The first two zones immediately after are computed using the same
techniques that were developed and discussed earlier.
For the first direction is for
and Mach number =5.







5.0000 
0.43914 
3.5040 
86.0739 
24.3217 
15.0000 
0.69317

<>
And the addition conditions are







5.0000 
3.5040 
24.3217 
15.0000 
1.9791 
1.9238 
0.69317

<>
For the second direction is for
and Mach number =5.







5.0000 
0.43016 
3.8006 
86.9122 
21.2845 
12.0000 
0.80600

<>
And the additional conditions are







5.0000 
3.8006 
21.2845 
12.0000 
1.6963 
1.6625 
0.80600

<>
The conditions in zone 4 and zone 3 have to have two things that are
equal, and they are the pressure and the velocity direction.
It has to be noticed that the velocity magnitudes in zone 3 and 4 do
not have to be equal.
This non continuous velocity profile can occurs in our model
because it is assumed that fluid is nonviscous.
If the two sides were equal because symmetry the slip angle was zero.
It is to say, for the analysis, that only one deflection angle exist.
For the two different deflection angles, the slip angle has two
extreme cases.
The first case is where match lower deflection angle and second to
match the higher deflection angle.
In this case, it is assumed that the slip angle moves half of
the angle to satisfy both of the deflection angles (first
approximation).
Under this assumption the continuous in zone 3 are
solved by looking at the deflection angle of
which results in







3.5040 
0.47413 
2.6986 
85.6819 
27.6668 
13.5000 
0.88496 
<>
with the additional information







3.5040 
2.6986 
27.6668 
13.5000 
1.6247 
1.5656 
0.88496 
<>
And in zone 4 the conditions are due to deflection angle
of
and Mach 3.8006







3.8006 
0.46259 
2.9035 
85.9316 
26.3226 
13.5000 
0.86179 
<>
with the additional information







3.8006 
2.9035 
26.3226 
13.5000 
1.6577 
1.6038 
0.86179 
<>
From these tables the pressure ratio at zone 3 and 4 can be
calculated
To reduce the pressure ratio the deflection angle has to be reduced
(remember that at weak weak shock there is almost no pressure change).
Thus, the pressure at zone 3 has to be reduced.
To reduce the pressure the angle of slip plane has to increase
from
to a larger number.
