Hydraulic Efficiency Of Francis Turbine With Right Angled Outlet Blade Calculator

Hydraulic Efficiency Of Francis Turbine With Right Angled Outlet Blade Formula:

\[ \eta_h = \frac{V_{w1} \times u_1}{g \times H_f} \]

Whirl Velocity At Inlet Of Francis Turbine (Vw1):

m/s

Velocity Of Vane At Inlet For Francis Turbine (u1):

m/s

Acceleration Due To Gravity (g):

m/s²

Net Francis Turbine Head (Hf):

Hydraulic Efficiency Of Francis Turbine (ηh):

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1. What is the Hydraulic Efficiency Of Francis Turbine With Right Angled Outlet Blade?

The Hydraulic Efficiency of Francis Turbine With Right Angled Outlet Blade measures the effectiveness with which the turbine converts hydraulic energy into mechanical energy. It represents the ratio of useful work output to the hydraulic energy input.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \eta_h = \frac{V_{w1} \times u_1}{g \times H_f} \]

Where:

\( V_{w1} \) — Whirl velocity at inlet of Francis turbine (m/s)
\( u_1 \) — Velocity of vane at inlet for Francis turbine (m/s)
\( g \) — Acceleration due to gravity (m/s²)
\( H_f \) — Net Francis turbine head (m)

Explanation: This formula calculates the hydraulic efficiency by considering the tangential components of velocity at the inlet and the available hydraulic head.

3. Importance of Hydraulic Efficiency Calculation

Details: Accurate hydraulic efficiency calculation is crucial for evaluating turbine performance, optimizing energy conversion, and designing efficient hydroelectric power systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (m/s for velocities, m/s² for gravity, and m for head). All values must be positive and non-zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of hydraulic efficiency for Francis turbines?
A: Modern Francis turbines typically achieve hydraulic efficiencies between 90-95% under optimal operating conditions.

Q2: Why is the outlet blade angle important in this calculation?
A: The right-angled outlet blade ensures that the water leaves the turbine radially, which affects the velocity components and overall efficiency.

Q3: How does net head affect hydraulic efficiency?
A: Higher net head generally increases the available hydraulic energy, but the relationship with efficiency depends on the specific turbine design and operating conditions.

Q4: What factors can reduce hydraulic efficiency?
A: Factors include hydraulic losses, turbulence, cavitation, improper blade angles, and wear and tear of turbine components.

Q5: How is this efficiency different from overall turbine efficiency?
A: Hydraulic efficiency considers only hydraulic losses, while overall efficiency includes mechanical and volumetric losses as well.