Tidal Period using King's Dimensionless Variable Calculator

✖King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.ⓘ King’s Dimensionless Variable for Freshwater [Qr']			+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%
✖River or Freshwater Inflow to a Bay is the water that is less saline than marine water.ⓘ River or Freshwater Inflow to a Bay [Qr]			+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 Variable [T]

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Tidal Period using King's Dimensionless Variable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay
T = (Qr'*2*pi*a_o*A_b)/Qr
This formula uses 1 Constants, 5 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.
King’s Dimensionless Variable for Freshwater - King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.
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.
River or Freshwater Inflow to a Bay - (Measured in Cubic Meter per Second) - River or Freshwater Inflow to a Bay is the water that is less saline than marine water.

STEP 1: Convert Input(s) to Base Unit

King’s Dimensionless Variable for Freshwater: 0.57 --> 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
River or Freshwater Inflow to a Bay: 10 Cubic Meter per Minute --> 0.166666666666667 Cubic Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (Qr'*2*pi*a_o*A_b)/Qr --> (0.57*2*pi*4*1.5001)/0.166666666666667

Evaluating ... ...

T = 128.939557900825

STEP 3: Convert Result to Output's Unit

128.939557900825 Second --> No Conversion Required

FINAL ANSWER

128.939557900825 ≈ 128.9396 Second <-- Tidal Period

(Calculation completed in 00.017 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamics of Tidal Inlets 1 » Inlet Hydrodynamics » Bay Superelevation, Effect of Freshwater Inflow, Multiple Inlets and Wave Current Interaction » Effect of Freshwater Inflow » Tidal Period using King's Dimensionless Variable

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< Effect of Freshwater Inflow Calculators

Ocean Tide Amplitude using King's Dimensionless Variable

LaTeX Go Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay)

River or Freshwater Inflow to Bay using King's Dimensionless Variable

LaTeX Go River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period

Tidal Period using King's Dimensionless Variable

LaTeX Go Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay

King's Dimensionless Variable

LaTeX Go King’s Dimensionless Variable for Freshwater = River or Freshwater Inflow to a Bay*Tidal Period/(2*pi*Ocean Tide Amplitude*Surface Area of Bay)

Tidal Period using King's Dimensionless Variable Formula

LaTeX Go

Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay
T = (Qr'*2*pi*a_o*A_b)/Qr

What is Ocean Tide?

Tides are caused by gravitational pull of the moon and the sun. Tides are very long-period waves that move through the oceans in response to the forces exerted by the moon and sun. Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface.

What are the Effect of Freshwater Inflow?

If a significant amount of fresh water is introduced into the bay relative to the tidal prism of the inlet, there will be significant changes in bay tide range and velocity through the inlet. King (1974) included freshwater inflow into a Keulegan type model (which did not include the inertial term in the 1-D equation of motion).

How to Calculate Tidal Period using King's Dimensionless Variable?

Tidal Period using King's Dimensionless Variable calculator uses Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay to calculate the Tidal Period, The Tidal Period using King's Dimensionless Variable 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 Variable using this online calculator? To use this online calculator for Tidal Period using King's Dimensionless Variable, enter King’s Dimensionless Variable for Freshwater (Qr'), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b) & River or Freshwater Inflow to a Bay (Qr) and hit the calculate button. Here is how the Tidal Period using King's Dimensionless Variable calculation can be explained with given input values -> 128.931 = (0.57*2*pi*4*1.5001)/0.166666666666667.

FAQ

What is Tidal Period using King's Dimensionless Variable?

The Tidal Period using King's Dimensionless Variable 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 = (Qr'*2*pi*a_o*A_b)/Qr or Tidal Period = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay. King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly, 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 & River or Freshwater Inflow to a Bay is the water that is less saline than marine water.

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

The Tidal Period using King's Dimensionless Variable 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 = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/River or Freshwater Inflow to a Bay. To calculate Tidal Period using King's Dimensionless Variable, you need King’s Dimensionless Variable for Freshwater (Qr'), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b) & River or Freshwater Inflow to a Bay (Qr). With our tool, you need to enter the respective value for King’s Dimensionless Variable for Freshwater, Ocean Tide Amplitude, Surface Area of Bay & River or Freshwater Inflow to a 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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