Eddy Loss for Non-uniform Flow Calculator

Eddy Loss Formula:

\[ h_e = K_e \times \left( \frac{V_1^2}{2g} - \frac{V_2^2}{2g} \right) \]

Eddy Loss Coefficient (Ke):

Mean Velocity at End Sections (V1):

m/s

Mean Velocity at End Sections (V2):

m/s

Acceleration due to Gravity (g):

m/s²

Eddy Loss (he):

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1. What is Eddy Loss for Non-uniform Flow?

Eddy Loss is the loss in fluid current whose flow direction differs from that of the general flow; the motion of the whole fluid is the net result of the movements of the eddies that compose it. This occurs particularly in non-uniform flow conditions.

2. How Does the Calculator Work?

The calculator uses the Eddy Loss formula:

\[ h_e = K_e \times \left( \frac{V_1^2}{2g} - \frac{V_2^2}{2g} \right) \]

Where:

\( h_e \) — Eddy Loss (m)
\( K_e \) — Eddy Loss Coefficient
\( V_1 \) — Mean Velocity at End Sections at (1) (m/s)
\( V_2 \) — Mean Velocity at End Sections at (2) (m/s)
\( g \) — Acceleration due to Gravity (m/s²)

Explanation: The equation calculates the energy loss due to eddy formation in non-uniform flow conditions by comparing the velocity heads at two different sections.

3. Importance of Eddy Loss Calculation

Details: Accurate calculation of eddy loss is crucial for designing efficient fluid systems, predicting energy losses in pipelines and channels, and optimizing hydraulic structures to minimize energy dissipation.

4. Using the Calculator

Tips: Enter the eddy loss coefficient, mean velocities at both end sections, and acceleration due to gravity. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Eddy Loss Coefficient?
A: The Eddy Loss Coefficient varies depending on the cross-sectional characteristics of the reach and typically ranges from 0.1 to 1.0.

Q2: When is eddy loss significant in fluid flow?
A: Eddy loss becomes significant in non-uniform flow conditions, particularly where there are sudden changes in cross-section, bends, or obstructions in the flow path.

Q3: How does velocity affect eddy loss?
A: Eddy loss increases with the square of velocity difference between sections, making it particularly important in high-velocity flows.

Q4: Can eddy loss be negative?
A: No, eddy loss represents energy dissipation and should always be a positive value indicating energy loss from the system.

Q5: How is this different from friction loss?
A: While friction loss occurs along the entire length of flow due to wall shear, eddy loss occurs at specific locations due to flow separation and recirculation in non-uniform flow conditions.