Average Volume of Bay over Tidal Cycle given Residence Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration
V = (Tr*ε*P)/T
This formula uses 5 Variables
Variables Used
Average Volume of Bay over Tidal Cycle - (Measured in Cubic Meter per Hour) - Average Volume of Bay over Tidal Cycle depends on residence time, fraction of new water entering the bay, tidal prism filling the bay and tidal period.
Residence Time - (Measured in Year) - Residence Time is defined as the average time for a particle to enter, then leave the basin, with this average based on many particles.
Fraction of New Water entering the Bay - Fraction of New Water entering the Bay is the continuous ratio of freshwater influx to total water volume.
Tidal Prism Filling Bay - (Measured in Cubic Meter) - Tidal Prism Filling Bay is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide.
Tidal Duration - (Measured in Year) - Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
STEP 1: Convert Input(s) to Base Unit
Residence Time: 16 Year --> 16 Year No Conversion Required
Fraction of New Water entering the Bay: 0.7 --> No Conversion Required
Tidal Prism Filling Bay: 32 Cubic Meter --> 32 Cubic Meter No Conversion Required
Tidal Duration: 2 Year --> 2 Year No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (Tr*ε*P)/T --> (16*0.7*32)/2
Evaluating ... ...
V = 179.2
STEP 3: Convert Result to Output's Unit
0.0497777777777778 Cubic Meter per Second -->179.2 Cubic Meter per Hour (Check conversion ​here)
FINAL ANSWER
179.2 Cubic Meter per Hour <-- Average Volume of Bay over Tidal Cycle
(Calculation completed in 00.007 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Tidal Dispersion and Mixing Calculators

Tidal Prism given Residence Time
​ LaTeX ​ Go Tidal Prism Filling Bay = (Tidal Duration*Average Volume of Bay over Tidal Cycle)/(Residence Time*Fraction of New Water entering the Bay)
Residence Time
​ LaTeX ​ Go Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay))
Average Volume of Bay over Tidal Cycle given Residence Time
​ LaTeX ​ Go Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration
Tidal Period given Residence Time
​ LaTeX ​ Go Tidal Duration = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Average Volume of Bay over Tidal Cycle

Average Volume of Bay over Tidal Cycle given Residence Time Formula

​LaTeX ​Go
Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration
V = (Tr*ε*P)/T

What is Bay Superelevation?

A Superelevation of the bay means that the average level of the bay is greater than the average elevation of the ocean over a given time period. An obvious cause of this effect is the introduction of freshwater into the bay from local rivers and streams. The effect of long-term (months or years) rise in sea level causing a long-term rise in bay level is not included in this definition of bay superelevation, since both sea and bay are responding simultaneously. The bay may not rise at the same rate as the sea due to possible circulation effects if multiple inlets connect the bay to the ocean.

What is Residence Time?

Residence time is defined as the amount of water in a reservoir divided by either the rate of addition of water to the reservoir or the rate of loss from it.

How to Calculate Average Volume of Bay over Tidal Cycle given Residence Time?

Average Volume of Bay over Tidal Cycle given Residence Time calculator uses Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration to calculate the Average Volume of Bay over Tidal Cycle, The Average Volume of Bay over Tidal Cycle given Residence Time formula is defined as the average of the volume of basin/bay influencing the residence time. Average Volume of Bay over Tidal Cycle is denoted by V symbol.

How to calculate Average Volume of Bay over Tidal Cycle given Residence Time using this online calculator? To use this online calculator for Average Volume of Bay over Tidal Cycle given Residence Time, enter Residence Time (Tr), Fraction of New Water entering the Bay (ε), Tidal Prism Filling Bay (P) & Tidal Duration (T) and hit the calculate button. Here is how the Average Volume of Bay over Tidal Cycle given Residence Time calculation can be explained with given input values -> 645120 = (504911232*0.7*32)/63113904.

FAQ

What is Average Volume of Bay over Tidal Cycle given Residence Time?
The Average Volume of Bay over Tidal Cycle given Residence Time formula is defined as the average of the volume of basin/bay influencing the residence time and is represented as V = (Tr*ε*P)/T or Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration. Residence Time is defined as the average time for a particle to enter, then leave the basin, with this average based on many particles, Fraction of New Water entering the Bay is the continuous ratio of freshwater influx to total water volume, Tidal Prism Filling Bay is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide & Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
How to calculate Average Volume of Bay over Tidal Cycle given Residence Time?
The Average Volume of Bay over Tidal Cycle given Residence Time formula is defined as the average of the volume of basin/bay influencing the residence time is calculated using Average Volume of Bay over Tidal Cycle = (Residence Time*Fraction of New Water entering the Bay*Tidal Prism Filling Bay)/Tidal Duration. To calculate Average Volume of Bay over Tidal Cycle given Residence Time, you need Residence Time (Tr), Fraction of New Water entering the Bay (ε), Tidal Prism Filling Bay (P) & Tidal Duration (T). With our tool, you need to enter the respective value for Residence Time, Fraction of New Water entering the Bay, Tidal Prism Filling Bay & Tidal Duration 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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