1. What is Doublet Strength?

Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength in fluid dynamics. It represents the strength of a doublet in 3D incompressible flow fields.

2. How Does the Calculator Work?

The calculator uses the Doublet Strength formula:

Where:

• \( \mu \) — Doublet Strength (m³/s)
• \( \phi \) — Velocity Potential (m²/s)
• \( r \) — Radial Coordinate (m)
• \( \theta \) — Polar Angle (rad)
• \( \pi \) — Archimedes' constant (≈3.14159)

Explanation: The formula calculates the strength of a doublet in a 3D incompressible flow field based on velocity potential, radial distance, and polar angle.

3. Importance of Doublet Strength Calculation

Details: Doublet strength calculation is crucial for analyzing potential flow fields, modeling fluid dynamics problems, and understanding source-sink interactions in 3D incompressible flows.

4. Using the Calculator

Tips: Enter velocity potential in m²/s, radial coordinate in meters, and polar angle in radians. Ensure radial coordinate is positive and polar angle values are valid for cosine function.

5. Frequently Asked Questions (FAQ)

Q1: What is a doublet in fluid dynamics?
A: A doublet is a combination of a source and sink of equal strength placed infinitesimally close to each other, used to model certain flow patterns.

Q2: When is this formula applicable?
A: This formula applies to 3D incompressible potential flows where the flow is irrotational and inviscid.

Q3: What are typical units for doublet strength?
A: Doublet strength is typically measured in cubic meters per second (m³/s) in the SI system.

Q4: Are there limitations to this formula?
A: This formula assumes ideal potential flow conditions and may not accurately represent real viscous flows or compressible fluids.

Q5: How is doublet strength related to flow patterns?
A: Doublet strength determines the intensity of the flow field generated by the doublet, affecting streamlines and velocity distributions.