Angle Wave Orthogonal Makes With Current In Non-propagated Wave Values On Forbidden Region Calculator

Formula Used:

\[ \theta = \arccos\left(\frac{F \cdot \sqrt{[g] \cdot d_T}}{V}\right) \]

Angle b/w Horizontal Velocity and Horizontal Wave:

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1. What is Angle Wave Orthogonal makes with Current?

The angle between horizontal velocity and horizontal wave orthogonal represents the angular deviation and depends on non-propagated wave values of 'F', channel depth and velocity in channel. It's a crucial parameter in understanding wave-current interactions in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \theta = \arccos\left(\frac{F \cdot \sqrt{[g] \cdot d_T}}{V}\right) \]

Where:

\( \theta \) — Angle b/w Horizontal Velocity and Horizontal Wave (degrees)
\( F \) — Non-propagated Wave Values of 'F'
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( d_T \) — Time Averaged Water Depth (m)
\( V \) — Velocity in Channel (m/s)

Explanation: The formula calculates the angle using the inverse cosine function based on the ratio of wave propagation speed to channel velocity.

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential for understanding wave refraction patterns, sediment transport dynamics, and coastal engineering applications where wave-current interactions play a significant role.

4. Using the Calculator

Tips: Enter non-propagated wave values of 'F', time averaged water depth in meters, and velocity in channel in m/s. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What are non-propagated wave values of 'F'?
A: Non-propagated wave values of 'F' represent instances where wave information doesn't spread, indicating localized effects or boundary conditions in wave dynamics.

Q2: Why is gravitational acceleration constant used?
A: Gravitational acceleration affects wave propagation speed, making it a fundamental constant in wave dynamics calculations.

Q3: What is the typical range for this angle?
A: The angle typically ranges from 0° to 90°, where 0° indicates parallel alignment and 90° indicates perpendicular orientation between velocity and wave orthogonal.

Q4: When is this calculation most relevant?
A: This calculation is particularly relevant in coastal engineering, harbor design, and environmental studies where wave-current interactions affect sediment transport and structural stability.

Q5: Are there limitations to this formula?
A: The formula assumes idealized conditions and may need adjustments for complex real-world scenarios with varying bathymetry, nonlinear wave effects, or strong current shear.