River or Freshwater Inflow to Bay 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%
✖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%

✖River or Freshwater Inflow to a Bay is the water that is less saline than marine water.ⓘ River or Freshwater Inflow to Bay using King's Dimensionless Variable [Qr]

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

STEP 0: Pre-Calculation Summary

Formula Used

River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period
Qr = (Qr'*2*pi*a_o*A_b)/T
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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
Tidal Period: 130 Second --> 130 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Qr = (Qr'*2*pi*a_o*A_b)/T --> (0.57*2*pi*4*1.5001)/130

Evaluating ... ...

Qr = 0.165307125513879

STEP 3: Convert Result to Output's Unit

0.165307125513879 Cubic Meter per Second -->9.91842753083272 Cubic Meter per Minute (Check conversion here)

FINAL ANSWER

9.91842753083272 ≈ 9.918428 Cubic Meter per Minute <-- River or Freshwater Inflow to a 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 » Bay Superelevation, Effect of Freshwater Inflow, Multiple Inlets and Wave Current Interaction » Effect of Freshwater Inflow » River or Freshwater Inflow to Bay 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)

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

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
Qr = (Qr'*2*pi*a_o*A_b)/T

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

River or Freshwater Inflow to Bay using King's Dimensionless Variable calculator uses River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period to calculate the River or Freshwater Inflow to a Bay, The River or Freshwater Inflow to Bay using King's Dimensionless Variable formula is defined as the measure of the average volume of incoming water per unit of time into the bay. River or Freshwater Inflow to a Bay is denoted by Qr symbol.

How to calculate River or Freshwater Inflow to Bay using King's Dimensionless Variable using this online calculator? To use this online calculator for River or Freshwater Inflow to Bay using King's Dimensionless Variable, enter King’s Dimensionless Variable for Freshwater (Qr'), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b) & Tidal Period (T) and hit the calculate button. Here is how the River or Freshwater Inflow to Bay using King's Dimensionless Variable calculation can be explained with given input values -> 595.066 = (0.57*2*pi*4*1.5001)/130.

FAQ

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

The River or Freshwater Inflow to Bay using King's Dimensionless Variable formula is defined as the measure of the average volume of incoming water per unit of time into the bay and is represented as Qr = (Qr'*2*pi*a_o*A_b)/T or River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period. 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 & 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.

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

The River or Freshwater Inflow to Bay using King's Dimensionless Variable formula is defined as the measure of the average volume of incoming water per unit of time into the bay is calculated using River or Freshwater Inflow to a Bay = (King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/Tidal Period. To calculate River or Freshwater Inflow to Bay 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) & Tidal Period (T). With our tool, you need to enter the respective value for King’s Dimensionless Variable for Freshwater, Ocean Tide Amplitude, Surface Area of Bay & Tidal Period 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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