1. What is Source Strength For 2-D Incompressible Source Flow?

Source Strength measures the magnitude or intensity of a source, which is a theoretical construct used to represent fluid flow emanating from a point in 2-D incompressible flow fields.

2. How Does the Calculator Work?

The calculator uses the Source Strength formula:

Where:

• \( \Lambda \) — Source Strength (m²/s)
• \( \pi \) — Archimedes' constant (≈3.14159)
• \( r \) — Radial Coordinate (m)
• \( V_r \) — Radial Velocity (m/s)

Explanation: The formula calculates the strength of a source in a 2-D incompressible flow field based on radial distance and velocity components.

3. Importance of Source Strength Calculation

Details: Source strength calculation is crucial for analyzing potential flow fields, modeling fluid dynamics problems, and understanding flow patterns around sources in incompressible flow theory.

4. Using the Calculator

Tips: Enter radial coordinate in meters and radial velocity in m/s. Both values must be valid (radial coordinate > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a source in fluid dynamics?
A: A source is a theoretical point from which fluid flows outward radially in all directions at a constant rate.

Q2: What are typical units for source strength?
A: Source strength is typically measured in m²/s, representing the volumetric flow rate per unit depth in 2-D flow.

Q3: How does source strength relate to flow rate?
A: For a 2-D source, the source strength Λ equals the total volumetric flow rate per unit depth emanating from the source.

Q4: Can this formula be used for sink flow?
A: Yes, the same formula applies to sink flow, but with negative radial velocity values indicating inward flow.

Q5: What are the limitations of this model?
A: This model assumes ideal, inviscid, incompressible flow and is primarily used for theoretical analysis rather than real-world viscous flows.