Deepwater Wavelength For Shoaling Coefficient In Shallow Water Calculator

Formula Used:

\[ \lambda_o = \left( \frac{K_s}{0.4466} \right)^4 \times d_w \]

Deep-Water Wavelength (λo):

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1. What is Deep-Water Wavelength?

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave in deep water conditions where water depth is greater than half the wavelength.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \lambda_o = \left( \frac{K_s}{0.4466} \right)^4 \times d_w \]

Where:

\( \lambda_o \) — Deep-Water Wavelength (m)
\( K_s \) — Shoaling Coefficient (dimensionless)
\( d_w \) — Water Depth in Ocean (m)

Explanation: This formula calculates the deep-water wavelength based on the shoaling coefficient and water depth, which is important for understanding wave transformation in shallow water environments.

3. Importance of Deep-Water Wavelength Calculation

Details: Calculating deep-water wavelength is crucial for coastal engineering, wave energy studies, and understanding how waves transform as they move from deep to shallow water, affecting coastal processes and structures.

4. Using the Calculator

Tips: Enter the shoaling coefficient (dimensionless value) and water depth in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the shoaling coefficient?
A: The shoaling coefficient is a dimensionless parameter that describes how wave height changes as waves move into shallower water due to changes in water depth.

Q2: When is this formula applicable?
A: This formula is specifically used for calculating deep-water wavelength based on shoaling coefficient and water depth in shallow water wave theory applications.

Q3: What are typical values for shoaling coefficient?
A: Shoaling coefficient values typically range from about 0.8 to 1.3, depending on wave conditions and water depth relationships.

Q4: How does water depth affect wavelength?
A: As water depth decreases, wavelength decreases due to wave shoaling, which causes waves to slow down and become shorter and higher.

Q5: What are the limitations of this calculation?
A: This calculation assumes ideal wave conditions and may not account for complex coastal bathymetry, wave breaking, or other nonlinear effects in very shallow water.