Formula Used:
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Cross Section Area 2 refers to the area of cross-section at the throat (venturi meter) of the structure or at the vena contracta of an orifice flow. It represents the minimum cross-sectional area where the fluid velocity is maximum.
The calculator uses the formula:
Where:
Explanation: The coefficient of contraction refers to the ratio between the area of the jet at the vena contracta and the area of the orifice. This formula calculates the actual flow area at the contraction point.
Details: Accurate calculation of cross-sectional area at vena contracta is crucial for determining flow rates, pressure drops, and overall fluid dynamics in various engineering applications including pipe flows, nozzle designs, and flow measurement devices.
Tips: Enter the coefficient of contraction (typically between 0.6-0.65 for sharp-edged orifices) and the orifice area in square meters. Both values must be positive numbers.
Q1: What is the typical range for coefficient of contraction?
A: For sharp-edged orifices, the coefficient of contraction typically ranges from 0.61 to 0.64, while for well-rounded orifices it can approach 1.0.
Q2: Why is vena contracta important in fluid mechanics?
A: Vena contracta is the point of minimum cross-sectional area and maximum velocity in a flow stream, making it critical for accurate flow measurement and pressure drop calculations.
Q3: How does orifice shape affect the coefficient of contraction?
A: Sharp-edged orifices have lower coefficients (0.61-0.64) due to significant flow separation, while rounded orifices have higher coefficients (up to 1.0) with less flow separation.
Q4: What units should be used for area inputs?
A: The calculator uses square meters (m²) for area measurements. Convert from other units if necessary (1 m² = 10,000 cm² = 1,000,000 mm²).
Q5: Can this calculator be used for compressible fluids?
A: This formula is primarily for incompressible fluids. For compressible fluids, additional factors like Mach number and specific heat ratio must be considered.