Area Of Cross Section For Mass Of Fluid Striking Moving Vane Per Second Calculator

Formula Used:

\[ A_{Jet} = \frac{m_f \times G}{\gamma_f \times (V_{absolute} - v)} \]

Fluid Mass (m_f):

Specific Gravity of Fluid (G):

Specific Weight of Liquid (γ_f):

kN/m³

Absolute Velocity of Issuing Jet (V_absolute):

m/s

Velocity of Jet (v):

m/s

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 shape is sliced perpendicular to some specified axis at a point. It is a crucial parameter in fluid dynamics for calculating mass flow rates and jet velocities.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_{Jet} = \frac{m_f \times G}{\gamma_f \times (V_{absolute} - v)} \]

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)
\( V_{absolute} \) — Absolute Velocity of Issuing Jet (m/s)
\( v \) — Velocity of Jet (m/s)

Explanation: This formula calculates the cross-sectional area required for a given mass of fluid to strike a moving vane per second, taking into account the fluid properties and velocity differences.

3. Importance of Cross Sectional Area Calculation

Details: Accurate calculation of cross-sectional area is essential for designing fluid systems, optimizing energy transfer in turbines and propellers, and ensuring efficient fluid flow in various engineering applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure that fluid mass, specific gravity, specific weight, and velocities are positive values. The absolute velocity must be greater than the jet velocity for valid results.

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 relative to a fixed reference point, while jet velocity typically refers to the velocity relative to the moving vane or surface.

Q2: Why is specific gravity important in this calculation?
A: Specific gravity accounts for the density difference between the fluid and a reference fluid, which affects the mass flow rate and energy transfer calculations.

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 fluids. For compressible fluids, additional factors such as density changes and compressibility effects need to be considered.

Q5: What applications use this calculation?
A: This calculation is used in turbine design, propeller systems, hydraulic machinery, and any application where fluid jets interact with moving surfaces to transfer energy.