CH8: Small Perturbation Theory

Question 1

True or False
Flow over a thin airfoil is subject to linearization without a large loss of accuracy.

Answer 1

True.

Modern Compressible Flow, Anderson, Pg. 319

Question 2

True or False
Small perturbation theory guarantees that the equations of motion can always be linearized.

Answer 2

False.

Modern Compressible Flow, Anderson, Pg. 320

Question 3

True or False
Transonic and Hypersonic flows cannot be linearized even using small perturbation theory.

Answer 3

True.

Modern Compressible Flow, Anderson, Pg. 323

Question 4

True or False
The pressure coefficient is simply a non-dimensional pressure difference.

Answer 4

True.

Modern Compressible Flow, Anderson, Pg. 324

Question 5

The pressure coefficient may be written in terms of perturbation velocities after linearization. What is the final formula?

Answer 5

Cp = -2u/V_infinity

Modern Compressible Flow, Anderson, Pg. 325

Question 6

The linearized pressure coefficient depends only on the ______ component of the perturbation velocity.

Answer 6

x -component

Modern Compressible Flow, Anderson, Pg. 325