The Flow of a Compressible Fluid Past a Circular Arc Profile (Classic Reprint)

A rigorous look at compressible flow past a circular-arc profile, with iterative improvements that boost subsonic accuracy.

This work extends established methods to include camber and thickness effects on a circular-arc profile. It explains how the undisturbed stream direction is aligned with the profile chord to avoid stagnation points and how the Kutta condition determines circulation. The study builds up the velocity potential through successive approximations, showing how each step tightens the solution for compressible flow in the subsonic range.

The discussion covers how the incompressible case informs the compressible corrections, and it outlines the boundary conditions that ensure tangential flow to the surface and vanishing disturbance at infinity. The results provide expressions for the velocity potential and the surface velocity, with details given in appendixes to keep the main narrative focused.

• How camber and thickness influence circulation in compressible flow.
• How an iteration process refines the Prandtl–Glauert result toward higher accuracy.
• How boundary conditions shape the solution and remain finite at the trailing edge.
• Where to find the step-by-step calculations and associated results.

Ideal for readers of aerodynamic theory and engineers seeking a deeper understanding of subsonic flow past curved profiles.