Velocity Of Fluid Given Thrust Exerted Normal To Plate Calculator

Fluid Jet Velocity Formula:

\[ v_{jet} = \sqrt{\frac{F_p \cdot g}{\gamma_f \cdot A_{Jet} \cdot \sin(\theta)}} \]

Force Exerted by Jet Normal to Plate (F_p):

Specific Weight of Liquid (γ_f):

N/m³

Cross Sectional Area of Jet (A_Jet):

m²

Angle between Jet and Plate (θ):

degrees

Fluid Jet Velocity (v_jet):

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1. What is Fluid Jet Velocity?

Fluid Jet Velocity refers to the speed at which a fluid flows through a jet or nozzle. It is a crucial parameter in fluid dynamics that helps determine the force exerted by the jet on surfaces and is essential in various engineering applications.

2. How Does the Calculator Work?

The calculator uses the fluid jet velocity formula:

\[ v_{jet} = \sqrt{\frac{F_p \cdot g}{\gamma_f \cdot A_{Jet} \cdot \sin(\theta)}} \]

Where:

\( v_{jet} \) — Fluid jet velocity (m/s)
\( F_p \) — Force exerted by jet normal to plate (N)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( \gamma_f \) — Specific weight of liquid (N/m³)
\( A_{Jet} \) — Cross sectional area of jet (m²)
\( \theta \) — Angle between jet and plate (degrees)

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

3. Importance of Fluid Jet Velocity Calculation

Details: Accurate calculation of fluid jet velocity is essential for designing hydraulic systems, turbines, nozzles, and various fluid machinery. It helps in optimizing performance and efficiency of fluid-based 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 specific weight of liquid?
A: Specific weight is the weight per unit volume of a substance, typically measured in N/m³ or lb/ft³.

Q2: How does angle affect the jet velocity calculation?
A: The angle between the jet and plate affects the normal component of force, with maximum force occurring at 90 degrees (perpendicular impact).

Q3: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering, turbine design, spray systems, and any application involving fluid jets impacting surfaces.

Q4: Why is gravitational acceleration included?
A: Gravitational acceleration is included because specific weight is weight-based (force per volume), and weight depends on gravity.

Q5: What units should be used for accurate results?
A: Use consistent SI units: newtons for force, N/m³ for specific weight, m² for area, and degrees for angle.