Tidal Period using King's Dimensionless Velocity Calculator

✖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%
✖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%
✖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 using King's Dimensionless Velocity [T]

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Tidal Period using King's Dimensionless Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
King’s Dimensionless Velocity: 110 --> No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*pi*a_o*A_b*V'_m)/(A_avg*V_m) --> (2*pi*4*1.5001*110)/(8*4.1)

Evaluating ... ...

T = 126.43837691744

STEP 3: Convert Result to Output's Unit

126.43837691744 Second --> No Conversion Required

FINAL ANSWER

126.43837691744 ≈ 126.4384 Second <-- Tidal Period

(Calculation completed in 00.004 seconds)

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

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

Tidal Period 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 Tidal Period using King's Dimensionless Velocity?

Tidal Period using King's Dimensionless Velocity calculator uses Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity) to calculate the Tidal Period, The Tidal Period using King's Dimensionless Velocity formula is defined as an efficient way of estimating how much water there is, at any given time of day, over a particular point. Tidal Period is denoted by T symbol.

How to calculate Tidal Period using King's Dimensionless Velocity using this online calculator? To use this online calculator for Tidal Period using King's Dimensionless Velocity, enter Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), King’s Dimensionless Velocity (V'_m), Average Area over the Channel Length (A_avg) & Maximum Cross Sectional Average Velocity (V_m) and hit the calculate button. Here is how the Tidal Period using King's Dimensionless Velocity calculation can be explained with given input values -> 126.4299 = (2*pi*4*1.5001*110)/(8*4.1).

FAQ

What is Tidal Period using King's Dimensionless Velocity?

The Tidal Period using King's Dimensionless Velocity formula is defined as an efficient way of estimating how much water there is, at any given time of day, over a particular point and is represented as T = (2*pi*a_o*A_b*V'_m)/(A_avg*V_m) or Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity). 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, King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed, 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.

How to calculate Tidal Period using King's Dimensionless Velocity?

The Tidal Period using King's Dimensionless Velocity formula is defined as an efficient way of estimating how much water there is, at any given time of day, over a particular point is calculated using Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity). To calculate Tidal Period using King's Dimensionless Velocity, you need Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), King’s Dimensionless Velocity (V'_m), Average Area over the Channel Length (A_avg) & Maximum Cross Sectional Average Velocity (V_m). With our tool, you need to enter the respective value for Ocean Tide Amplitude, Surface Area of Bay, King’s Dimensionless Velocity, Average Area over the Channel Length & 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.

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