If area ratio is 1.110 then, at which mach number flow is flowing?

A)
0.21
B)
0.68
C)
1.89
D)
2.4

Correct Answer :   0.68


Explanation : Given, area ratio A/A* = 1.110
Now, as we know, A/A* = (1/M)*(1+0.2M2)3*0.5787
For given problem, we will substitute different values of Mach number from the options.
Let’s consider M = 0.68
Hence, for assumed value of Mach number,
A/A* = (1/0.68)*(1+0.2*0.682)3*0.5787
A/A* = 0.8510*1.092483 = 1.110.
The evaluated area ratio is equal to the given area ratio.
Hence, correct value of Mach number is 0.68.