Page 92 - 48Fundamentals of Compressible Fluid Mechanics

54 CHAPTER 4. ISENTROPIC VARIABLE AREA FLOW

SOLUTION
Both Mach numbers are known, thus the area ratios can be calculated. The to-
tal pressure can be calculated because the Mach number and static pressure are
known. With these information, and utilizing equation (4.59) the stagnation pres-
sure at point B can be obtained.

0'

0

3% 3'3

% (*3 (

First, the stagnation at point A is obtained from Table 4.2 as

'

3
3'
3(

*%*

3
0

3

(/%

Utilizing equation (4.59) provides

'% (/33'

Hence (/% (/3 3!( #
#
%(
3'
'3!(

Note that the large total pressure loss is much larger than the static pressure loss

3 [Bar]).

(

'3

&

4.3

%

%
Isentropic Tables
#
(Pressure point B the pressure is
(
'

(
Table 4.2: Isentropic Table

)(/%

'3 %
% 3 (

%(*

%
0(

%'
%

%

%

(
*3

%'%
3%

%'% (

%

%
'3'
'%

(

% 3

3%

%

)( 3'

3'
*

'%