1. What is Hydraulic Jump Length?

The length of hydraulic jump (Lⱼ) is the distance from the front to the end of the hydraulic jump in an open channel flow. It's an important parameter in hydraulic engineering for designing stilling basins and energy dissipaters.

2. How Does the Calculator Work?

The calculator uses the empirical equation:

Where:

• \( L_j \) — Length of hydraulic jump (m)
• \( h_2 \) — Downstream depth (m)
• \( h_1 \) — Upstream depth (m)

Explanation: This empirical formula provides a quick estimate of hydraulic jump length based on the difference between downstream and upstream depths.

3. Importance of Hydraulic Jump Calculation

Details: Calculating hydraulic jump length is crucial for designing energy dissipation structures, preventing erosion downstream of hydraulic structures, and ensuring stable flow conditions.

4. Using the Calculator

Tips: Enter both upstream and downstream depths in meters. Ensure h₂ > h₁ for a valid hydraulic jump. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a hydraulic jump?
A: A hydraulic jump is a rapid transition from supercritical to subcritical flow, accompanied by turbulent energy dissipation.

Q2: When does hydraulic jump occur?
A: It occurs when a high-velocity, shallow-depth flow (supercritical) encounters a deeper, slower flow (subcritical).

Q3: What are typical applications?
A: Used in spillways, weirs, and outlet works to dissipate energy and prevent downstream erosion.

Q4: Are there other formulas for jump length?
A: Yes, some formulas use Froude number, but this simple depth-difference formula is commonly used for preliminary estimates.

Q5: What affects jump length accuracy?
A: Channel slope, roughness, and approach conditions can affect actual jump length compared to the simplified formula.