Pressure Under Cnoidal Wave In Hydrostatic Form Calculator

Pressure Under Cnoidal Wave Formula:

\[ p = \rho_s \cdot [g] \cdot (y_s - y) \]

Density of Salt Water (ρs):

kg/m³

Ordinate of the Water Surface (ys):

Elevation above the Bottom (y):

Pressure Under Wave (p):

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1. What is Pressure Under Cnoidal Wave?

Pressure Under Cnoidal Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion in cnoidal wave theory.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

\[ p = \rho_s \cdot [g] \cdot (y_s - y) \]

Where:

\( p \) — Pressure under wave (Pa)
\( \rho_s \) — Density of salt water (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( y_s \) — Ordinate of the water surface (m)
\( y \) — Elevation above the bottom (m)

Explanation: This formula calculates the hydrostatic pressure at a specific elevation in the water column, accounting for the density of salt water and gravitational effects.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for offshore engineering, coastal structure design, and understanding wave forces on submerged objects and seabed structures.

4. Using the Calculator

Tips: Enter density of salt water in kg/m³, ordinate of water surface in meters, and elevation above bottom in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical density of salt water?
A: The density of salt water typically ranges from 1020 to 1030 kg/m³, depending on salinity and temperature.

Q2: How does this differ from regular hydrostatic pressure?
A: This calculation specifically addresses the pressure distribution under cnoidal waves, which have specific nonlinear wave characteristics.

Q3: What are the limitations of this formula?
A: This hydrostatic form assumes static conditions and may not fully capture dynamic pressure components in rapidly changing wave conditions.

Q4: When is this calculation most accurate?
A: The calculation is most accurate for relatively calm water conditions and for points not too close to the wave surface where dynamic effects dominate.

Q5: How does water salinity affect the results?
A: Higher salinity increases water density, which directly increases the calculated pressure proportionally.