Average per Cycle Exchange Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles
E = 1-(Ci/Co)^1/i
This formula uses 4 Variables
Variables Used
Average per cycle exchange coefficient - Average per cycle exchange coefficient, a factor for defining the effectiveness of tidally induced harbor flushing.
Concentration of substance after i Tidal Cycles - Concentration of substance after i Tidal Cycles depends on initial concentration and tidal cycles.
Initial concentration - Initial concentration of some substance in harbor water.
Tidal Cycles - Tidal Cycles influencing average per cycle exchange coefficient depending on each tidal cycle.
STEP 1: Convert Input(s) to Base Unit
Concentration of substance after i Tidal Cycles: 0.5 --> No Conversion Required
Initial concentration: 50 --> No Conversion Required
Tidal Cycles: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = 1-(Ci/Co)^1/i --> 1-(0.5/50)^1/2
Evaluating ... ...
E = 0.995
STEP 3: Convert Result to Output's Unit
0.995 --> No Conversion Required
FINAL ANSWER
0.995 <-- Average per cycle exchange coefficient
(Calculation completed in 00.020 seconds)

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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)))

Average per Cycle Exchange Coefficient Formula

Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles
E = 1-(Ci/Co)^1/i

What are Open basins - Helmholtz resonance?

A harbor basin open to the sea through an inlet can resonate in a mode referred to as the Helmholtz or grave mode (Sorensen 1986b). This very long period mode appears to be particularly significant for harbors responding to tsunami energy and for several harbors on the Great Lakes that respond to long-wave energy spectra generated by storms (Miles 1974; Sorensen 1986; Sorensen and Seelig 1976).

How to Calculate Average per Cycle Exchange Coefficient?

Average per Cycle Exchange Coefficient calculator uses Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles to calculate the Average per cycle exchange coefficient, The Average per Cycle Exchange Coefficient formula is defined as a dimensionless parameter which is a factor for defining the effectiveness of tidally induced harbor flushing. Average per cycle exchange coefficient is denoted by E symbol.

How to calculate Average per Cycle Exchange Coefficient using this online calculator? To use this online calculator for Average per Cycle Exchange Coefficient, enter Concentration of substance after i Tidal Cycles (Ci), Initial concentration (Co) & Tidal Cycles (i) and hit the calculate button. Here is how the Average per Cycle Exchange Coefficient calculation can be explained with given input values -> 0.995 = 1-(0.5/50)^1/2.

FAQ

What is Average per Cycle Exchange Coefficient?
The Average per Cycle Exchange Coefficient formula is defined as a dimensionless parameter which is a factor for defining the effectiveness of tidally induced harbor flushing and is represented as E = 1-(Ci/Co)^1/i or Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles. Concentration of substance after i Tidal Cycles depends on initial concentration and tidal cycles, Initial concentration of some substance in harbor water & Tidal Cycles influencing average per cycle exchange coefficient depending on each tidal cycle.
How to calculate Average per Cycle Exchange Coefficient?
The Average per Cycle Exchange Coefficient formula is defined as a dimensionless parameter which is a factor for defining the effectiveness of tidally induced harbor flushing is calculated using Average per cycle exchange coefficient = 1-(Concentration of substance after i Tidal Cycles/Initial concentration)^1/Tidal Cycles. To calculate Average per Cycle Exchange Coefficient, you need Concentration of substance after i Tidal Cycles (Ci), Initial concentration (Co) & Tidal Cycles (i). With our tool, you need to enter the respective value for Concentration of substance after i Tidal Cycles, Initial concentration & Tidal Cycles 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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