Drawdown with respect to Water Depth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dimensionless Drawdown = Water Surface Drawdown/Water Depth
D = Δd/D
This formula uses 3 Variables
Variables Used
Dimensionless Drawdown - Dimensionless Drawdown for the continuity and energy equations.
Water Surface Drawdown - (Measured in Meter) - Water Surface Drawdown ∆d, taken as the vessel sinkage.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.
STEP 1: Convert Input(s) to Base Unit
Water Surface Drawdown: 5.5 Meter --> 5.5 Meter No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = Δd/D --> 5.5/12
Evaluating ... ...
D = 0.458333333333333
STEP 3: Convert Result to Output's Unit
0.458333333333333 --> No Conversion Required
FINAL ANSWER
0.458333333333333 0.458333 <-- Dimensionless Drawdown
(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!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
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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)))

Drawdown with respect to Water Depth Formula

Dimensionless Drawdown = Water Surface Drawdown/Water Depth
D = Δd/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 Drawdown with respect to Water Depth?

Drawdown with respect to Water Depth calculator uses Dimensionless Drawdown = Water Surface Drawdown/Water Depth to calculate the Dimensionless Drawdown, The Drawdown with respect to Water Depth refers to the lowering of the surface elevation of a body of water, the water table. Dimensionless Drawdown is denoted by D symbol.

How to calculate Drawdown with respect to Water Depth using this online calculator? To use this online calculator for Drawdown with respect to Water Depth, enter Water Surface Drawdown (Δd) & Water Depth (D) and hit the calculate button. Here is how the Drawdown with respect to Water Depth calculation can be explained with given input values -> 0.458333 = 5.5/12.

FAQ

What is Drawdown with respect to Water Depth?
The Drawdown with respect to Water Depth refers to the lowering of the surface elevation of a body of water, the water table and is represented as D = Δd/D or Dimensionless Drawdown = Water Surface Drawdown/Water Depth. Water Surface Drawdown ∆d, taken as the vessel sinkage & Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Drawdown with respect to Water Depth?
The Drawdown with respect to Water Depth refers to the lowering of the surface elevation of a body of water, the water table is calculated using Dimensionless Drawdown = Water Surface Drawdown/Water Depth. To calculate Drawdown with respect to Water Depth, you need Water Surface Drawdown (Δd) & Water Depth (D). With our tool, you need to enter the respective value for Water Surface Drawdown & 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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