Cross Sectional Area For Given Dynamic Thrust Exerted By Jet On Plate Calculator

Formula Used:

\[ A_{Jet} = \frac{m_f \times G}{\gamma_f \times (\angle D \times \frac{180}{\pi}) \times (V_{absolute} - v_{jet})^2} \]

Fluid Mass (m_f):

Specific Gravity of Fluid (G):

Specific Weight of Liquid (γ_f):

kN/m³

Angle between Jet and Plate (∠D):

rad

Absolute Velocity of Issuing Jet (V_absolute):

m/s

Fluid Jet Velocity (v_jet):

m/s

Cross Sectional Area of Jet (A_Jet):

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1. What is the Cross Sectional Area of Jet?

The Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point. It is a crucial parameter in fluid dynamics for calculating forces exerted by jets.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_{Jet} = \frac{m_f \times G}{\gamma_f \times (\angle D \times \frac{180}{\pi}) \times (V_{absolute} - v_{jet})^2} \]

Where:

\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( m_f \) — Fluid Mass (kg)
\( G \) — Specific Gravity of Fluid
\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( \angle D \) — Angle between Jet and Plate (rad)
\( V_{absolute} \) — Absolute Velocity of Issuing Jet (m/s)
\( v_{jet} \) — Fluid Jet Velocity (m/s)
\( \pi \) — Archimedes' constant (3.1416)

Explanation: This formula calculates the cross-sectional area required for a given dynamic thrust exerted by a jet on a plate, considering fluid properties and velocities.

3. Importance of Cross Sectional Area Calculation

Details: Accurate calculation of jet cross-sectional area is essential for designing hydraulic systems, nozzles, and understanding fluid jet behavior in various engineering applications.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure fluid mass, specific gravity, and specific weight are positive values. Angle should be in radians, and velocities in m/s.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between absolute velocity and jet velocity?
A: Absolute velocity refers to the actual velocity of the jet issuing from the nozzle, while jet velocity typically refers to the velocity of the fluid jet relative to the plate or surface.

Q2: Why is the angle converted using 180/π?
A: The conversion factor (180/π) is used to convert radians to degrees when necessary for the calculation, ensuring proper dimensional consistency.

Q3: What are typical units for specific weight?
A: Specific weight is typically measured in kN/m³ or N/m³, representing the weight per unit volume of the fluid.

Q4: Can this formula be used for compressible fluids?
A: This formula is primarily designed for incompressible fluid flow. For compressible fluids, additional factors such as density changes need to be considered.

Q5: What is the significance of the squared velocity difference term?
A: The (V_absolute - v_jet)² term represents the kinetic energy difference that contributes to the dynamic thrust exerted by the jet on the plate.