Vessel Blockage Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vessel Blockage Ratio = Vessel’s midsection wetted Cross-Sectional Area/(Water Depth at Breaking*Channel Width corresponding to Mean Water Depth)
S = Am/(db*W)
This formula uses 4 Variables
Variables Used
Vessel Blockage Ratio - Vessel Blockage Ratio in The continuity and energy equations.
Vessel’s midsection wetted Cross-Sectional Area - (Measured in Square Meter) - Vessel’s midsection wetted Cross-Sectional Area [length^2] is the perimeter of the cross sectional area that is wet.
Water Depth at Breaking - (Measured in Meter) - Water Depth at Breaking measured. Breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.
Channel Width corresponding to Mean Water Depth - (Measured in Meter) - Channel Width corresponding to Mean Water Depth is the distance between banks in a water body and is measured perpendicular to the mean water depth.
STEP 1: Convert Input(s) to Base Unit
Vessel’s midsection wetted Cross-Sectional Area: 31 Square Meter --> 31 Square Meter No Conversion Required
Water Depth at Breaking: 55 Meter --> 55 Meter No Conversion Required
Channel Width corresponding to Mean Water Depth: 52 Meter --> 52 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = Am/(db*W) --> 31/(55*52)
Evaluating ... ...
S = 0.0108391608391608
STEP 3: Convert Result to Output's Unit
0.0108391608391608 --> No Conversion Required
FINAL ANSWER
0.0108391608391608 0.010839 <-- Vessel Blockage Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
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 Blockage Ratio Formula

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

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 Blockage Ratio?

Vessel Blockage Ratio calculator uses Vessel Blockage Ratio = Vessel’s midsection wetted Cross-Sectional Area/(Water Depth at Breaking*Channel Width corresponding to Mean Water Depth) to calculate the Vessel Blockage Ratio, The Vessel Blockage Ratio defined by a vessel in a channel with the relevant dimensions Vessel’s midsection wetted cross-sectional area, channel depth and vessel drawdown. Vessel Blockage Ratio is denoted by S symbol.

How to calculate Vessel Blockage Ratio using this online calculator? To use this online calculator for Vessel Blockage Ratio, enter Vessel’s midsection wetted Cross-Sectional Area (Am), Water Depth at Breaking (db) & Channel Width corresponding to Mean Water Depth (W) and hit the calculate button. Here is how the Vessel Blockage Ratio calculation can be explained with given input values -> 0.010839 = 31/(55*52).

FAQ

What is Vessel Blockage Ratio?
The Vessel Blockage Ratio defined by a vessel in a channel with the relevant dimensions Vessel’s midsection wetted cross-sectional area, channel depth and vessel drawdown and is represented as S = Am/(db*W) or Vessel Blockage Ratio = Vessel’s midsection wetted Cross-Sectional Area/(Water Depth at Breaking*Channel Width corresponding to Mean Water Depth). Vessel’s midsection wetted Cross-Sectional Area [length^2] is the perimeter of the cross sectional area that is wet, Water Depth at Breaking measured. Breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur & Channel Width corresponding to Mean Water Depth is the distance between banks in a water body and is measured perpendicular to the mean water depth.
How to calculate Vessel Blockage Ratio?
The Vessel Blockage Ratio defined by a vessel in a channel with the relevant dimensions Vessel’s midsection wetted cross-sectional area, channel depth and vessel drawdown is calculated using Vessel Blockage Ratio = Vessel’s midsection wetted Cross-Sectional Area/(Water Depth at Breaking*Channel Width corresponding to Mean Water Depth). To calculate Vessel Blockage Ratio, you need Vessel’s midsection wetted Cross-Sectional Area (Am), Water Depth at Breaking (db) & Channel Width corresponding to Mean Water Depth (W). With our tool, you need to enter the respective value for Vessel’s midsection wetted Cross-Sectional Area, Water Depth at Breaking & Channel Width corresponding to Mean Water Depth 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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