Absolute Velocity For Given Normal Thrust Normal To Direction Of Jet Calculator

Formula Used:

\[ V_{absolute} = \sqrt{\frac{F_t \times G}{\gamma_f \times A_{Jet} \times (\angle D \times \frac{180}{\pi}) \times \cos(\theta)}} + v \]

Thrust Force (F_t):

Specific Gravity of Fluid (G):

Specific Weight of Liquid (γ_f):

kN/m³

Cross Sectional Area of Jet (A_Jet):

m²

Angle between Jet and Plate (∠D):

rad

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 of Issuing Jet?

The Absolute Velocity of Issuing Jet is the actual velocity of jet used in propeller systems. It represents the combined effect of the jet's inherent velocity and additional velocity components resulting from thrust forces and fluid properties.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ V_{absolute} = \sqrt{\frac{F_t \times G}{\gamma_f \times A_{Jet} \times (\angle D \times \frac{180}{\pi}) \times \cos(\theta)}} + v \]

Where:

\( F_t \) — Thrust Force acting perpendicular to the job piece (N)
\( G \) — Specific Gravity of Fluid
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( \angle D \) — Angle between Jet and Plate (rad)
\( \theta \) — Theta angle (rad)
\( v \) — Velocity of Jet (m/s)

Explanation: The equation calculates the absolute velocity by considering thrust force, fluid properties, geometric parameters, and the initial jet velocity.

3. Importance of Absolute Velocity Calculation

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

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and angles are in radians. The calculator will compute the absolute velocity of the issuing jet.

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 thrust force translates into velocity.

Q2: Why is the angle between jet and plate important?
A: This angle affects the effective area and direction of the thrust force, influencing the resulting velocity calculation.

Q3: What are typical units for these parameters?
A: Thrust force in Newtons (N), specific weight in kN/m³, area in m², angles in radians, and velocities in m/s.

Q4: When is this calculation most applicable?
A: This calculation is particularly useful in hydraulic engineering, propulsion systems, and fluid mechanics applications involving jet flows.

Q5: How does theta angle affect the result?
A: Theta angle influences the cosine term in the denominator, affecting the magnitude of the calculated absolute velocity.