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For a steady, inviscid, adiabatic flow of a gas, the total temperate is constant along the flow.

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For a steady, inviscid, adiabatic flow of a gas, the total temperate is constant along the flow.

(a) True always

(b) False always

(c) True only for calorically perfect gas

(d) False only for calorically perfect gas

The question was asked in an international level competition.

Asked question is from Definition of Total Stagnation Conditions in division Compressible Flow – Preliminary Aspects of Aerodynamics

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The correct answer is (c) True only for calorically perfect gas

Explanation: The total enthalpy of a steady, inviscid, adiabatic gaseous flow is constant. For a calorically perfect gas the total enthalpy can be written in terms of total temperature times the specific heat at constant pressure (which is also a constant). Thus, the total temperature is also a constant.

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