Ocean Tide Amplitude 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%
✖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%
✖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%
✖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%
✖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%

✖Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.ⓘ Ocean Tide Amplitude using King's Dimensionless Velocity [a_o]

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Ocean Tide Amplitude using King's Dimensionless Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Average Area over the Channel Length: 8 Square Meter --> 8 Square Meter No Conversion Required
Maximum Cross Sectional Average Velocity: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Tidal Period: 130 Second --> 130 Second No Conversion Required
King’s Dimensionless Velocity: 110 --> No Conversion Required
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = (A_avg*V_m*T)/(V'_m*2*pi*A_b) --> (8*4.1*130)/(110*2*pi*1.5001)

Evaluating ... ...

a_o = 4.11267538130089

STEP 3: Convert Result to Output's Unit

4.11267538130089 Meter --> No Conversion Required

FINAL ANSWER

4.11267538130089 ≈ 4.112675 Meter <-- Ocean Tide Amplitude

(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 » Ocean Tide Amplitude 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

Ocean Tide Amplitude 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 Ocean Tide Amplitude using King's Dimensionless Velocity?

Ocean Tide Amplitude using King's Dimensionless Velocity calculator uses Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/(King’s Dimensionless Velocity*2*pi*Surface Area of Bay) to calculate the Ocean Tide Amplitude, The Ocean Tide Amplitude using King's Dimensionless Velocity formula is defined as the elevation of tidal high water above mean sea level. Ocean Tide Amplitude is denoted by a_o symbol.

How to calculate Ocean Tide Amplitude using King's Dimensionless Velocity using this online calculator? To use this online calculator for Ocean Tide Amplitude using King's Dimensionless Velocity, enter Average Area over the Channel Length (A_avg), Maximum Cross Sectional Average Velocity (V_m), Tidal Period (T), King’s Dimensionless Velocity (V'_m) & Surface Area of Bay (A_b) and hit the calculate button. Here is how the Ocean Tide Amplitude using King's Dimensionless Velocity calculation can be explained with given input values -> 4.11295 = (8*4.1*130)/(110*2*pi*1.5001).

FAQ

What is Ocean Tide Amplitude using King's Dimensionless Velocity?

The Ocean Tide Amplitude using King's Dimensionless Velocity formula is defined as the elevation of tidal high water above mean sea level and is represented as a_o = (A_avg*V_m*T)/(V'_m*2*pi*A_b) or Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/(King’s Dimensionless Velocity*2*pi*Surface Area of Bay). 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, 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, 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, King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed & Surface Area of Bay is defined as a small body of water set off from the main body.

How to calculate Ocean Tide Amplitude using King's Dimensionless Velocity?

The Ocean Tide Amplitude using King's Dimensionless Velocity formula is defined as the elevation of tidal high water above mean sea level is calculated using Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/(King’s Dimensionless Velocity*2*pi*Surface Area of Bay). To calculate Ocean Tide Amplitude using King's Dimensionless Velocity, you need Average Area over the Channel Length (A_avg), Maximum Cross Sectional Average Velocity (V_m), Tidal Period (T), King’s Dimensionless Velocity (V'_m) & Surface Area of Bay (A_b). With our tool, you need to enter the respective value for Average Area over the Channel Length, Maximum Cross Sectional Average Velocity, Tidal Period, King’s Dimensionless Velocity & Surface Area of Bay and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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