GATE_AE_2027_MOCK_05_Q41
GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale)
MSQ · 2 Marks
Aerodynamics & Fluid Mechanics • Basic Fluid Mechanics • Continuity, Momentum & Energy Equations
Which of the following conditions must hold for Bernoulli's equation p + 0.5 ho V^2 + ho g z = constant to be valid between any two arbitrary points in a flow field?
(A) The flow must be steady.
(B) The flow must be inviscid (frictionless).
(C) The fluid density must be constant (incompressible).
(D) The flow must be irrotational (
abla imes V = 0).
Answer Key:
A,B,C,D
Step-by-Step Verified Solution
### Solution: Along a single streamline, steady, inviscid, incompressible conditions suffice. But for the constant to be identical across the entire flow field (between ANY two arbitrary points), the flow must additionally be irrotational. Correct: A, B, C, D.