Water Surface Above Bottom Given Pressure Beneath Solitary Wave Calculator

Formula Used:

\[ \text{Ordinate of the Water Surface} = \frac{\text{Pressure Under Wave}}{\text{Density of Salt Water} \times [g]} + \text{Elevation above the Bottom} \] \[ y_s = \frac{p}{\rho_s \times [g]} + y \]

Pressure Under Wave (p):

Pascal

Density of Salt Water (ρs):

kg/m³

Elevation above the Bottom (y):

meter

Ordinate of the Water Surface (ys):

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1. What is the Water Surface Above Bottom Calculation?

The Water Surface Above Bottom calculation determines the vertical distance between the water surface and the seabed based on pressure measurements, water density, and elevation data. This is particularly important in oceanography and coastal engineering for understanding wave dynamics and water column behavior.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ y_s = \frac{p}{\rho_s \times [g]} + y \]

Where:

\( y_s \) — Ordinate of the Water Surface (meter)
\( p \) — Pressure Under Wave (Pascal)
\( \rho_s \) — Density of Salt Water (kg/m³)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)
\( y \) — Elevation above the Bottom (meter)

Explanation: The formula calculates the water surface position by converting pressure to equivalent water height and adding the elevation above the seabed.

3. Importance of Water Surface Calculation

Details: Accurate water surface calculation is crucial for coastal engineering, tsunami modeling, offshore structure design, and understanding wave-structure interactions in marine environments.

4. Using the Calculator

Tips: Enter pressure in Pascals, density in kg/m³, and elevation in meters. All values must be positive numbers with density typically around 1025 kg/m³ for seawater.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical density value for seawater?
A: Seawater density typically ranges from 1020 to 1030 kg/m³, with 1025 kg/m³ being a common average value used in calculations.

Q2: How accurate is this calculation method?
A: The calculation provides good accuracy for static or slowly varying pressure conditions. For dynamic wave conditions, additional factors may need consideration.

Q3: Can this be used for freshwater calculations?
A: Yes, but use freshwater density (approximately 1000 kg/m³) instead of saltwater density in the calculation.

Q4: What units should be used for pressure input?
A: Pressure should be entered in Pascals (Pa). 1 kPa = 1000 Pa, 1 bar = 100,000 Pa.

Q5: How does elevation affect the result?
A: Elevation represents the height above the seabed where pressure is measured. Higher elevation measurements will result in different water surface calculations.