Page 254 - 48Fundamentals of Compressible Fluid Mechanics
P. 254
216 CHAPTER 13. OBLIQUE-SHOCK
and
c
Solving equation (13.28) after substituting these values of and provides series
"
The fluid doesn’t ’’see’
the object
"
angle } the object with
M ∞ The fluid ‘‘sees’’
"imaginary" inclanation
} Intermediate zone
}
The fluid "sees"
the object infront
Fig. 13.5: The view of large inclination angle from different points in the fluid field
of roots from which only one root is possible. This root, in the case , is just
(note that the maximum is also a function of heat ratio, ).
?AO
above c
13.4.2.1.2 The Procedure for Calculating The Maximum (Deflection point)
N
. When the right terms defined in
(13.20)-(13.21), (13.29), and (13.30) are substitute into this equation and utilizing
The maximum is obtained when
the trigonometrical and other trigonometrical identities results in
to Maximum Deflection Mach number’s equation in which is
c
c
(13.31)
This equation and it twin equation can be obtained by alternative procedure.
E
C. J.Chapman, English mathematician 15 suggest another way to approached this
15 Mathematician have a different way in looking at things. At time, their approach seems simpler to
explain.