Surface Area of Bay using King's Dimensionless Velocity Calculator

✖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 the Channel Length [A_avg]			+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%
✖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 using King's Dimensionless Velocity [A_b]

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Surface Area of Bay using King's Dimensionless Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude)
A_b = (A_avg*T*V_m)/(V'_m*2*pi*a_o)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Average Area over the Channel Length: 8 Square Meter --> 8 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
King’s Dimensionless Velocity: 110 --> No Conversion Required
Ocean Tide Amplitude: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_b = (A_avg*T*V_m)/(V'_m*2*pi*a_o) --> (8*130*4.1)/(110*2*pi*4)

Evaluating ... ...

A_b = 1.54235608487237

STEP 3: Convert Result to Output's Unit

1.54235608487237 Square Meter --> No Conversion Required

FINAL ANSWER

1.54235608487237 ≈ 1.542356 Square Meter <-- Surface Area of Bay

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamics of Tidal Inlets 1 » Inlet Hydrodynamics » Inlet Currents and Tidal Elevations » Surface Area of Bay using King's Dimensionless Velocity

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Surface Area of Bay using King's Dimensionless Velocity Formula

LaTeX Go

What are 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 Surface Area of Bay using King's Dimensionless Velocity?

Surface Area of Bay using King's Dimensionless Velocity calculator uses Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude) to calculate the Surface Area of Bay, The Surface Area of Bay using King's Dimensionless Velocity formula is defined as the area of a small body of water set off from the main body. Surface Area of Bay is denoted by A_b symbol.

How to calculate Surface Area of Bay using King's Dimensionless Velocity using this online calculator? To use this online calculator for Surface Area of Bay using King's Dimensionless Velocity, enter Average Area over the Channel Length (A_avg), Tidal Period (T), Maximum Cross Sectional Average Velocity (V_m), King’s Dimensionless Velocity (V'_m) & Ocean Tide Amplitude (a_o) and hit the calculate button. Here is how the Surface Area of Bay using King's Dimensionless Velocity calculation can be explained with given input values -> 1.542356 = (8*130*4.1)/(110*2*pi*4).

FAQ

What is Surface Area of Bay using King's Dimensionless Velocity?

The Surface Area of Bay using King's Dimensionless Velocity formula is defined as the area of a small body of water set off from the main body and is represented as A_b = (A_avg*T*V_m)/(V'_m*2*pi*a_o) or Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude). 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, 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, 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.

How to calculate Surface Area of Bay using King's Dimensionless Velocity?

The Surface Area of Bay using King's Dimensionless Velocity formula is defined as the area of a small body of water set off from the main body is calculated using Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude). To calculate Surface Area of Bay using King's Dimensionless Velocity, you need Average Area over the Channel Length (A_avg), Tidal Period (T), Maximum Cross Sectional Average Velocity (V_m), King’s Dimensionless Velocity (V'_m) & Ocean Tide Amplitude (a_o). With our tool, you need to enter the respective value for Average Area over the Channel Length, Tidal Period, Maximum Cross Sectional Average Velocity, King’s Dimensionless Velocity & Ocean Tide Amplitude 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 Surface Area of Bay?

In this formula, Surface Area of Bay uses Average Area over the Channel Length, Tidal Period, Maximum Cross Sectional Average Velocity, King’s Dimensionless Velocity & Ocean Tide Amplitude. We can use 2 other way(s) to calculate the same, which is/are as follows -

Surface Area of Bay = (Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time
Surface Area of Bay = Tidal Prism Filling Bay/(2*Bay Tide Amplitude)

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