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

✖King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed.ⓘ King’s Dimensionless Velocity [V'_m]			+10% -10%
✖Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.ⓘ Ocean Tide Amplitude [a_o]			+10% -10%
✖Surface Area of Bay is defined as a small body of water set off from the main body.ⓘ Surface Area of Bay [A_b]			+10% -10%
✖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.ⓘ Tidal Period [T]			+10% -10%
✖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.ⓘ Maximum Cross Sectional Average Velocity [V_m]			+10% -10%

✖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.ⓘ Average Area over Channel Length using King's Dimensionless Velocity [A_avg]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
A_avg = (V'_m*2*pi*a_o*A_b)/(T*V_m)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Average Area over the Channel Length - (Measured in Square Meter) - 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.
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.
Ocean Tide Amplitude - (Measured in Meter) - Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.
Surface Area of Bay - (Measured in Square Meter) - Surface Area of Bay is defined as a small body of water set off from the main body.
Tidal Period - (Measured in Second) - 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.
Maximum Cross Sectional Average Velocity - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

King’s Dimensionless Velocity: 110 --> No Conversion Required
Ocean Tide Amplitude: 4 Meter --> 4 Meter No Conversion Required
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required
Tidal Period: 130 Second --> 130 Second No Conversion Required
Maximum Cross Sectional Average Velocity: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_avg = (V'_m*2*pi*a_o*A_b)/(T*V_m) --> (110*2*pi*4*1.5001)/(130*4.1)

Evaluating ... ...

A_avg = 7.7808231949194

STEP 3: Convert Result to Output's Unit

7.7808231949194 Square Meter --> No Conversion Required

FINAL ANSWER

7.7808231949194 ≈ 7.780823 Square Meter <-- Average Area over the Channel Length

(Calculation completed in 00.021 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamics of Tidal Inlets 1 » Inlet Hydrodynamics » Inlet Currents and Tidal Elevations » Average Area over Channel Length using King's Dimensionless Velocity

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< Inlet Currents and Tidal Elevations Calculators

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

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

Average Area over Channel Length for Flow through Inlet into Bay

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

Average Velocity in Channel for Flow through Inlet into Bay

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

Surface Area of Bay for Flow through Inlet into Bay

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

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

LaTeX Go

What is Seiches?

Seiches are standing waves or oscillations of the free surface of a body of water in a closed or semi-closed basin. These oscillations are of relatively long periods, extending from minutes in harbours and bays to over 10 hr in the Great Lakes. Any external perturbation to the lake or embayment can force an oscillation. In harbours, the forcing can be the result of short waves and wave groups at the harbour entrance. Examples include 30- to 400-sec wave-forced oscillations in the Los Angeles-Long Beach harbour (Seabergh 1985).

What is Inlet flow Pattern & Tidal Prism?

An Inlet has a "gorge" where flows converge before they expand again on the opposite side. Shoal (shallow) areas that extend backward and oceanward from the gorge depend on inlet hydraulics, wave conditions, and general geomorphology. All these interact to determine flow patterns in and around the inlet and locations where flow channels occur.
A Tidal Prism is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide. The inter-tidal prism volume can be expressed by the relationship: P=H A, where H is the average tidal range and A is the average surface area of the basin.

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

Average Area over Channel Length using King's Dimensionless Velocity calculator 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 calculate 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 calculate Average Area over Channel Length using King's Dimensionless Velocity using this online calculator? To use this online calculator 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. Here is how the Average Area over Channel Length using King's Dimensionless Velocity calculation can be explained with given input values -> 7.780305 = (110*2*pi*4*1.5001)/(130*4.1).

FAQ

What is Average Area over Channel Length using King's Dimensionless Velocity?

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 and is represented as A_avg = (V'_m*2*pi*a_o*A_b)/(T*V_m) or 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). King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed, Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun, Surface Area of Bay is defined as a small body of water set off from the main body, 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 & 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.

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

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 is calculated using 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 calculate Average Area over Channel Length using King's Dimensionless Velocity, you need 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). With our tool, you need to enter the respective value for King’s Dimensionless Velocity, Ocean Tide Amplitude, Surface Area of Bay, Tidal Period & Maximum Cross Sectional Average Velocity 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 Average Area over the Channel Length?

In this formula, Average Area over the Channel Length uses King’s Dimensionless Velocity, Ocean Tide Amplitude, Surface Area of Bay, Tidal Period & Maximum Cross Sectional Average Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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