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Average Area over Channel Length using King's Dimensionless Velocity Formula

GoAverage Area over Channel Length for Flow through Inlet into Bay Formula

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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. Check FAQs

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

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

Average Area over Channel Length using King's Dimensionless Velocity Example

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Here is how the Average Area over Channel Length using King's Dimensionless Velocity equation looks like with Values.

Here is how the Average Area over Channel Length using King's Dimensionless Velocity equation looks like with Units.

Here is how the Average Area over Channel Length using King's Dimensionless Velocity equation looks like.

7.7808 = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{130 \cdot 4.1}

7.7808m² = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}{130s \cdot 4.1m/s}

7.7808 = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{130 \cdot 4.1}

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Average Area over Channel Length using King's Dimensionless Velocity Solution

Follow our step by step solution on how to calculate Average Area over Channel Length using King's Dimensionless Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A avg = \frac{110 \cdot 2 \cdot π \cdot 4m \cdot 1.5001m²}{130s \cdot 4.1m/s}

Next Step Substitute values of Constants

∴

A avg = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}{130s \cdot 4.1m/s}

Next Step Prepare to Evaluate

∴

A avg = \frac{110 \cdot 2 \cdot 3.1416 \cdot 4 \cdot 1.5001}{130 \cdot 4.1}

Next Step Evaluate

∴

A avg = 7.7808231949194m²

LAST Step Rounding Answer

∴

A avg = 7.7808m²

Average Area over Channel Length using King's Dimensionless Velocity Formula Elements

Variables

Constants

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

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

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

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

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 Average Area over the Channel Length

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

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

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 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}

Go Tidal Period using King's Dimensionless Velocity

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

How to Evaluate Average Area over Channel Length using King's Dimensionless Velocity?

Average Area over Channel Length using King's Dimensionless Velocity evaluator uses Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity) to evaluate the Average Area over the Channel Length, The Average Area over Channel Length using King's Dimensionless Velocity formula is defined as the area parameter over which the flow occurs into the bay influencing the Average Velocity in Channel. Average Area over the Channel Length is denoted by A_avg symbol.

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

FAQs on Average Area over Channel Length using King's Dimensionless Velocity

What is the formula to find Average Area over Channel Length using King's Dimensionless Velocity?

The formula of Average Area over Channel Length using King's Dimensionless Velocity is expressed as Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity). Here is an example- 7.780305 = (110*2*pi*4*1.5001)/(130*4.1).

How to calculate Average Area over Channel Length using King's Dimensionless Velocity?

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

What are the other ways to Calculate Average Area over the Channel Length?

Here are the different ways to Calculate Average Area over the Channel Length-

Average Area over the Channel Length=(Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow

Can the Average Area over Channel Length using King's Dimensionless Velocity be negative?

Yes, the Average Area over Channel Length using King's Dimensionless Velocity, measured in Area can be negative.

Which unit is used to measure Average Area over Channel Length using King's Dimensionless Velocity?

Average Area over Channel Length using King's Dimensionless Velocity is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Average Area over Channel Length using King's Dimensionless Velocity can be measured.

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Average Area over Channel Length using King's Dimensionless Velocity Formula

​GoAverage Area over Channel Length for Flow through Inlet into Bay Formula

Average Area over Channel Length using King's Dimensionless Velocity Example

Average Area over Channel Length using King's Dimensionless Velocity Solution

Average Area over Channel Length using King's Dimensionless Velocity Formula Elements

Other Formulas to find Average Area over the Channel Length

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Average Area over Channel Length using King's Dimensionless Velocity?

FAQs on Average Area over Channel Length using King's Dimensionless Velocity

Variable Name

GoAverage Area over Channel Length for Flow through Inlet into Bay Formula