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Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Formula

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Maximum Flood Current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises. Check FAQs

V max = \frac{6 \cdot π^{2} \cdot C^{2} \cdot h' \cdot \tan (\frac{Θ f}{0.5})}{T \cdot 8 \cdot [g]}

V_max - Maximum Flood Current?C - Chezy's Constant?h' - Average Depth?Θ_f - Friction Factor in Terms of Degree?T - Tidal Period?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Example

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Here is how the Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave equation looks like with Values.

Here is how the Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave equation looks like with Units.

Here is how the Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave equation looks like.

58.832 = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26 \cdot \tan (\frac{30}{0.5})}{130 \cdot 8 \cdot 9.8066}

58.832m³/s = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26m \cdot \tan (\frac{30°}{0.5})}{130s \cdot 8 \cdot 9.8066m/s²}

58.832 = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26 \cdot \tan (\frac{30}{0.5})}{130 \cdot 8 \cdot 9.8066}

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Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Solution

Follow our step by step solution on how to calculate Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

FIRST Step Consider the formula

V max = \frac{6 \cdot π^{2} \cdot C^{2} \cdot h' \cdot \tan (\frac{Θ f}{0.5})}{T \cdot 8 \cdot [g]}

Next Step Substitute values of Variables

∴

V max = \frac{6 \cdot π^{2} \cdot 15^{2} \cdot 26m \cdot \tan (\frac{30°}{0.5})}{130s \cdot 8 \cdot [g]}

Next Step Substitute values of Constants

∴

V max = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26m \cdot \tan (\frac{30°}{0.5})}{130s \cdot 8 \cdot 9.8066m/s²}

Next Step Convert Units

∴

V max = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26m \cdot \tan (\frac{0.5236rad}{0.5})}{130s \cdot 8 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

V max = \frac{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot 26 \cdot \tan (\frac{0.5236}{0.5})}{130 \cdot 8 \cdot 9.8066}

Next Step Evaluate

∴

V max = 58.8319812803911m³/s

LAST Step Rounding Answer

∴

V max = 58.832m³/s

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Formula Elements

Variables

Constants

Functions

Maximum Flood Current

Maximum Flood Current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises.

Symbol: V_max

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Maximum Flood Current

Chezy's Constant

Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Average Depth

Average Depth refers to the mean depth of the entire body of water.

Symbol: h'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Average Depth

Friction Factor in Terms of Degree

Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.

Symbol: Θ_f

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Friction Factor in Terms of Degree

Tidal Period

Tidal Period is the time taken 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.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Tidal Period

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in River Navigation category

Go Propagation velocity of tide wave

v = \sqrt{[g] \cdot h' \cdot (1 - {\tan (Θ f)}^{2})}

Go Average Depth given Propagation Velocity of Tide Wave

h' = \frac{v^{2}}{[g] \cdot (1 - {\tan (Θ f)}^{2})}

Go Friction Factor for Propagation Velocity of Tide Wave

Θ f = 0.5 \cdot a \tan (T \cdot 8 \cdot [g] \cdot \frac{V max}{6 \cdot π^{2} \cdot C^{2} \cdot h'})

Go Tidal Period for Friction Factor and Propagation Velocity of Tide Wave

T = \frac{6 \cdot (π^{2}) \cdot (C^{2}) \cdot h' \cdot \tan (\frac{Θ f}{0.5})}{8 \cdot [g] \cdot V max}

How to Evaluate Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave evaluator uses Maximum Flood Current = (6*pi^2*Chezy's Constant^2*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(Tidal Period*8*[g]) to evaluate the Maximum Flood Current, The Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave formula is defined as the parameter influencing prediction of water depth at each shallow channel reaching at the time of arrival of ship. Maximum Flood Current is denoted by V_max symbol.

How to evaluate Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave using this online evaluator? To use this online evaluator for Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave, enter Chezy's Constant (C), Average Depth (h'), Friction Factor in Terms of Degree (Θ_f) & Tidal Period (T) and hit the calculate button.

FAQs on Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave

What is the formula to find Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

The formula of Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave is expressed as Maximum Flood Current = (6*pi^2*Chezy's Constant^2*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(Tidal Period*8*[g]). Here is an example- 58.83198 = (6*pi^2*15^2*26*tan(0.5235987755982/0.5))/(130*8*[g]).

How to calculate Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

With Chezy's Constant (C), Average Depth (h'), Friction Factor in Terms of Degree (Θ_f) & Tidal Period (T) we can find Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave using the formula - Maximum Flood Current = (6*pi^2*Chezy's Constant^2*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(Tidal Period*8*[g]). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Tangent (tan) function(s).

Can the Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave be negative?

No, the Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave can be measured.

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Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Formula

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Example

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Solution

Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave Formula Elements

Other formulas in River Navigation category

How to Evaluate Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave?

FAQs on Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave

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