There are only two problems for this course. They are listed below.
Problem 1: Two-Dimensional Subsonic Flow Over Slender Bodies
Using regular perturbation methods, derive the partial differential equations and boundary conditions for the perturbation velocity potentials φn, n=0, 1, and 2.
Hint: For n=0, the PDE is: (1 - M∞2)φ0xx + φ0xy = 0
Problem 2: Slender Body in Subsonic Flow
Consider a subsonic flow over a slender axially body of profile section
$$R(x)=\frac{2tx(L-x)}{L^2}$$
where t is hte maximum thickness, L is the total length of the body, and (t/L) <<1.
(a) Sketch the profile.
(b) Find the perturbation potential φ.
(c) Find the perturbation velocity component u=∂φ/∂x
(d) Find Cp.