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Reynolds number is a dimensionless quantity used in fluid mechanics to predict flow patterns in different fluid flow situations. It represents the ratio of inertial forces to viscous forces and helps determine whether a flow will be laminar or turbulent.
The calculator uses the formula:
Where:
Explanation: This formula provides the Reynolds number based on the general form of drag coefficient for spherical particles in Stokes' flow regime.
Details: Reynolds number is crucial for understanding fluid flow characteristics, predicting transition between laminar and turbulent flow, and designing systems involving fluid dynamics such as pipelines, aircraft, and hydraulic systems.
Tips: Enter the drag coefficient value. The value must be greater than zero. The calculator will compute the corresponding Reynolds number.
Q1: What is the typical range for drag coefficient?
A: Drag coefficient values vary widely depending on the object shape and flow conditions, typically ranging from about 0.1 for streamlined bodies to 2.0 or more for bluff bodies.
Q2: What Reynolds number indicates laminar flow?
A: For flow in pipes, Reynolds numbers below 2300 typically indicate laminar flow, while values above 4000 indicate turbulent flow.
Q3: When is this formula applicable?
A: This specific formula (Re = 24/CD) is particularly applicable for spherical particles in Stokes' flow regime where Re < 1.
Q4: Are there limitations to this equation?
A: Yes, this equation is specifically valid for the Stokes' flow regime and may not be accurate for higher Reynolds numbers or non-spherical objects.
Q5: How does drag coefficient relate to flow regime?
A: Drag coefficient varies with Reynolds number - it decreases with increasing Re in laminar flow and may increase or show complex behavior in transitional and turbulent regimes.