Question

K+ and K– constant along the characteristic lines related velocity to J+ and J– constants.

(a) True

(b) False

The question was asked by my college director while I was bunking the class.

My doubt stems from Determination of Compatibility Equations topic in section Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer 1

Correct answer is (b) False

Easiest explanation: K+ and K– constants along the characteristic lines are given by:

θ + ν(M) = const (along C+ characteristic line)

θ – ν(M) = const (along C+ characteristic line)

These equations relate the magnitude of velocity with the direction of C+ and C– characteristic lines which is known as a hodograph characteristic. These help in giving us the solution for the methods of characteristics.