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Select the incorrect statement if all the streamlines of the steady, inviscid, adiabatic flow originate from a common uniform freestream.

(a) Stagnation enthalpy is same for each streamline

(b) h0 is constant along the entire flow

(c) h0 is not equal to the freestream value

(d) h + V^2 = h0 is energy equation per unit mass

I have been asked this question by my school teacher while I was bunking the class.

The question is from Definition of Total Stagnation Conditions in section Compressible Flow – Preliminary Aspects of Aerodynamics

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Best answer
Right option is (c) h0 is not equal to the freestream value

Best explanation: h0 is the stagnation enthalpy for the steady, inviscid, adiabatic flow which is equal to the static enthalpy plus kinetic energy, all per unit mass. If all the streamlines originate from a common freestream, stagnation enthalpy is equal to the freestream value and is constant along the flow i.e. same for all streamlines.

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