Power Developed By Turbine Calculator

Formula Used:

\[ P_T = \rho_1 \times Q \times V_{wi} \times \nu_t \]

Density of Liquid (ρ₁):

kg/m³

Discharge (Q):

m³/s

Velocity of Whirl at Inlet (V_wi):

m/s

Tangential Velocity at Inlet (ν_t):

m/s

Power Developed by Turbine (P_T):

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1. What is Power Developed by Turbine?

Power developed by turbine is defined as a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. It represents the actual mechanical power output generated by the turbine.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_T = \rho_1 \times Q \times V_{wi} \times \nu_t \]

Where:

\( P_T \) — Power developed by turbine (W)
\( \rho_1 \) — Density of liquid (kg/m³)
\( Q \) — Discharge/flow rate (m³/s)
\( V_{wi} \) — Velocity of whirl at inlet (m/s)
\( \nu_t \) — Tangential velocity at inlet (m/s)

Explanation: This formula calculates the mechanical power generated by a turbine based on fluid properties and velocity components at the inlet.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for turbine design, performance evaluation, energy efficiency assessment, and system optimization in various engineering applications.

4. Using the Calculator

Tips: Enter density in kg/m³, discharge in m³/s, velocities in m/s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is velocity of whirl?
A: Velocity of whirl is the tangential component of the absolute velocity of the fluid at the turbine inlet.

Q2: What is tangential velocity?
A: Tangential velocity at inlet is the velocity of fluid at inlet direction normal to any radius.

Q3: What units should be used for density?
A: Density should be entered in kilograms per cubic meter (kg/m³) for accurate results.

Q4: Can this calculator be used for all turbine types?
A: This formula is generally applicable for various turbine types, though specific turbine designs may have additional factors to consider.

Q5: What is the typical power range for turbines?
A: Turbine power output can range from a few watts for small micro-turbines to several megawatts for large industrial turbines.