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Residence Time Formula

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Residence Time is defined as the average time for a particle to enter, then leave the basin, with this average based on many particles. Check FAQs

T r = T \cdot (\frac{V}{ε \cdot P})

T_r - Residence Time?T - Tidal Duration?V - Average Volume of Bay over Tidal Cycle?ε - Fraction of New Water entering the Bay?P - Tidal Prism Filling Bay?

Residence Time Example

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With units

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Here is how the Residence Time equation looks like with Values.

Here is how the Residence Time equation looks like with Units.

Here is how the Residence Time equation looks like.

16.0714 = 2 \cdot (\frac{180}{0.7 \cdot 32})

16.0714Year = 2Year \cdot (\frac{180m³/hr}{0.7 \cdot 32m³})

16.0714 = 2 \cdot (\frac{180}{0.7 \cdot 32})

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Residence Time Solution

Follow our step by step solution on how to calculate Residence Time?

FIRST Step Consider the formula

T r = T \cdot (\frac{V}{ε \cdot P})

Next Step Substitute values of Variables

∴

T r = 2Year \cdot (\frac{180m³/hr}{0.7 \cdot 32m³})

Next Step Prepare to Evaluate

∴

T r = 2 \cdot (\frac{180}{0.7 \cdot 32})

Next Step Evaluate

∴

T r = 507165300s

Next Step Convert to Output's Unit

∴

T r = 16.0714285714286Year

LAST Step Rounding Answer

∴

T r = 16.0714Year

Residence Time Formula Elements

Variables

Residence Time

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

Symbol: T_r

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Residence Time

Tidal Duration

Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.

Symbol: T

Measurement: TimeUnit: Year

Note: Value should be greater than 0.

Formulas to find Tidal Duration

Average Volume of Bay over Tidal Cycle

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.

Symbol: V

Measurement: Volumetric Flow RateUnit: m³/hr

Note: Value should be greater than 0.

Formulas to find Average Volume of Bay over Tidal Cycle

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.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction of New Water entering the Bay

Tidal Prism Filling Bay

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.

Symbol: P

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Tidal Prism Filling Bay

Other formulas in Tidal Dispersion and Mixing category

Go Tidal Period given Residence Time

T = \frac{T r \cdot ε \cdot P}{V}

Go Average Volume of Bay over Tidal Cycle given Residence Time

V = \frac{T r \cdot ε \cdot P}{T}

Go Tidal Prism given Residence Time

P = \frac{T \cdot V}{T r \cdot ε}

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

ε = \frac{V \cdot T}{P \cdot T r}

How to Evaluate Residence Time?

Residence Time evaluator uses Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)) to evaluate 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 evaluate Residence Time using this online evaluator? To use this online evaluator 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.

FAQs on Residence Time

What is the formula to find Residence Time?

The formula of Residence Time is expressed as Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)). Here is an example- 5.1E-7 = 63113904*(0.05/(0.7*32)).

How to calculate Residence Time?

With Tidal Duration (T), Average Volume of Bay over Tidal Cycle (V), Fraction of New Water entering the Bay (ε) & Tidal Prism Filling Bay (P) we can find Residence Time using the formula - Residence Time = Tidal Duration*(Average Volume of Bay over Tidal Cycle/(Fraction of New Water entering the Bay*Tidal Prism Filling Bay)).

Can the Residence Time be negative?

No, the Residence Time, measured in Time cannot be negative.

Which unit is used to measure Residence Time?

Residence Time is usually measured using the Year[Year] for Time. Second[Year], Millisecond[Year], Microsecond[Year] are the few other units in which Residence Time can be measured.

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Residence Time Formula

Residence Time Example

Residence Time Solution

Residence Time Formula Elements

Other formulas in Tidal Dispersion and Mixing category

How to Evaluate Residence Time?

FAQs on Residence Time

Variable Name