Average Area over Channel Length for Flow through Inlet into Bay Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow
Aavg = (Ab*dBay)/Vavg
This formula uses 4 Variables
Variables Used
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.
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.
Change of Bay Elevation with Time - Change of Bay Elevation with Time is calculated with the average area over the channel length, average velocity in the channel for flow, and surface area of the bay.
Average Velocity in Channel for Flow - (Measured in Meter per Second) - Average Velocity in Channel for flow through inlet into the bay.
STEP 1: Convert Input(s) to Base Unit
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required
Change of Bay Elevation with Time: 20 --> No Conversion Required
Average Velocity in Channel for Flow: 3.75 Meter per Second --> 3.75 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Aavg = (Ab*dBay)/Vavg --> (1.5001*20)/3.75
Evaluating ... ...
Aavg = 8.00053333333333
STEP 3: Convert Result to Output's Unit
8.00053333333333 Square Meter --> No Conversion Required
FINAL ANSWER
8.00053333333333 8.000533 Square Meter <-- Average Area over the Channel Length
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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25 Inlet Currents and Tidal Elevations Calculators

Ocean Tide Amplitude using King's Dimensionless Velocity
Go 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 Channel Length using King's Dimensionless Velocity
Go Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle
Go Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period)
Surface Area of Bay using King's Dimensionless Velocity
Go Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude)
Tidal Period using King's Dimensionless Velocity
Go 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)
King's Dimensionless Velocity
Go King’s Dimensionless Velocity = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(2*pi*Ocean Tide Amplitude*Surface Area of Bay)
Inlet Hydraulic Radius given Inlet Impedance
Go Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient))
Entrance Energy Loss Coefficient given Inlet Impedance
Go Entrance Energy Loss Coefficient = Inlet Impedance-Exit Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Darcy - Weisbach Friction Term given Inlet Impedance
Go Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length
Exit Energy Loss Coefficient given Inlet Impedance
Go Exit Energy Loss Coefficient = Inlet Impedance-Entrance Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Impedance
Go Inlet Impedance = Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Length given Inlet Impedance
Go Inlet Length = 4*Hydraulic Radius*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Dimensionless Parameter
Duration of Inflow given Inlet Channel Velocity
Go Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity
Go Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)
Inlet Channel Velocity
Go Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period)
Change of Bay Elevation with Time for Flow through Inlet into Bay
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
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
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
Go Surface Area of Bay = (Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time
Inlet Friction Coefficient Parameter given Keulegan Repletion Coefficient
Go King’s 1st Inlet Friction Coefficient = sqrt(1/King’s Inlet Friction Coefficient)/(Keulegan Repletion Coefficient [dimensionless])
Keulegan Repletion Coefficient
Go Keulegan Repletion Coefficient [dimensionless] = 1/King’s 1st Inlet Friction Coefficient*sqrt(1/King’s Inlet Friction Coefficient)
Inlet Friction Coefficient given Keulegan Repletion Coefficient
Go King’s Inlet Friction Coefficient = 1/(Keulegan Repletion Coefficient [dimensionless]*King’s 1st Inlet Friction Coefficient)^2
Hydraulic Radius given Dimensionless Parameter
Go Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3
Surface Area of Bay given Tidal Prism Filling Bay
Go Surface Area of Bay = Tidal Prism Filling Bay/(2*Bay Tide Amplitude)
Bay Tide Amplitude given Tidal Prism Filling Bay
Go Bay Tide Amplitude = Tidal Prism Filling Bay/(2*Surface Area of Bay)

Average Area over Channel Length for Flow through Inlet into Bay Formula

Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow
Aavg = (Ab*dBay)/Vavg

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 Average Area over Channel Length for Flow through Inlet into Bay?

Average Area over Channel Length for Flow through Inlet into Bay calculator uses Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow to calculate the Average Area over the Channel Length, The Average Area over Channel Length for Flow through Inlet into Bay formula is defined as the area parameter over which the flow occurs into the bay influencing the Average Velocity in Channel. Average Area over the Channel Length is denoted by Aavg symbol.

How to calculate Average Area over Channel Length for Flow through Inlet into Bay using this online calculator? To use this online calculator for Average Area over Channel Length for Flow through Inlet into Bay, enter Surface Area of Bay (Ab), Change of Bay Elevation with Time (dBay) & Average Velocity in Channel for Flow (Vavg) and hit the calculate button. Here is how the Average Area over Channel Length for Flow through Inlet into Bay calculation can be explained with given input values -> 8 = (1.5001*20)/3.75.

FAQ

What is Average Area over Channel Length for Flow through Inlet into Bay?
The Average Area over Channel Length for Flow through Inlet into Bay formula is defined as the area parameter over which the flow occurs into the bay influencing the Average Velocity in Channel and is represented as Aavg = (Ab*dBay)/Vavg or Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow. Surface Area of Bay is defined as a small body of water set off from the main body, Change of Bay Elevation with Time is calculated with the average area over the channel length, average velocity in the channel for flow, and surface area of the bay & Average Velocity in Channel for flow through inlet into the bay.
How to calculate Average Area over Channel Length for Flow through Inlet into Bay?
The Average Area over Channel Length for Flow through Inlet into Bay formula is defined as the area parameter over which the flow occurs into the bay influencing the Average Velocity in Channel is calculated using Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow. To calculate Average Area over Channel Length for Flow through Inlet into Bay, you need Surface Area of Bay (Ab), Change of Bay Elevation with Time (dBay) & Average Velocity in Channel for Flow (Vavg). With our tool, you need to enter the respective value for Surface Area of Bay, Change of Bay Elevation with Time & Average Velocity in Channel for Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Average Area over the Channel Length?
In this formula, Average Area over the Channel Length uses Surface Area of Bay, Change of Bay Elevation with Time & Average Velocity in Channel for Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity)
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