Dimensionless Estuary number Calculator

✖Volume of Tidal Prism 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.ⓘ Volume of Tidal Prism [P]			+10% -10%
✖Froude Number is the measurement of bulk flow characteristics such as waves, sand bedforms, flow or depth interactions at a cross-section or between boulders.ⓘ Froude Number [Fr]			+10% -10%
✖Fresh Water River Flow is the degree of mixing in an estuary and can be approximately related to the ratio between the volume of the tidal prism and the river flow.ⓘ Fresh Water River Flow [Q_r]			+10% -10%
✖Tidal Period is the time it takes for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.ⓘ Tidal Period [T]			+10% -10%

✖Estuary Number is used in the study of estuarine circulation, which refers to the residual flow pattern in an estuary induced by the density difference between seawater and river water.ⓘ Dimensionless Estuary number [E]

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Formula

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Dimensionless Estuary number

Formula

`"E" = ("P"*"Fr"^2)/("Q"_{"r"}*"T")`

Example

`"6.153846"=("40m³"*("10")^2)/("5m³/s"*"130s")`

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Dimensionless Estuary number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period)
E = (P*Fr^2)/(Q_r*T)
This formula uses 5 Variables

Variables Used

Estuary Number - Estuary Number is used in the study of estuarine circulation, which refers to the residual flow pattern in an estuary induced by the density difference between seawater and river water.
Volume of Tidal Prism - (Measured in Cubic Meter) - Volume of Tidal Prism 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.
Froude Number - Froude Number is the measurement of bulk flow characteristics such as waves, sand bedforms, flow or depth interactions at a cross-section or between boulders.
Fresh Water River Flow - (Measured in Cubic Meter per Second) - Fresh Water River Flow is the degree of mixing in an estuary and can be approximately related to the ratio between the volume of the tidal prism and the river flow.
Tidal Period - (Measured in Second) - Tidal Period is the time it takes for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.

STEP 1: Convert Input(s) to Base Unit

Volume of Tidal Prism: 40 Cubic Meter --> 40 Cubic Meter No Conversion Required
Froude Number: 10 --> No Conversion Required
Fresh Water River Flow: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
Tidal Period: 130 Second --> 130 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (P*Fr^2)/(Q_r*T) --> (40*10^2)/(5*130)

Evaluating ... ...

E = 6.15384615384615

STEP 3: Convert Result to Output's Unit

6.15384615384615 --> No Conversion Required

FINAL ANSWER

6.15384615384615 ≈ 6.153846 <-- Estuary Number

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Tides » Salinity Variations with Tide » Dimensionless Estuary number

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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!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 19 Salinity Variations with Tide Calculators

Salinity at Moment of Slack Water

Go Salinity at the Moment of Slack Water = Salinity of Water*exp(-(18*10^-6)*Fresh Water River Flow*Coordinate along the Channel^2-(0.045*Fresh Water River Flow^0.5))

Apparent Dispersion Coefficient which includes all Mixing Effects

Go Apparent Dispersion Coefficient = (Diffusion Coefficient at x=0*Distance outside the Estuary)/(Coordinate along the Channel+Distance outside the Estuary)

Coordinate along Channel given Apparent Dispersion Coefficient

Go Coordinate along the Channel = (Diffusion Coefficient at x=0*Distance outside the Estuary/Apparent Dispersion Coefficient)-Distance outside the Estuary

Diffusion Coefficient

Go Diffusion Coefficient at x=0 = Apparent Dispersion Coefficient*(Coordinate along the Channel+Distance outside the Estuary)/Distance outside the Estuary

Froude Number given Dimensionless Estuary number

Go Froude Number = sqrt((Estuary Number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism)

Fresh Water River Flow given Dimensionless Estuary number

Go Fresh Water River Flow = (Volume of Tidal Prism*Froude Number^2)/(Estuary Number*Tidal Period)

Tide Period given Dimensionless Estuary number

Go Tidal Period = (Volume of Tidal Prism*Froude Number^2)/(Estuary Number*Fresh Water River Flow)

Dimensionless Estuary number

Go Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period)

Volume of tidal prism given dimensionless estuary number

Go Volume of Tidal Prism = (Estuary Number*Fresh Water River Flow*Tidal Period)/Froude Number^2

Fresh Water River Flow given Mixing Parameter

Go Fresh Water River Flow = (Mixing Parameter*Volume of Tidal Prism)/Tidal Period

Volume of tidal prism given mixing parameter

Go Volume of Tidal Prism = (Fresh Water River Flow*Tidal Period)/Mixing Parameter

Tidal Period given Mixing Parameter

Go Tidal Period = (Mixing Parameter*Volume of Tidal Prism)/Fresh Water River Flow

Mixing Parameter

Go Mixing Parameter = (Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism

Froude Number based upon maximum flood current velocity at estuary mouth

Go Froude Number = sqrt(Estuary Number*Mixing Parameter)

Rate of Potential Energy Gain given Dimensionless Stratification Number

Go Rate of Potential Energy Gain = Rate of Energy Dissipation/Stratification Number

Rate of Energy Dissipation given Dimensionless Stratification Number

Go Rate of Energy Dissipation = Stratification Number*Rate of Potential Energy Gain

Dimensionless Stratification Number

Go Stratification Number = Rate of Energy Dissipation/Rate of Potential Energy Gain

Estuary Number given Froude Number and Mixing Parameter

Go Estuary Number = Froude Number^2/Mixing Parameter

Mixing Parameter given Dimensionless Estuary number

Go Mixing Parameter = Froude Number^2/Estuary Number

Dimensionless Estuary number Formula

Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period)
E = (P*Fr^2)/(Q_r*T)

What is an Estuary?

An estuary is a partially enclosed coastal body of brackish water with one or more rivers or streams flowing into it, and with a free connection to the open sea. Estuaries form a transition zone between river environments and maritime environments and are an example of an ecotone.

How to Calculate Dimensionless Estuary number?

Dimensionless Estuary number calculator uses Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period) to calculate the Estuary Number, The Dimensionless Estuary number formula is defined as the semi-enclosed body of water connected to the sea as far as the tidal limit or the salt intrusion limit and receiving freshwater runoff; it has the advantage over the stratification number that its parameters can be rather easily evaluated. Estuary Number is denoted by E symbol.

How to calculate Dimensionless Estuary number using this online calculator? To use this online calculator for Dimensionless Estuary number, enter Volume of Tidal Prism (P), Froude Number (Fr), Fresh Water River Flow (Q_r) & Tidal Period (T) and hit the calculate button. Here is how the Dimensionless Estuary number calculation can be explained with given input values -> 6.153846 = (40*10^2)/(5*130).

FAQ

What is Dimensionless Estuary number?

The Dimensionless Estuary number formula is defined as the semi-enclosed body of water connected to the sea as far as the tidal limit or the salt intrusion limit and receiving freshwater runoff; it has the advantage over the stratification number that its parameters can be rather easily evaluated and is represented as E = (P*Fr^2)/(Q_r*T) or Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period). Volume of Tidal Prism 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, Froude Number is the measurement of bulk flow characteristics such as waves, sand bedforms, flow or depth interactions at a cross-section or between boulders, Fresh Water River Flow is the degree of mixing in an estuary and can be approximately related to the ratio between the volume of the tidal prism and the river flow & Tidal Period is the time it takes for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.

How to calculate Dimensionless Estuary number?

The Dimensionless Estuary number formula is defined as the semi-enclosed body of water connected to the sea as far as the tidal limit or the salt intrusion limit and receiving freshwater runoff; it has the advantage over the stratification number that its parameters can be rather easily evaluated is calculated using Estuary Number = (Volume of Tidal Prism*Froude Number^2)/(Fresh Water River Flow*Tidal Period). To calculate Dimensionless Estuary number, you need Volume of Tidal Prism (P), Froude Number (Fr), Fresh Water River Flow (Q_r) & Tidal Period (T). With our tool, you need to enter the respective value for Volume of Tidal Prism, Froude Number, Fresh Water River Flow & Tidal Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Estuary Number?

In this formula, Estuary Number uses Volume of Tidal Prism, Froude Number, Fresh Water River Flow & Tidal Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

Estuary Number = Froude Number^2/Mixing Parameter

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