Cross Sectional Area of Jet for Given Dynamic Thrust Parallel to Direction of Jet Calculator

Formula Used:

\[ A_{Jet} = \frac{F_X \times g}{\gamma_f \times v_{jet}^2 \times (\sin(\theta))^2} \]

Force by Jet Normal to Plate in X (F_X):

Specific Weight of Liquid (γ_f):

N/m³

Fluid Jet Velocity (v_jet):

m/s

Angle between Jet and Plate (θ):

Cross Sectional Area of Jet (A_Jet):

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1. What is 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 jet is sliced perpendicular to its flow direction. It represents the effective area through which the fluid flows.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_{Jet} = \frac{F_X \times g}{\gamma_f \times v_{jet}^2 \times (\sin(\theta))^2} \]

Where:

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

Explanation: This formula calculates the cross sectional area of a jet based on the dynamic thrust force exerted by the jet on a plate and the fluid properties.

3. Importance of Cross Sectional Area Calculation

Details: Calculating the cross sectional area of a jet is crucial for understanding fluid dynamics, designing hydraulic systems, and analyzing the impact forces of fluid jets on surfaces.

4. Using the Calculator

Tips: Enter force in Newtons, specific weight in N/m³, velocity in m/s, and angle in degrees. All values must be positive and valid.

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 normal component of the force and thus influences the calculated cross sectional area.

Q2: Why is gravitational acceleration included in the formula?
A: Gravitational acceleration is used to convert between mass and weight units in the force calculation.

Q3: What are typical values for cross sectional area of jets?
A: Cross sectional areas vary widely depending on application, from small millimeter-scale jets in precision applications to large meter-scale jets in industrial systems.

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

Q5: 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 γ = ρ × g.