Mean Depth Given Ursell Number Calculator

Coastal Mean Depth Formula:

\[ d = \left( \frac{H_w \times \lambda_o^2}{U} \right)^{1/3} \]

Wave Height for Surface Gravity Waves (Hw):

Deep-Water Wavelength (λo):

Ursell Number (U):

Coastal Mean Depth (d):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Coastal Mean Depth?

Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing. It is an important parameter in coastal engineering and fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the Coastal Mean Depth formula:

\[ d = \left( \frac{H_w \times \lambda_o^2}{U} \right)^{1/3} \]

Where:

\( d \) — Coastal Mean Depth (m)
\( H_w \) — Wave Height for Surface Gravity Waves (m)
\( \lambda_o \) — Deep-Water Wavelength (m)
\( U \) — Ursell Number (dimensionless)

Explanation: This formula calculates the mean depth based on wave characteristics and the Ursell number, which characterizes the nonlinearity of wave motion.

3. Importance of Mean Depth Calculation

Details: Accurate mean depth calculation is crucial for coastal engineering projects, wave behavior analysis, sediment transport studies, and predicting coastal erosion patterns.

4. Using the Calculator

Tips: Enter wave height in meters, deep-water wavelength in meters, and Ursell number (dimensionless). All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the Ursell Number used for?
A: The Ursell Number is a dimensionless parameter used to characterize the nonlinearity or strength of nonlinearity in the wave motion of a fluid.

Q2: How is wave height measured?
A: Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.

Q3: What is deep-water wavelength?
A: Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave in deep water conditions.

Q4: What are typical values for coastal mean depth?
A: Coastal mean depth varies significantly depending on location, ranging from shallow coastal areas (few meters) to deeper offshore regions (tens of meters).

Q5: When is this formula most applicable?
A: This formula is particularly useful in coastal engineering applications where wave characteristics and fluid nonlinearity need to be considered for depth calculations.