Surface Area of Bay or Basin using King's Dimensionless Variable Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area of Bay = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude)
Ab = (Qr*T)/(Qr'*2*pi*ao)
This formula uses 1 Constants, 5 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
River or Freshwater Inflow to a Bay: 10 Cubic Meter per Minute --> 0.166666666666667 Cubic Meter per Second (Check conversion ​here)
Tidal Period: 130 Second --> 130 Second No Conversion Required
King’s Dimensionless Variable for Freshwater: 0.57 --> No Conversion Required
Ocean Tide Amplitude: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ab = (Qr*T)/(Qr'*2*pi*ao) --> (0.166666666666667*130)/(0.57*2*pi*4)
Evaluating ... ...
Ab = 1.51243732470369
STEP 3: Convert Result to Output's Unit
1.51243732470369 Square Meter --> No Conversion Required
FINAL ANSWER
1.51243732470369 1.512437 Square Meter <-- Surface Area of Bay
(Calculation completed in 00.004 seconds)

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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)

Surface Area of Bay or Basin using King's Dimensionless Variable Formula

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

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).

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.

How to Calculate Surface Area of Bay or Basin using King's Dimensionless Variable?

Surface Area of Bay or Basin using King's Dimensionless Variable calculator uses Surface Area of Bay = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude) to calculate the Surface Area of Bay, The Surface Area of Bay or Basin using King's Dimensionless Variable 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 Ab symbol.

How to calculate Surface Area of Bay or Basin using King's Dimensionless Variable using this online calculator? To use this online calculator for Surface Area of Bay or Basin using King's Dimensionless Variable, enter River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Ocean Tide Amplitude (ao) and hit the calculate button. Here is how the Surface Area of Bay or Basin using King's Dimensionless Variable calculation can be explained with given input values -> 1.512437 = (0.166666666666667*130)/(0.57*2*pi*4).

FAQ

What is Surface Area of Bay or Basin using King's Dimensionless Variable?
The Surface Area of Bay or Basin using King's Dimensionless Variable formula is defined as the area of a small body of water set off from the main body and is represented as Ab = (Qr*T)/(Qr'*2*pi*ao) or Surface Area of Bay = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude). River or Freshwater Inflow to a Bay is the water that is less saline than marine water, 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 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.
How to calculate Surface Area of Bay or Basin using King's Dimensionless Variable?
The Surface Area of Bay or Basin using King's Dimensionless Variable 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 = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Ocean Tide Amplitude). To calculate Surface Area of Bay or Basin using King's Dimensionless Variable, you need River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Ocean Tide Amplitude (ao). With our tool, you need to enter the respective value for River or Freshwater Inflow to a Bay, Tidal Period, King’s Dimensionless Variable for Freshwater & Ocean Tide Amplitude 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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