Freestream Velocity Given Doublet Strength For Non-Lifting Flow Over Circular Cylinder Calculator

Formula Used:

\[ V_{\infty} = \frac{\kappa}{R^2 \times 2 \times \pi} \]

Freestream Velocity (V∞):

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1. What Is The Freestream Velocity Given Doublet Strength For Non-Lifting Flow Over Circular Cylinder?

The Freestream Velocity Given Doublet Strength For Non-Lifting Flow Over Circular Cylinder calculates the velocity of a fluid flow far from disturbances, based on doublet strength and cylinder radius in potential flow theory.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ V_{\infty} = \frac{\kappa}{R^2 \times 2 \times \pi} \]

Where:

\( V_{\infty} \) — Freestream Velocity (m/s)
\( \kappa \) — Doublet Strength (m³/s)
\( R \) — Cylinder Radius (m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: This formula relates the doublet strength and cylinder radius to the freestream velocity in non-lifting potential flow over a circular cylinder.

3. Importance Of Freestream Velocity Calculation

Details: Accurate calculation of freestream velocity is essential in aerodynamics and hydrodynamics for analyzing flow patterns, pressure distributions, and forces on cylindrical structures.

4. Using The Calculator

Tips: Enter doublet strength in m³/s and cylinder radius in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is doublet strength in fluid mechanics?
A: Doublet strength represents the product of distance between a source-sink pair and their strength, characterizing the flow field around a cylinder.

Q2: What does non-lifting flow mean?
A: Non-lifting flow refers to potential flow where there is no circulation around the body, resulting in zero lift force.

Q3: When is this formula applicable?
A: This formula applies to ideal, incompressible, irrotational flow over a circular cylinder without circulation.

Q4: What are typical values for doublet strength?
A: Doublet strength values depend on specific flow conditions but are typically positive values representing the combined effect of source and sink.

Q5: How does cylinder radius affect freestream velocity?
A: Freestream velocity is inversely proportional to the square of cylinder radius - larger cylinders result in lower freestream velocities for the same doublet strength.