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

Formula Used:

\[ V_{absolute} = \sqrt{\frac{F_t \times G}{\gamma_f \times A_{Jet} \times (\angle D \times \frac{180}{\pi})^2}} + v \]

Thrust Force (Ft):

Specific Gravity of Fluid (G):

Specific Weight of Liquid (γf):

N/m³

Cross Sectional Area of Jet (A_Jet):

m²

Angle between Jet and Plate (∠D):

Velocity of Jet (v):

m/s

Absolute Velocity of Issuing Jet (V_absolute):

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1. What is Absolute Velocity For Given Normal Thrust Parallel To Direction Of Jet?

The absolute velocity of an issuing jet with given normal thrust parallel to the direction of the jet represents the actual velocity of the fluid jet when accounting for thrust forces, fluid properties, and geometric parameters. This calculation is essential in fluid dynamics and jet propulsion systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{absolute} = \sqrt{\frac{F_t \times G}{\gamma_f \times A_{Jet} \times (\angle D \times \frac{180}{\pi})^2}} + v \]

Where:

\( V_{absolute} \) — Absolute velocity of issuing jet (m/s)
\( F_t \) — Thrust force acting perpendicular to the job piece (N)
\( G \) — Specific gravity of fluid
\( \gamma_f \) — Specific weight of liquid (N/m³)
\( A_{Jet} \) — Cross sectional area of jet (m²)
\( \angle D \) — Angle between jet and plate (degrees)
\( v \) — Velocity of jet (m/s)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the absolute velocity by considering the thrust force, fluid properties, jet geometry, and the angle between the jet and plate, combined with the base velocity of the jet.

3. Importance of Absolute Velocity Calculation

Details: Calculating absolute velocity is crucial for designing and analyzing jet propulsion systems, understanding fluid dynamics in various engineering applications, and optimizing the performance of fluid machinery where jet forces play a significant role.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure thrust force, specific gravity, specific weight, and cross-sectional area are positive values. The angle should be between 0-360 degrees, and velocity should be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the angle in this calculation?
A: The angle between the jet and plate affects the component of force and velocity in different directions, influencing the overall absolute velocity calculation.

Q2: How does specific gravity affect the absolute velocity?
A: Specific gravity represents the density ratio of the fluid to water, affecting how the thrust force translates into velocity through the fluid medium.

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic systems, jet propulsion, fluid power systems, and various engineering applications involving fluid jets and thrust forces.

Q4: Why is the pi constant used in the formula?
A: The pi constant is used for angle conversion between degrees and radians, ensuring proper trigonometric calculations in the formula.

Q5: What happens if the denominator becomes zero?
A: If the denominator approaches zero (due to very small area, specific weight, or angle), the calculation becomes undefined, indicating an invalid or extreme parameter combination.