Work Done Per Sec On Runner By Water For Obtuse Angled Outlet Blade Calculator

Formula Used:

\[ W = \rho_f \times Q_f \times (V_{w1} \times u_1 - V_{w2} \times u_2) \]

Density of Fluid (ρf):

kg/m³

Volume Flow Rate (Qf):

m³/s

Whirl Velocity at Inlet (Vw1):

m/s

Velocity of Vane at Inlet (u1):

m/s

Whirl Velocity at Outlet (Vw2):

m/s

Velocity of Vane at Outlet (u2):

m/s

Work Done Per Second (W):

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1. What is Work Done Per Second Calculation?

The Work Done Per Second calculation determines the amount of work performed by a Francis turbine with obtuse angled outlet blade in one second. It quantifies the energy transfer from the fluid to the turbine runner.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W = \rho_f \times Q_f \times (V_{w1} \times u_1 - V_{w2} \times u_2) \]

Where:

\( W \) — Work done per second (Watt)
\( \rho_f \) — Density of fluid (kg/m³)
\( Q_f \) — Volume flow rate (m³/s)
\( V_{w1} \) — Whirl velocity at inlet (m/s)
\( u_1 \) — Velocity of vane at inlet (m/s)
\( V_{w2} \) — Whirl velocity at outlet (m/s)
\( u_2 \) — Velocity of vane at outlet (m/s)

Explanation: The formula calculates the work transfer based on the change in angular momentum of the fluid as it passes through the turbine.

3. Importance of Work Done Calculation

Details: Accurate work done calculation is crucial for determining turbine efficiency, power output, and overall performance evaluation in hydraulic turbine systems.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Ensure density and flow rate are positive values, and velocity components are non-negative values for accurate calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is whirl velocity?
A: Whirl velocity is the tangential component of the absolute velocity of the fluid relative to the turbine axis.

Q2: Why is the outlet blade angle important?
A: The obtuse outlet blade angle affects the direction and magnitude of the whirl velocity at outlet, influencing the work transfer efficiency.

Q3: What are typical values for these parameters?
A: Values vary significantly based on turbine design and operating conditions. Consult turbine specifications for appropriate input values.

Q4: How does this relate to turbine efficiency?
A: The work done calculation forms the basis for determining the mechanical efficiency of the turbine system.

Q5: What units should be used for input values?
A: All inputs should be in SI units: kg/m³ for density, m³/s for flow rate, and m/s for all velocity components.