Dimensionless Wave Height Calculator

✖Characteristic wave height is originally taken as the significant wave height but more recently taken as the energy-based wave height.ⓘ Characteristic Wave Height [H]			+10% -10%
✖Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Friction Velocity [V_f]			+10% -10%

✖Dimensionless Wave Height is denoted by H' symbol.ⓘ Dimensionless Wave Height [H']

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Dimensionless Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2
H' = ([g]*H)/V_f^2
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Dimensionless Wave Height - Dimensionless Wave Height is denoted by H' symbol.
Characteristic Wave Height - (Measured in Meter) - Characteristic wave height is originally taken as the significant wave height but more recently taken as the energy-based wave height.
Friction Velocity - (Measured in Meter per Second) - Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

STEP 1: Convert Input(s) to Base Unit

Characteristic Wave Height: 110 Meter --> 110 Meter No Conversion Required
Friction Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H' = ([g]*H)/V_f^2 --> ([g]*110)/6^2

Evaluating ... ...

H' = 29.9647638888889

STEP 3: Convert Result to Output's Unit

29.9647638888889 --> No Conversion Required

FINAL ANSWER

29.9647638888889 ≈ 29.96476 <-- Dimensionless Wave Height

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Dimensionless Wave Height Formula

LaTeX Go

Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2
H' = ([g]*H)/V_f^2

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How to Calculate Dimensionless Wave Height?

Dimensionless Wave Height calculator uses Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2 to calculate the Dimensionless Wave Height, The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch. Dimensionless Wave Height is denoted by H' symbol.

How to calculate Dimensionless Wave Height using this online calculator? To use this online calculator for Dimensionless Wave Height, enter Characteristic Wave Height (H) & Friction Velocity (V_f) and hit the calculate button. Here is how the Dimensionless Wave Height calculation can be explained with given input values -> 29.96476 = ([g]*110)/6^2.

FAQ

What is Dimensionless Wave Height?

The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch and is represented as H' = ([g]*H)/V_f^2 or Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2. Characteristic wave height is originally taken as the significant wave height but more recently taken as the energy-based wave height & Friction Velocity, also called shear velocity, is a form by which a shear stress may be re-written in units of velocity.

How to calculate Dimensionless Wave Height?

The Dimensionless Wave Height formula is defined as a statistical sense of wave height that will remain constant through time but will vary along fetch is calculated using Dimensionless Wave Height = ([g]*Characteristic Wave Height)/Friction Velocity^2. To calculate Dimensionless Wave Height, you need Characteristic Wave Height (H) & Friction Velocity (V_f). With our tool, you need to enter the respective value for Characteristic Wave Height & Friction Velocity 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 Dimensionless Wave Height?

In this formula, Dimensionless Wave Height uses Characteristic Wave Height & Friction Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dimensionless Wave Height = Dimensionless Constant*(Dimensionless Fetch^Dimensionless Exponent)

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