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

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✖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.ⓘ Dimensionless Drawdown [D_d]			+10% -10%
✖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.ⓘ Vessel Blockage Ratio [S]			+10% -10%

✖Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio [Fr]

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

Formula

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

Example

0.589028 = \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

STEP 0: Pre-Calculation Summary

Formula Used

Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2))
Fr = sqrt((2*D_d*(1-D_d-S)^2)/(1-(1-D_d-S)^2))
This formula uses 1 Functions, 3 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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Drawdown: 0.4 --> No Conversion Required
Vessel Blockage Ratio: 0.05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fr = sqrt((2*D_d*(1-D_d-S)^2)/(1-(1-D_d-S)^2)) --> sqrt((2*0.4*(1-0.4-0.05)^2)/(1-(1-0.4-0.05)^2))

Evaluating ... ...

Fr = 0.589027507861832

STEP 3: Convert Result to Output's Unit

0.589027507861832 --> No Conversion Required

FINAL ANSWER

0.589027507861832 ≈ 0.589028 <-- Froude Number

(Calculation completed in 00.004 seconds)

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

What is Froude Law?

This is Froude's Law, that the speed attainable by a creature or a ship is proportional to the square root of its scale. Froude number (Fr), in hydrology and fluid mechanics, dimensionless quantity used to indicate the influence of gravity on fluid motion.

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

Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio calculator uses Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)) to calculate 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 calculate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio using this online calculator? To use this online calculator 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. Here is how the Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio calculation can be explained with given input values -> 0.589028 = sqrt((2*0.4*(1-0.4-0.05)^2)/(1-(1-0.4-0.05)^2)).

FAQ

What is Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio?

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 and is represented as Fr = sqrt((2*D_d*(1-D_d-S)^2)/(1-(1-D_d-S)^2)) or Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)). 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 & 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.

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

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 is calculated using Froude Number = sqrt((2*Dimensionless Drawdown*(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)/(1-(1-Dimensionless Drawdown-Vessel Blockage Ratio)^2)). To calculate Continuity and Energy Equations given Froude Number, Drawdown and Vessel Blockage Ratio, you need Dimensionless Drawdown (D_d) & Vessel Blockage Ratio (S). With our tool, you need to enter the respective value for Dimensionless Drawdown & Vessel Blockage Ratio 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 Drawdown & Vessel Blockage Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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