Force Exerted By Jet On Vane In Y-Direction Calculator

Force Exerted By Jet On Vane In Y-Direction Formula:

\[ F_y = \frac{\gamma_f \cdot A_{Jet} \cdot v_{jet}^2}{g} \cdot (\sin(\theta) - \sin(\angle D)) \]

Specific Weight of Liquid (γf):

kN/m³

Cross Sectional Area of Jet (AJet):

m²

Fluid Jet Velocity (vjet):

m/s

Acceleration due to Gravity (g):

m/s²

Theta (θ):

rad

Angle between Jet and Plate (∠D):

rad

Force Exerted by Fluid Jet in Y (Fy):

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1. What is Force Exerted By Jet On Vane In Y-Direction?

The Force Exerted by Fluid Jet in Y is the impact of jet on plates or vanes, its momentum is changed and a hydrodynamic force is exerted and liquid comes out from nozzle with a high velocity.

2. How Does the Calculator Work?

The calculator uses the Force Exerted By Jet On Vane In Y-Direction formula:

\[ F_y = \frac{\gamma_f \cdot A_{Jet} \cdot v_{jet}^2}{g} \cdot (\sin(\theta) - \sin(\angle D)) \]

Where:

\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( v_{jet} \) — Fluid Jet Velocity (m/s)
\( g \) — Acceleration due to Gravity (m/s²)
\( \theta \) — Theta (rad)
\( \angle D \) — Angle between Jet and Plate (rad)

Explanation: This formula calculates the force exerted by a fluid jet on a vane in the Y-direction, accounting for fluid properties, jet characteristics, and geometric angles.

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for designing hydraulic systems, turbines, and other fluid machinery where jet impact forces need to be determined for structural integrity and performance optimization.

4. Using the Calculator

Tips: Enter all values in the specified units. Specific weight in kN/m³, area in m², velocity in m/s, acceleration in m/s², and angles in radians. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the sine functions in the formula?
A: The sine functions account for the angular components of the force, representing how the jet's direction and the vane's orientation affect the resulting force in the Y-direction.

Q2: What are typical values for fluid jet velocity?
A: Fluid jet velocities can vary widely depending on the application, ranging from a few m/s in low-pressure systems to over 100 m/s in high-pressure hydraulic systems.

Q3: Why is specific weight used instead of density?
A: Specific weight (weight per unit volume) incorporates gravitational effects, making it more convenient for force calculations in gravitational fields.

Q4: What are common applications of this calculation?
A: This calculation is essential in designing hydraulic turbines, water jets, spray systems, and any application where fluid jets impact surfaces.

Q5: How does the angle between jet and plate affect the force?
A: The angle significantly influences the force magnitude and direction. Different angles will result in different force components in the Y-direction.