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Which of the following is incorrect for a normal shock wave?(a) M1=1 then M2=1(b) M1 > then M2 > 1(c) M\(_1^*\)=1→M\(_2^*\)=1(d) M1→∞ then M2=finite valueI had been asked this question in homework.Asked question is from Flow Compressible in chapter Normal Shock Waves of Aerodynamics

Answer»

Right option is (b) M1 > then M2 > 1

Easiest explanation: For a normal shock wave, the UPSTREAM and downstream MACH numbers are related irrespective of the other parameters for a particular FLOW. According to the relation, M1=1 then M2=1 andM1 > thenM2 < 1, since normal shock wave compresses the flow. Also, by Prandtl relation when M\(_1^*\)=1→M\(_2^*\)=1 and whenM1→∞ then M2 takes a finite value.



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