CHAPTER02:AERODYNAMICS SOME FUNDAMENTAL PRINCIPLES AND EQUATIONS¶

Example E01 : Pg 56¶

In [1]:
# All the quantities are in SI units
from math import pi,sqrt
v_inf = 240.; # freestream velocity
l = 1.;       # wavelength of the wall
h = 0.01;    # amplitude of the wall
M_inf = 0.7; # freestream mach number
b = sqrt(1.-(M_inf**2.));
x = l/4.;
y = l;

#function temp = u(x,y)
#temp = v_inf*(1 + (h/b*2*%pi/l*cos(2*%pi*x/l)*exp(-2*%pi*b*y/l)));
#endfunction

#function temp = v(x,y)
#temp = -v_inf*h*2*%pi/l*sin(2*%pi*x/l)*exp(-2*%pi*b*y/l);
#endfunction

d = 1e-10;

#du = derivative(u,x,d);

#dv = derivative(v,y,d);


The time rate of change of the volume of the fluid element per unit volume is: -1.07e-08 s-1