Volume Flow Rate of Right Angled Outlet Bladed Francis Turbine Given Work Done Per Second Calculator

Formula Used:

\[ Q_f = \frac{W}{\rho_f \times u_1 \times V_{w1}} \]

Work Done Per Second by Francis Turbine:

Watt

Density of Fluid in Francis Turbine:

kg/m³

Velocity of Vane at Inlet For Francis Turbine:

m/s

Whirl Velocity at Inlet of Francis Turbine:

m/s

Volume Flow Rate For Francis Turbine:

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1. What is Volume Flow Rate For Francis Turbine?

Volume Flow Rate For Francis Turbine is the volume of fluid that passes per unit of time through the turbine. It is a critical parameter in determining the performance and efficiency of the turbine system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q_f = \frac{W}{\rho_f \times u_1 \times V_{w1}} \]

Where:

\( Q_f \) — Volume Flow Rate For Francis Turbine (m³/s)
\( W \) — Work Done Per Second by Francis Turbine (Watt)
\( \rho_f \) — Density of Fluid in Francis Turbine (kg/m³)
\( u_1 \) — Velocity of Vane at Inlet For Francis Turbine (m/s)
\( V_{w1} \) — Whirl Velocity at Inlet of Francis Turbine (m/s)

Explanation: This formula calculates the volume flow rate based on the work done by the turbine and the fluid properties at the inlet.

3. Importance of Volume Flow Rate Calculation

Details: Accurate volume flow rate calculation is essential for turbine design, performance optimization, and energy efficiency analysis in hydroelectric power systems.

4. Using the Calculator

Tips: Enter work done per second in watts, fluid density in kg/m³, vane velocity at inlet in m/s, and whirl velocity at inlet in m/s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a Francis Turbine?
A: A Francis turbine is a type of water turbine that combines radial and axial flow concepts, commonly used in medium to high head hydroelectric plants.

Q2: Why is whirl velocity important?
A: Whirl velocity represents the tangential component of fluid velocity at the blade inlet, which directly affects the torque and power output of the turbine.

Q3: What are typical density values for water?
A: For water at standard conditions, density is approximately 1000 kg/m³, but it can vary with temperature and impurities.

Q4: How does vane velocity affect turbine performance?
A: Vane velocity at inlet determines how effectively the turbine extracts energy from the fluid flow, impacting overall efficiency.

Q5: What factors can affect volume flow rate accuracy?
A: Measurement errors, fluid properties variation, and turbine operating conditions can all affect the accuracy of volume flow rate calculations.