Mass Of Fluid Striking Vane Per Seconds Calculator

Formula Used:

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

Specific Weight of Liquid (γf):

kN/m³

Cross Sectional Area of Jet (A_Jet):

m²

Absolute Velocity of Issuing Jet (V_absolute):

m/s

Velocity of Jet (v):

m/s

Specific Gravity of Fluid (G):

Mass of Fluid Striking Vane per Seconds (m_f):

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1. What is Mass of Fluid Striking Vane per Seconds?

Mass of Fluid Striking Vane per Seconds represents the mass flow rate of fluid impacting a vane or surface per unit time. It is a crucial parameter in fluid mechanics and hydraulic engineering for analyzing forces and energy transfer in fluid systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( m_f \) — Mass of fluid striking vane per seconds (kg)
\( \gamma_f \) — Specific weight of liquid (kN/m³)
\( A_{Jet} \) — Cross sectional area of jet (m²)
\( V_{absolute} \) — Absolute velocity of issuing jet (m/s)
\( v \) — Velocity of jet (m/s)
\( G \) — Specific gravity of fluid

Explanation: The formula calculates the mass flow rate based on the specific weight, cross-sectional area, velocity difference, and specific gravity of the fluid.

3. Importance of Fluid Mass Calculation

Details: Accurate calculation of fluid mass striking a vane is essential for designing hydraulic turbines, pumps, and other fluid machinery. It helps determine the forces exerted on vanes and the energy transfer efficiency in fluid systems.

4. Using the Calculator

Tips: Enter specific weight in kN/m³, cross-sectional area in m², velocities in m/s, and specific gravity as a dimensionless value. All values must be positive and valid.

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 relative velocity or the velocity component being considered in the specific context.

Q2: Why is specific gravity important in this calculation?
A: Specific gravity accounts for the density difference between the fluid and water, which affects the mass calculation since mass depends on density.

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 like density changes with pressure must be considered.

Q5: How does cross-sectional area affect the mass flow rate?
A: The mass flow rate is directly proportional to the cross-sectional area - larger area means more fluid can pass through, resulting in higher mass flow rate.