Work Done By Jet On Vane Per Second Calculator

Formula Used:

\[ w = \frac{\gamma_f \cdot A_{Jet} \cdot (V_{absolute} - v)^2}{G} \cdot (1 + \cos(\theta)) \cdot v \]

Specific Weight of Liquid (γf):

kN/m³

Cross Sectional Area of Jet (AJet):

m²

Absolute Velocity of Issuing Jet (Vabsolute):

m/s

Velocity of Jet (v):

m/s

Specific Gravity of Fluid (G):

Theta (θ):

rad

Work Done (w):

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1. What is Work Done By Jet On Vane Per Second?

Work Done By Jet On Vane Per Second refers to the energy transferred per second when a jet of fluid impinges on a vane or blade. This calculation is important in various engineering applications, particularly in turbine and pump design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = \frac{\gamma_f \cdot A_{Jet} \cdot (V_{absolute} - v)^2}{G} \cdot (1 + \cos(\theta)) \cdot v \]

Where:

\( w \) — Work Done (kJ)
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( V_{absolute} \) — Absolute Velocity of Issuing Jet (m/s)
\( v \) — Velocity of Jet (m/s)
\( G \) — Specific Gravity of Fluid
\( \theta \) — Theta (rad)

Explanation: The formula calculates the work done per second by considering the energy transfer from the jet to the vane, accounting for velocity differences, fluid properties, and the angle of impact.

3. Importance of Work Done Calculation

Details: Accurate calculation of work done by jet on vane is crucial for designing efficient turbomachinery, optimizing energy transfer, and ensuring proper system performance in hydraulic applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure velocities are in m/s, area in m², specific weight in kN/m³, and theta in radians. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the cosine term in the formula?
A: The cosine term accounts for the directional component of the force exerted by the jet on the vane, considering the angle of impact.

Q2: How does specific gravity affect the work done?
A: Specific gravity represents the density ratio of the fluid to water, affecting the momentum transfer and thus the work done by the jet.

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic turbines, jet propulsion systems, and various fluid machinery where jets impinge on vanes or blades.

Q4: Why is the velocity difference squared in the formula?
A: The squared velocity difference accounts for the kinetic energy component of the fluid jet, which is proportional to the square of velocity.

Q5: What units should be used for accurate results?
A: Use consistent SI units: kN/m³ for specific weight, m² for area, m/s for velocities, and radians for angle measurements.