Froude Number given Dimensionless Estuary number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Froude Number = sqrt((Dimensionless estuary number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism)
Fr = sqrt((E*Qr*T)/P)
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Froude Number - Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
Dimensionless estuary number - Dimensionless estuary number has the advantage over the stratification number that its parameters can be rather easily evaluated.
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 an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
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.
STEP 1: Convert Input(s) to Base Unit
Dimensionless estuary number: 6.154 --> 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
Volume of Tidal Prism: 40 Cubic Meter --> 40 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fr = sqrt((E*Qr*T)/P) --> sqrt((6.154*5*130)/40)
Evaluating ... ...
Fr = 10.0001249992188
STEP 3: Convert Result to Output's Unit
10.0001249992188 --> No Conversion Required
FINAL ANSWER
10.0001249992188 10.00012 <-- Froude Number
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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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((Dimensionless 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)/(Dimensionless estuary number*Tidal Period)
Tide Period given Dimensionless Estuary number
Go Tidal Period = (Volume of Tidal Prism*Froude Number^2)/(Dimensionless estuary number*Fresh Water River Flow)
Dimensionless Estuary number
Go Dimensionless 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 = (Dimensionless 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(Dimensionless estuary number*Mixing Parameter)
Rate of Potential Energy Gain given Dimensionless Stratification Number
Go Rate of Potential Energy Gain = Rate of Energy Dissipation/Dimensionless Stratification Number
Rate of Energy Dissipation given Dimensionless Stratification Number
Go Rate of Energy Dissipation = Dimensionless Stratification Number*Rate of Potential Energy Gain
Dimensionless Stratification Number
Go Dimensionless Stratification Number = Rate of Energy Dissipation/Rate of Potential Energy Gain
Estuary Number given Froude Number and Mixing Parameter
Go Dimensionless estuary number = Froude Number^2/Mixing Parameter
Mixing Parameter given Dimensionless Estuary number
Go Mixing Parameter = Froude Number^2/Dimensionless estuary number

Froude Number given Dimensionless Estuary number Formula

Froude Number = sqrt((Dimensionless estuary number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism)
Fr = sqrt((E*Qr*T)/P)

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 Froude Number given Dimensionless Estuary number?

Froude Number given Dimensionless Estuary number calculator uses Froude Number = sqrt((Dimensionless estuary number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism) to calculate the Froude Number, Froude Number given Dimensionless Estuary number is measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at cross section or between boulders. Froude Number is denoted by Fr symbol.

How to calculate Froude Number given Dimensionless Estuary number using this online calculator? To use this online calculator for Froude Number given Dimensionless Estuary number, enter Dimensionless estuary number (E), Fresh Water River Flow (Qr), Tidal Period (T) & Volume of Tidal Prism (P) and hit the calculate button. Here is how the Froude Number given Dimensionless Estuary number calculation can be explained with given input values -> 10.00012 = sqrt((6.154*5*130)/40).

FAQ

What is Froude Number given Dimensionless Estuary number?
Froude Number given Dimensionless Estuary number is measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at cross section or between boulders and is represented as Fr = sqrt((E*Qr*T)/P) or Froude Number = sqrt((Dimensionless estuary number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism). Dimensionless estuary number has the advantage over the stratification number that its parameters can be rather easily evaluated, 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 an efficient way of guesstimating how much water there is, at any given time of day, over a particular point & 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.
How to calculate Froude Number given Dimensionless Estuary number?
Froude Number given Dimensionless Estuary number is measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at cross section or between boulders is calculated using Froude Number = sqrt((Dimensionless estuary number*Fresh Water River Flow*Tidal Period)/Volume of Tidal Prism). To calculate Froude Number given Dimensionless Estuary number, you need Dimensionless estuary number (E), Fresh Water River Flow (Qr), Tidal Period (T) & Volume of Tidal Prism (P). With our tool, you need to enter the respective value for Dimensionless estuary number, Fresh Water River Flow, Tidal Period & Volume of Tidal Prism 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 Froude Number?
In this formula, Froude Number uses Dimensionless estuary number, Fresh Water River Flow, Tidal Period & Volume of Tidal Prism. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Froude Number = sqrt(Dimensionless estuary number*Mixing Parameter)
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