Average Depth given Friction Factor for Propagation Velocity of Tide Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))
h' = (T*8*[g]*Vmax)/(6*pi^2*C^2*tan(Θf/0.5))
This formula uses 2 Constants, 1 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Average Depth - (Measured in Meter) - Average Depth refers to the mean depth of the entire body of 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.
Maximum Flood Current - (Measured in Cubic Meter per Second) - Maximum Flood Current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises.
Chezy's Constant - Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits.
Friction Factor in Terms of Degree - (Measured in Radian) - Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.
STEP 1: Convert Input(s) to Base Unit
Tidal Period: 130 Second --> 130 Second No Conversion Required
Maximum Flood Current: 58.832 Cubic Meter per Second --> 58.832 Cubic Meter per Second No Conversion Required
Chezy's Constant: 15 --> No Conversion Required
Friction Factor in Terms of Degree: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h' = (T*8*[g]*Vmax)/(6*pi^2*C^2*tan(Θf/0.5)) --> (130*8*[g]*58.832)/(6*pi^2*15^2*tan(0.5235987755982/0.5))
Evaluating ... ...
h' = 26.0000082728785
STEP 3: Convert Result to Output's Unit
26.0000082728785 Meter --> No Conversion Required
FINAL ANSWER
26.0000082728785 26.00001 Meter <-- Average Depth
(Calculation completed in 00.021 seconds)

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River Navigation Calculators

Tidal Period for Friction Factor and Propagation Velocity of Tide Wave
​ LaTeX ​ Go Tidal Period = (6*(pi^2)*(Chezy's Constant^2)*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(8*[g]*Maximum Flood Current)
Friction Factor for Propagation Velocity of Tide Wave
​ LaTeX ​ Go Friction Factor in Terms of Degree = 0.5*atan(Tidal Period*8*[g]*Maximum Flood Current/(6*pi^2*Chezy's Constant^2*Average Depth))
Propagation velocity of tide wave
​ LaTeX ​ Go Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2))
Average Depth given Propagation Velocity of Tide Wave
​ LaTeX ​ Go Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Formula

​LaTeX ​Go
Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))
h' = (T*8*[g]*Vmax)/(6*pi^2*C^2*tan(Θf/0.5))

What is River Navigation?

When a stretch of river is made navigable, a lock is sometimes required to bypass an obstruction such as a rapid, dam, or mill weir – because of the change in river level across the obstacle.
In large scale river navigation improvements, weirs and locks are used together. A weir will increase the depth of a shallow stretch, and the required lock will either be built in a gap in the weir, or at the downstream end of an artificial cut which bypasses the weir and perhaps a shallow stretch of river below it. A river improved by these means is often called a Waterway or River Navigation.

How to Calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

Average Depth given Friction Factor for Propagation Velocity of Tide Wave calculator uses Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)) to calculate the Average Depth, The Average Depth given Friction Factor for Propagation Velocity of Tide Wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship. Average Depth is denoted by h' symbol.

How to calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave using this online calculator? To use this online calculator for Average Depth given Friction Factor for Propagation Velocity of Tide Wave, enter Tidal Period (T), Maximum Flood Current (Vmax), Chezy's Constant (C) & Friction Factor in Terms of Degree f) and hit the calculate button. Here is how the Average Depth given Friction Factor for Propagation Velocity of Tide Wave calculation can be explained with given input values -> 26.00001 = (130*8*[g]*58.832)/(6*pi^2*15^2*tan(0.5235987755982/0.5)).

FAQ

What is Average Depth given Friction Factor for Propagation Velocity of Tide Wave?
The Average Depth given Friction Factor for Propagation Velocity of Tide Wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship and is represented as h' = (T*8*[g]*Vmax)/(6*pi^2*C^2*tan(Θf/0.5)) or Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). 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, Maximum Flood Current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises, Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits & Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.
How to calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?
The Average Depth given Friction Factor for Propagation Velocity of Tide Wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship is calculated using Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). To calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave, you need Tidal Period (T), Maximum Flood Current (Vmax), Chezy's Constant (C) & Friction Factor in Terms of Degree f). With our tool, you need to enter the respective value for Tidal Period, Maximum Flood Current, Chezy's Constant & Friction Factor in Terms of Degree 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 Depth?
In this formula, Average Depth uses Tidal Period, Maximum Flood Current, Chezy's Constant & Friction Factor in Terms of Degree. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))
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