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Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Formula

GoFroude Number where Particle Motion in Vessel generated Waves does not Reach Bottom Formula

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Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders. Check FAQs

Fr = \sqrt{\frac{2 \cdot D d \cdot {(1 - D d - S)}^{2}}{1 - {(1 - D d - S)}^{2}}}

Fr - Froude Number?D_d - Dimensionless Drawdown?S - Vessel Blockage Ratio?

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Example

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Here is how the Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio equation looks like with Values.

Here is how the Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio equation looks like with Units.

Here is how the Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio equation looks like.

0.589 = \sqrt{\frac{2 \cdot 0.4 \cdot {(1 - 0.4 - 0.05)}^{2}}{1 - {(1 - 0.4 - 0.05)}^{2}}}

0.589 = \sqrt{\frac{2 \cdot 0.4 \cdot {(1 - 0.4 - 0.05)}^{2}}{1 - {(1 - 0.4 - 0.05)}^{2}}}

0.589 = \sqrt{\frac{2 \cdot 0.4 \cdot {(1 - 0.4 - 0.05)}^{2}}{1 - {(1 - 0.4 - 0.05)}^{2}}}

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Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Solution

Follow our step by step solution on how to calculate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

FIRST Step Consider the formula

Fr = \sqrt{\frac{2 \cdot D d \cdot {(1 - D d - S)}^{2}}{1 - {(1 - D d - S)}^{2}}}

Next Step Substitute values of Variables

∴

Fr = \sqrt{\frac{2 \cdot 0.4 \cdot {(1 - 0.4 - 0.05)}^{2}}{1 - {(1 - 0.4 - 0.05)}^{2}}}

Next Step Prepare to Evaluate

∴

Fr = \sqrt{\frac{2 \cdot 0.4 \cdot {(1 - 0.4 - 0.05)}^{2}}{1 - {(1 - 0.4 - 0.05)}^{2}}}

Next Step Evaluate

∴

Fr = 0.589027507861832

LAST Step Rounding Answer

∴

Fr = 0.589

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Formula Elements

Variables

Functions

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.

Symbol: Fr

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Froude Number

Dimensionless Drawdown

Dimensionless Drawdown is a normalized measure used in hydrology and coastal engineering to describe the change in hydraulic head relative to a reference point, typically the initial water level.

Symbol: D_d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Drawdown

Vessel Blockage Ratio

Vessel Blockage Ratio is a measure used in maritime engineering and hydrodynamics to describe the extent to which a vessel occupies a waterway, such as a canal, river, or lock.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vessel Blockage Ratio

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.

Syntax: sqrt(Number)

Other Formulas to find Froude Number

Go Froude Number where Particle Motion in Vessel generated Waves does not Reach Bottom

Fr = \frac{V s}{\sqrt{[g] \cdot D}}

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

Go Average per Cycle Exchange Coefficient

E = 1 - \frac{{(\frac{C i}{C o})}^{1}}{i}

Go Initial Concentration of Substance in Harbor Water

C o = \frac{C i}{{(1 - E)}^{i}}

Go Concentration of Substance after i Tidal Cycles

C i = C o \cdot {(1 - E)}^{i}

Go Individual Wave Celerity created by Moving Vessel

C = V s \cdot \cos (θ)

How to Evaluate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio evaluator uses Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)) to evaluate the Froude Number, The Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio formula is defined as a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders. Froude Number is denoted by Fr symbol.

How to evaluate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio using this online evaluator? To use this online evaluator for Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio, enter Dimensionless Drawdown (D_d) & Vessel Blockage Ratio (S) and hit the calculate button.

FAQs on Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio

What is the formula to find Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

The formula of Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio is expressed as Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)). Here is an example- 0.589028 = sqrt((2*0.4*(1-0.4-0.05)^2)/(1-(1-0.4-0.05)^2)).

How to calculate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

With Dimensionless Drawdown (D_d) & Vessel Blockage Ratio (S) we can find Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio using the formula - Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Froude Number?

Here are the different ways to Calculate Froude Number-

Froude Number=Vessel Speed/sqrt([g]*Water Depth)

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Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Formula

​GoFroude Number where Particle Motion in Vessel generated Waves does not Reach Bottom Formula

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Example

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Solution

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio Formula Elements

Other Formulas to find Froude Number

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

How to Evaluate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

FAQs on Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio

Variable Name

GoFroude Number where Particle Motion in Vessel generated Waves does not Reach Bottom Formula