Work Done Per Second On Runner By Water For Right Angled Outlet Blade Angle Calculator

Formula Used:

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

Density of Fluid in Francis Turbine (ρf):

kg/m³

Volume Flow Rate For Francis Turbine (Qf):

m³/s

Velocity of Vane at Inlet For Francis Turbine (u1):

m/s

Whirl Velocity at Inlet of Francis Turbine (Vw1):

m/s

Work Done Per Second by Francis Turbine (W):

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1. What is the Work Done Per Second Formula?

The Work Done Per Second by Francis Turbine formula calculates the amount of work performed by the turbine in one second, based on fluid density, flow rate, and velocity components at the inlet.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( W \) — Work Done Per Second by Francis Turbine (Watt)
\( \rho_f \) — Density of Fluid in Francis Turbine (kg/m³)
\( Q_f \) — Volume Flow Rate For Francis Turbine (m³/s)
\( u_1 \) — 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 power output of the turbine by considering the mass flow rate and the tangential velocity components at the inlet.

3. Importance of Work Done Calculation

Details: Calculating work done per second is essential for determining turbine efficiency, power output, and overall performance in hydraulic power generation systems.

4. Using the Calculator

Tips: Enter all values in appropriate SI units (kg/m³ for density, m³/s for flow rate, m/s for velocities). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of whirl velocity?
A: Whirl velocity represents the tangential component of absolute velocity at the blade inlet, which directly affects the torque and power output of the turbine.

Q2: How does fluid density affect work done?
A: Higher fluid density increases the mass flow rate for the same volume flow rate, resulting in greater work done per second.

Q3: What are typical values for these parameters?
A: Density is typically 1000 kg/m³ for water, flow rates vary from 0.1-100 m³/s, velocities range from 5-50 m/s depending on turbine design.

Q4: Why is this specific to right angled outlet blade?
A: The formula assumes the outlet blade angle is 90 degrees, which simplifies the velocity triangle and makes the calculation more straightforward.

Q5: How accurate is this calculation?
A: This provides a theoretical maximum work output. Actual work done may be lower due to various losses in the system.