Actual Velocity At Section 2 Given Coefficient Of Contraction Calculator

Formula Used:

\[ v = C_v \times \sqrt{2 \times [g] \times h_{venturi} + (V_{p2} \times C_c \times \frac{a_o}{A_i})^2} \]

Coefficient of Velocity (Cv):

Venturi Head (hventuri):

Velocity at Point 2 (Vp2):

m/s

Coefficient of Contraction (Cc):

Area of Orifice (ao):

m²

Cross Section Area 1 (Ai):

m²

Actual Velocity (v):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Actual Velocity at Section 2?

Actual Velocity at Section 2 refers to the velocity at which a microscopic particle would be traveling if it were in the air stream, considering the coefficient of contraction and other fluid dynamics parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = C_v \times \sqrt{2 \times [g] \times h_{venturi} + (V_{p2} \times C_c \times \frac{a_o}{A_i})^2} \]

Where:

\( v \) — Actual Velocity (m/s)
\( C_v \) — Coefficient of Velocity
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( h_{venturi} \) — Venturi Head (m)
\( V_{p2} \) — Velocity at Point 2 (m/s)
\( C_c \) — Coefficient of Contraction
\( a_o \) — Area of Orifice (m²)
\( A_i \) — Cross Section Area 1 (m²)

Explanation: This formula calculates the actual velocity by considering gravitational effects, venturi pressure differences, and contraction coefficients.

3. Importance of Actual Velocity Calculation

Details: Accurate velocity calculation is crucial for fluid dynamics analysis, pipe system design, venturi meter applications, and understanding fluid behavior in various engineering contexts.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the Coefficient of Velocity?
A: The Coefficient of Velocity refers to the ratio of the actual velocity of a fluid jet to the theoretical velocity of the jet.

Q2: What is Venturi Head?
A: Venturi head refers to the difference between pressure head at inlet and pressure head at the throat in a venturi meter.

Q3: What is Coefficient of Contraction?
A: Coefficient of Contraction refers to the ratio between the area of the jet at the vena contracta and the area of the orifice.

Q4: What are typical values for these coefficients?
A: Coefficient of Velocity typically ranges from 0.95-0.99, while Coefficient of Contraction ranges from 0.61-0.69 for sharp-edged orifices.

Q5: When is this calculation most useful?
A: This calculation is particularly useful in fluid mechanics, hydraulic engineering, and any application involving flow measurement through orifices or venturi meters.