GATE ME 2021 Set 2 — Question 30
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Fluid Mechanics → Compressible Flow → Isentropic Flow & Stagnation
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Question
Consider adiabatic flow of air through a duct. At a given point in the duct, velocity of air is , temperature is and pressure is . Assume that the air behaves as a perfect gas with constant . The stagnation temperature at this point is _______ K (round off to two decimal places).
Correct answer
373 to 377
Solution
The stagnation temperature for a gas flow is given by the energy equation:
Given:
Static temperature,
Velocity,
Specific heat at constant pressure,
Substituting the values:
Rounding off to two decimal places, the stagnation temperature is 374.78 K.
Given:
Static temperature,
Velocity,
Specific heat at constant pressure,
Substituting the values:
Rounding off to two decimal places, the stagnation temperature is 374.78 K.
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