Residence Time Calculator

✖Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.ⓘ Tidal Duration [T]			+10% -10%
✖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.ⓘ Average Volume of Bay over Tidal Cycle [V]			+10% -10%
✖Fraction of New Water entering the Bay is the continuous ratio of freshwater influx to total water volume.ⓘ Fraction of New Water entering the Bay [ε]			+10% -10%
✖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 Prism Filling Bay [P]			+10% -10%

✖Residence Time is defined as the average time for a particle to enter, then leave the basin, with this average based on many particles.ⓘ Residence Time [T_r]

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Formula

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Residence Time

Formula

`"T"_{"r"} = "T"*("V"/("ε"*"P"))`

Example

`"16.07143Year"="2Year"*("180m³/hr"/("0.7"*"32m³"))`

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Download Hydrodynamics of Tidal Inlets-2 Formulas PDF

Residence Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay))
T_r = T*(V/(ε*P))
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Tidal Duration: 2 Year --> 2 Year No Conversion Required
Average Volume of Bay over Tidal Cycle: 180 Cubic Meter per Hour --> 180 Cubic Meter per Hour 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = T*(V/(ε*P)) --> 2*(180/(0.7*32))

Evaluating ... ...

T_r = 16.0714285714286

STEP 3: Convert Result to Output's Unit

507165300 Second -->16.0714285714286 Year (Check conversion here)

FINAL ANSWER

16.0714285714286 ≈ 16.07143 Year <-- Residence Time

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamics of Tidal Inlets-2 » Hydrodynamic and Sediment Interaction at Tidal Inlets » Tidal Dispersion and Mixing » Residence Time

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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NSS College of Engineering (NSSCE), Palakkad

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< 5 Tidal Dispersion and Mixing Calculators

Fraction of New Water Entering Bay from Sea each Tidal Cycle given Residence Time

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

Tidal Prism given Residence Time

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

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

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

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

Residence Time Formula

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

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 Residence Time?

Residence Time calculator uses Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)) to calculate the Residence Time, The Residence Time formula 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. Residence Time is denoted by T_r symbol.

How to calculate Residence Time using this online calculator? To use this online calculator for Residence Time, enter Tidal Duration (T), Average Volume of Bay over Tidal Cycle (V), Fraction of New Water entering the Bay (ε) & Tidal Prism Filling Bay (P) and hit the calculate button. Here is how the Residence Time calculation can be explained with given input values -> 5.1E-7 = 63113904*(0.05/(0.7*32)).

FAQ

What is Residence Time?

The Residence Time formula 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 and is represented as T_r = T*(V/(ε*P)) or Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)). Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point, 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, 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.

How to calculate Residence Time?

The Residence Time formula 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 is calculated using Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)). To calculate Residence Time, you need Tidal Duration (T), Average Volume of Bay over Tidal Cycle (V), Fraction of New Water entering the Bay (ε) & Tidal Prism Filling Bay (P). With our tool, you need to enter the respective value for Tidal Duration, Average Volume of Bay over Tidal Cycle, Fraction of New Water entering the Bay & Tidal Prism Filling Bay 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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