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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula

GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula

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Maximum Cross Sectional Average Velocity during a tidal cycle which is the periodic rise and fall of the waters of the ocean and its inlets. Check FAQs

V m = \frac{V' m \cdot 2 \cdot π \cdot a o \cdot A b}{A avg \cdot T}

V_m - Maximum Cross Sectional Average Velocity?V'_m - King’s Dimensionless Velocity?a_o - Ocean Tide Amplitude?A_b - Surface Area of Bay?A_avg - Average Area over the Channel Length?T - Tidal Period?π - Archimedes' constant?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Example

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Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle equation looks like with Values.

Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle equation looks like with Units.

Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle equation looks like.

3.9877 = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{8 \cdot 130}

3.9877m/s = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}{8m² \cdot 130s}

3.9877 = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{8 \cdot 130}

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Solution

Follow our step by step solution on how to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

FIRST Step Consider the formula

V m = \frac{V' m \cdot 2 \cdot π \cdot a o \cdot A b}{A avg \cdot T}

Next Step Substitute values of Variables

∴

V m = \frac{110 \cdot 2 \cdot π \cdot 4m \cdot 1.5001m²}{8m² \cdot 130s}

Next Step Substitute values of Constants

∴

V m = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}{8m² \cdot 130s}

Next Step Prepare to Evaluate

∴

V m = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{8 \cdot 130}

Next Step Evaluate

∴

V m = 3.98767188739619m/s

LAST Step Rounding Answer

∴

V m = 3.9877m/s

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula Elements

Variables

Constants

Maximum Cross Sectional Average Velocity

Maximum Cross Sectional Average Velocity during a tidal cycle which is the periodic rise and fall of the waters of the ocean and its inlets.

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Maximum Cross Sectional Average Velocity

King’s Dimensionless Velocity

King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed.

Symbol: V'_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find King’s Dimensionless Velocity

Ocean Tide Amplitude

Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.

Symbol: a_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Ocean Tide Amplitude

Surface Area of Bay

Surface Area of Bay is defined as a small body of water set off from the main body.

Symbol: A_b

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Surface Area of Bay

Average Area over the Channel Length

Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.

Symbol: A_avg

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Average Area over the Channel Length

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

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

Other Formulas to find Maximum Cross Sectional Average Velocity

Go Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity

V m = \frac{c 1}{\sin (2 \cdot π \cdot \frac{t}{T})}

Other formulas in Inlet Currents and Tidal Elevations category

Go Average Velocity in Channel for Flow through Inlet into Bay

V avg = \frac{A b \cdot d Bay}{A avg}

Go Average Area over Channel Length for Flow through Inlet into Bay

A avg = \frac{A b \cdot d Bay}{V avg}

Go Surface Area of Bay for Flow through Inlet into Bay

A b = \frac{V avg \cdot A avg}{d Bay}

Go Change of Bay Elevation with Time for Flow through Inlet into Bay

d Bay = \frac{A avg \cdot V avg}{A b}

How to Evaluate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle evaluator uses Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period) to evaluate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle formula is defined as a parameter influencing King’s dimensionless velocity. Maximum Cross Sectional Average Velocity is denoted by V_m symbol.

How to evaluate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle using this online evaluator? To use this online evaluator for Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle, enter King’s Dimensionless Velocity (V'_m), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), Average Area over the Channel Length (A_avg) & Tidal Period (T) and hit the calculate button.

FAQs on Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle

What is the formula to find Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

The formula of Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle is expressed as Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period). Here is an example- 3.987406 = (110*2*pi*4*1.5001)/(8*130).

How to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

With King’s Dimensionless Velocity (V'_m), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), Average Area over the Channel Length (A_avg) & Tidal Period (T) we can find Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle using the formula - Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Cross Sectional Average Velocity?

Here are the different ways to Calculate Maximum Cross Sectional Average Velocity-

Maximum Cross Sectional Average Velocity=Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)

Can the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle be negative?

Yes, the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle, measured in Speed can be negative.

Which unit is used to measure Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle can be measured.

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula

​GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Example

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Solution

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula Elements

Other Formulas to find Maximum Cross Sectional Average Velocity

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

FAQs on Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle

Variable Name

GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula