1. What is Doublet Strength?

Doublet strength is defined as the product of distance between a source-sink pair and source or sink strength in fluid dynamics. It represents the strength of the doublet used to model flow around a cylinder in potential flow theory.

2. How Does the Calculator Work?

The calculator uses the doublet strength formula:

Where:

• \( \kappa \) — Doublet strength (m³/s)
• \( R \) — Cylinder radius (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( V_{\infty} \) — Freestream velocity (m/s)

Explanation: This formula calculates the strength of the doublet required to model the flow around a circular cylinder of given radius in a uniform flow with specified freestream velocity.

3. Importance of Doublet Strength Calculation

Details: Doublet strength calculation is crucial in potential flow theory for modeling flow around cylindrical objects. It helps in determining the flow field characteristics and is fundamental in aerodynamics and hydrodynamics studies.

4. Using the Calculator

Tips: Enter cylinder radius in meters and freestream velocity in meters per second. Both values must be positive numbers greater than zero.

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: What are the units of doublet strength?
A: Doublet strength has units of cubic meters per second (m³/s) in the SI system.

Q3: When is this formula applicable?
A: This formula is specifically for non-lifting flow around a circular cylinder in potential flow theory.

Q4: What is the significance of freestream velocity?
A: Freestream velocity represents the velocity of the fluid flow far from any disturbances or obstacles.

Q5: Are there limitations to this model?
A: Yes, this model assumes ideal potential flow and neglects viscosity, making it more accurate for high Reynolds number flows.