of Wave Propagation - Direction of Wave Propagation θ for Froude numbers up to unity.
Froude Scaling - Froude Scaling or number is a dimensionless parameter measuring the ratio of inertia force on an element of fluid to the weight of the fluid element.
STEP 1: Convert Input(s) to Base Unit
Froude Scaling: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θwp = 35.27*(1-e^(12*(Fn-1))) --> 35.27*(1-e^(12*(0.6-1)))
Evaluating ... ...
θwp = 34.9797368215811
STEP 3: Convert Result to Output's Unit
34.9797368215811 --> No Conversion Required
FINAL ANSWER
34.9797368215811 34.97974 <-- Direction of Wave Propagation
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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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
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Individual Wave Celerity created by Moving Vessel
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Drawdown with respect to Water Depth
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Direction of Wave Propagation for Froude numbers up to unity
Go Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1)))

Direction of Wave Propagation for Froude numbers up to unity Formula

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

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 Direction of Wave Propagation for Froude numbers up to unity?

Direction of Wave Propagation for Froude numbers up to unity calculator uses Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1))) to calculate the Direction of Wave Propagation, The Direction of Wave Propagation for Froude numbers up to unity defined by Weggel and Sorensen (1986) in degrees for harbor design purposes defines the axis along which the wave travels. Direction of Wave Propagation is denoted by θwp symbol.

How to calculate Direction of Wave Propagation for Froude numbers up to unity using this online calculator? To use this online calculator for Direction of Wave Propagation for Froude numbers up to unity, enter Froude Scaling (Fn) and hit the calculate button. Here is how the Direction of Wave Propagation for Froude numbers up to unity calculation can be explained with given input values -> 34.97974 = 35.27*(1-e^(12*(0.6-1))).

FAQ

What is Direction of Wave Propagation for Froude numbers up to unity?
The Direction of Wave Propagation for Froude numbers up to unity defined by Weggel and Sorensen (1986) in degrees for harbor design purposes defines the axis along which the wave travels and is represented as θwp = 35.27*(1-e^(12*(Fn-1))) or Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1))). Froude Scaling or number is a dimensionless parameter measuring the ratio of inertia force on an element of fluid to the weight of the fluid element.
How to calculate Direction of Wave Propagation for Froude numbers up to unity?
The Direction of Wave Propagation for Froude numbers up to unity defined by Weggel and Sorensen (1986) in degrees for harbor design purposes defines the axis along which the wave travels is calculated using Direction of Wave Propagation = 35.27*(1-e^(12*(Froude Scaling-1))). To calculate Direction of Wave Propagation for Froude numbers up to unity, you need Froude Scaling (Fn). With our tool, you need to enter the respective value for Froude Scaling 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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