Froude-Krylov Force Calculator

Froude-Krylov Force Formula:

\[ F_k = \rho_{Fluid} \times V \times u' \]

Froude-Krylov Force:

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1. What is Froude-Krylov Force?

Froude-Krylov Force is the force introduced by the unsteady pressure field generated by undisturbed waves in fluid dynamics. It represents the force component due to the pressure gradient of the incident wave field acting on a submerged body.

2. How Does the Calculator Work?

The calculator uses the Froude-Krylov Force formula:

\[ F_k = \rho_{Fluid} \times V \times u' \]

Where:

\( F_k \) — Froude-Krylov Force (N)
\( \rho_{Fluid} \) — Density of Fluid (kg/m³)
\( V \) — Volume of Body (m³)
\( u' \) — Flow Acceleration (m/s²)

Explanation: The formula calculates the force resulting from the pressure gradient of undisturbed waves acting on a submerged body, considering fluid density, body volume, and flow acceleration.

3. Importance of Froude-Krylov Force Calculation

Details: Accurate calculation of Froude-Krylov Force is crucial for marine engineering, offshore structure design, and wave energy conversion systems. It helps in predicting wave loads on submerged structures and ensuring structural integrity in marine environments.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, body volume in m³, and flow acceleration in m/s². All values must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between Froude-Krylov Force and diffraction force?
A: Froude-Krylov Force considers only the incident wave field, while diffraction force accounts for wave scattering caused by the presence of the body.

Q2: When is Froude-Krylov approximation valid?
A: The approximation is valid when the body size is small compared to the wavelength, and wave diffraction effects are negligible.

Q3: What units should be used for input values?
A: Density in kg/m³, volume in m³, and acceleration in m/s² to get force in Newtons (N).

Q4: Can this calculator be used for air flow applications?
A: Yes, the formula applies to any fluid, including air, as long as appropriate density values are used.

Q5: How does body shape affect Froude-Krylov Force?
A: The basic formula assumes a simplified approach. For complex shapes, additional correction factors may be needed to account for shape effects.