Absolute Velocity For Force Exerted By Jet In Direction Of Flow Of Incoming Jet Calculator

Formula Used:

\[ V_{absolute} = \frac{\sqrt{F \times G}}{\gamma_f \times A_{Jet} \times (1 + \cos(\theta))} + v \]

Force exerted by Jet (F):

Specific Gravity of Fluid (G):

Specific Weight of Liquid (γf):

kN/m³

Cross Sectional Area of Jet (A_Jet):

m²

Theta (θ):

rad

Velocity of Jet (v):

m/s

Absolute Velocity of Issuing Jet (V_absolute):

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1. What is Absolute Velocity For Force Exerted By Jet In Direction Of Flow Of Incoming Jet?

Absolute Velocity of Issuing Jet is the actual velocity of jet used in propeller calculations, accounting for the force exerted by the jet on surfaces and various fluid properties.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{absolute} = \frac{\sqrt{F \times G}}{\gamma_f \times A_{Jet} \times (1 + \cos(\theta))} + v \]

Where:

\( F \) — Force exerted by Jet (N)
\( G \) — Specific Gravity of Fluid
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( \theta \) — Theta (radians)
\( v \) — Velocity of Jet (m/s)

Explanation: This formula calculates the absolute velocity by considering the force exerted by the jet, fluid properties, jet geometry, and the angle of impact.

3. Importance of Absolute Velocity Calculation

Details: Accurate absolute velocity calculation is crucial for propeller design, jet propulsion systems, and understanding fluid dynamics in various engineering applications.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure force, specific gravity, specific weight, and area are positive values. Theta should be in radians (0 to π), and velocity should be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of specific gravity in this calculation?
A: Specific gravity represents the ratio of the fluid's density to that of a reference fluid, affecting how the jet interacts with the surrounding medium.

Q2: How does the angle theta affect the absolute velocity?
A: The angle theta influences the cosine term in the denominator, with different angles resulting in varying force components and thus different absolute velocities.

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering, propulsion systems, turbine design, and any application involving jet forces and fluid dynamics.

Q4: Why is the square root of force times specific gravity used?
A: This term represents the momentum component of the jet force, accounting for both the mechanical force and the fluid's density characteristics.

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