✖Maximum Horizontal Velocity at a Node refers to the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation.ⓘ Maximum Horizontal Velocity at a Node [V_max]			+10% -10%
✖Standing Wave Height of Ocean results when two equal waves are going in opposite direction.ⓘ Standing Wave Height of Ocean [H_w]			+10% -10%

✖Depth of Water is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Maximum Horizontal Velocity at Node [D_w]

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Formula

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Water Depth given Maximum Horizontal Velocity at Node

Formula

`"D"_{"w"} = "[g]"/("V"_{"max"}/("H"_{"w"}/2))^2`

Example

`"105.4m"="[g]"/("554.5413m/h"/("1.01m"/2))^2`

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Download Important Formulas of Harbor Oscillation Formulas PDF PDF Image

Water Depth given Maximum Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2
D_w = [g]/(V_max/(H_w/2))^2
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Depth of Water - (Measured in Meter) - Depth of Water is the depth as measured from the water level to the bottom of the considered water body.
Maximum Horizontal Velocity at a Node - (Measured in Meter per Second) - Maximum Horizontal Velocity at a Node refers to the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation.
Standing Wave Height of Ocean - (Measured in Meter) - Standing Wave Height of Ocean results when two equal waves are going in opposite direction.

STEP 1: Convert Input(s) to Base Unit

Maximum Horizontal Velocity at a Node: 554.5413 Meter per Hour --> 0.15403925 Meter per Second (Check conversion here)
Standing Wave Height of Ocean: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_w = [g]/(V_max/(H_w/2))^2 --> [g]/(0.15403925/(1.01/2))^2

Evaluating ... ...

D_w = 105.400007302514

STEP 3: Convert Result to Output's Unit

105.400007302514 Meter --> No Conversion Required

FINAL ANSWER

105.400007302514 ≈ 105.4 Meter <-- Depth of Water

(Calculation completed in 00.006 seconds)

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< 11 Important Formulas of Harbor Oscillation Calculators

Natural Free Oscillation Period

Go Natural Free Oscillating Period of a Basin = (2/sqrt([g]*Water Depth at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis of Basin/Basin Dimensions along the Y-axis)^2)^-0.5

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length (Helmholtz Mode)+Additional Length of the Channel)*Surface Area of Bay/([g]*Cross Sectional Area))

Additional Length

Go Additional Length of the Channel = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Channel Length (Helmholtz Mode)

Basin Length along Axis in Open Basin

Go Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4

Average Horizontal Velocity at Node

Go Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin

Natural Free Oscillation Period for Open Basin

Go Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))

Natural Free Oscillation Period for Closed Basin

Go Natural Free Oscillating Period of a Basin = (2*Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water))

Standing Wave Height given Maximum Horizontal Velocity at Node

Go Standing Wave Height of Ocean = (Maximum Horizontal Velocity at a Node/sqrt([g]/Depth of Water))*2

Maximum Horizontal Velocity at Node

Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Go Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Water Depth given Maximum Horizontal Velocity at Node

Go Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2

Water Depth given Maximum Horizontal Velocity at Node Formula

Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2
D_w = [g]/(V_max/(H_w/2))^2

What is a Standing Wave in the Ocean?

Standing waves result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress. These are common in coastal areas where waves reflect off seawalls, ship's hulls, or breakwaters.

How to Calculate Water Depth given Maximum Horizontal Velocity at Node?

Water Depth given Maximum Horizontal Velocity at Node calculator uses Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2 to calculate the Depth of Water, The Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance. Depth of Water is denoted by D_w symbol.

How to calculate Water Depth given Maximum Horizontal Velocity at Node using this online calculator? To use this online calculator for Water Depth given Maximum Horizontal Velocity at Node, enter Maximum Horizontal Velocity at a Node (V_max) & Standing Wave Height of Ocean (H_w) and hit the calculate button. Here is how the Water Depth given Maximum Horizontal Velocity at Node calculation can be explained with given input values -> 105.4 = [g]/(0.15403925/(1.01/2))^2.

FAQ

What is Water Depth given Maximum Horizontal Velocity at Node?

The Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance and is represented as D_w = [g]/(V_max/(H_w/2))^2 or Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2. Maximum Horizontal Velocity at a Node refers to the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation & Standing Wave Height of Ocean results when two equal waves are going in opposite direction.

How to calculate Water Depth given Maximum Horizontal Velocity at Node?

The Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance is calculated using Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2. To calculate Water Depth given Maximum Horizontal Velocity at Node, you need Maximum Horizontal Velocity at a Node (V_max) & Standing Wave Height of Ocean (H_w). With our tool, you need to enter the respective value for Maximum Horizontal Velocity at a Node & Standing Wave Height of Ocean 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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