1. What is the Stagnation Streamline Equation?

The Stagnation Streamline Equation for Flow over Semi-Infinite Body calculates the stream function value at the stagnation point, which represents the dividing streamline that separates the flow going over the body from the flow going around it.

2. How Does the Calculator Work?

The calculator uses the Stagnation Streamline Equation:

Where:

• \( \psi \) — Stream Function (m²/s)
• \( \Lambda \) — Source Strength (m²/s)

Explanation: The equation calculates the stream function value at the stagnation point for flow over a semi-infinite body, where the source strength determines the magnitude of the flow field.

3. Importance of Stream Function Calculation

Details: The stream function at the stagnation point is crucial for analyzing flow patterns around semi-infinite bodies, determining flow separation characteristics, and understanding the overall flow behavior in potential flow theory applications.

4. Using the Calculator

Tips: Enter the source strength value in m²/s. The value must be positive and valid for accurate calculation of the stream function at the stagnation point.

5. Frequently Asked Questions (FAQ)

Q1: What is a semi-infinite body in fluid mechanics?
A: A semi-infinite body is a theoretical construct where the body extends infinitely in one direction while being bounded in others, used to model various flow scenarios in potential flow theory.

Q2: What does the stream function represent?
A: The stream function represents the quantity of fluid moving across some convenient imaginary line and is constant along streamlines in two-dimensional incompressible flow.

Q3: What is the physical significance of the stagnation point?
A: The stagnation point is where the fluid velocity is zero, representing the point where the flow divides to go around the body.

Q4: When is this equation applicable?
A: This equation applies to potential flow over semi-infinite bodies where the flow can be modeled using source-sink combinations in inviscid, incompressible flow.

Q5: Are there limitations to this equation?
A: This equation assumes ideal potential flow conditions and may not accurately represent real fluid behavior with viscosity effects, turbulence, or compressibility.