Velocity Of Fluid Given Thrust Normal To Jet Calculator

Fluid Jet Velocity Formula:

\[ v_{jet} = \sqrt{\frac{F_Y \cdot [g]}{\gamma_f \cdot A_{Jet} \cdot \sin(\angle D) \cdot \cos(\angle D)}} \]

Force by Jet Normal to Plate in Y (F_Y):

Specific Weight of Liquid (γ_f):

N/m³

Cross Sectional Area of Jet (A_Jet):

m²

Angle between Jet and Plate (∠D):

Fluid Jet Velocity (v_jet):

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1. What is Fluid Jet Velocity?

Fluid Jet Velocity is the speed at which a fluid flows through a jet or nozzle. It represents the volume of fluid flowing in the given vessel per unit cross sectional area and is crucial in various engineering applications involving fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the fluid jet velocity formula:

\[ v_{jet} = \sqrt{\frac{F_Y \cdot [g]}{\gamma_f \cdot A_{Jet} \cdot \sin(\angle D) \cdot \cos(\angle D)}} \]

Where:

\( v_{jet} \) — Fluid jet velocity (m/s)
\( F_Y \) — Force by jet normal to plate in Y direction (N)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)
\( \gamma_f \) — Specific weight of liquid (N/m³)
\( A_{Jet} \) — Cross sectional area of jet (m²)
\( \angle D \) — Angle between jet and plate (degrees)

Explanation: The formula calculates the velocity of a fluid jet based on the force it exerts normal to a plate, considering the fluid's specific weight, jet area, and the angle of impact.

3. Importance of Fluid Jet Velocity Calculation

Details: Accurate fluid jet velocity calculation is essential for designing hydraulic systems, nozzles, turbines, and various fluid machinery. It helps in determining the impact force, energy transfer, and efficiency of fluid systems.

4. Using the Calculator

Tips: Enter force in newtons, specific weight in N/m³, cross sectional area in m², and angle in degrees. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the angle in the formula?
A: The angle between the jet and plate affects the normal force component and thus influences the velocity calculation through trigonometric functions.

Q2: Why is gravitational acceleration included?
A: Gravitational acceleration is included to account for the weight component of the fluid in the force calculation.

Q3: What are typical values for fluid jet velocity?
A: Typical values range from a few m/s for low-pressure systems to over 100 m/s for high-pressure hydraulic applications.

Q4: How does specific weight differ from density?
A: Specific weight is weight per unit volume (N/m³), while density is mass per unit volume (kg/m³). They are related by gravity: γ = ρ·g.

Q5: Can this formula be used for compressible fluids?
A: This formula is primarily for incompressible fluids. For compressible fluids, additional factors like compressibility and Mach number need to be considered.