Area Of Cross Section For Work Done By Jet On Vane Per Second Calculator

Formula Used:

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

Work Done:

Specific Gravity of Fluid:

Specific Weight of Liquid:

kN/m³

Absolute Velocity of Issuing Jet:

m/s

Velocity of Jet:

m/s

Theta (θ):

rad

Cross Sectional Area of Jet:

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1. What is the Cross Sectional Area of Jet Formula?

The formula calculates the cross-sectional area of a jet based on work done, fluid properties, velocities, and angle. It's used in fluid mechanics to determine the area through which fluid flows when work is done by the jet on a vane.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula accounts for the energy transfer from the jet to the vane, considering fluid properties and velocity differences.

3. Importance of Cross Sectional Area Calculation

Details: Calculating the cross-sectional area is crucial for designing fluid systems, optimizing energy transfer, and understanding jet behavior in various engineering applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Work done in kJ, specific weight in kN/m³, velocities in m/s, and theta in radians. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of this calculation?
A: This calculation helps determine the effective area through which fluid flows when transferring energy to a vane, which is essential in turbine and pump design.

Q2: Why is the theta angle important in this formula?
A: The theta angle represents the direction of jet deflection, which affects the work done and thus the cross-sectional area calculation.

Q3: What are typical units for these measurements?
A: Work done in kJ, specific gravity is dimensionless, specific weight in kN/m³, velocities in m/s, and angle in radians.

Q4: When is this formula most commonly used?
A: This formula is commonly used in hydraulic engineering, turbine design, and fluid mechanics applications where jet impingement on vanes is studied.

Q5: What are the limitations of this formula?
A: The formula assumes ideal fluid behavior and may need adjustments for real-world applications with friction, turbulence, and other non-ideal conditions.