Exams › GATE › Technical

For a two-dimensional incompressible flow field given by u = A(x î − y ĵ), where A > 0, which one of the following statements is FALSE?

1. It satisfies continuity equation.
2. It is unidirectional when x → ∞ and y → ∞.
3. Its streamlines are given by x = y.
4. It is irrotational.

Correct answer: Its streamlines are given by x = y.

Solution

The statement is false because the streamlines of the flow field are determined by the velocity components, which indicate that the streamlines are not simply given by the equation x = y; instead, they follow a more complex relationship based on the flow's characteristics.

Related GATE Technical questions

• If σ1 and σ3 are the algebraically largest and smallest principal stresses respectively, the value of maximum shear stress is
• The equation of motion for a spring-mass system excited by a harmonic force is M x¨ + K x = F cos(ωt), where M is the mass, K is the spring stiffness, F is the force amplitude and ω is the angular frequency of excitation. Resonance occurs when ω is equal to
• For an Oldham coupling used between two shafts, which among the following statements are correct? I. Torsional load is transferred along shaft axis. II. A velocity ratio of 1:2 between shafts is obtained without using gears. III. Bending load is transferred transverse to shaft axis. IV. Rotation is transferred along shaft axis.
• Which one of the following statements is correct for a superheated vapour?
• In a linearly hardening plastic material, the true stress beyond initial yielding
• Using the Taylor's tool life equation with exponent n = 0.5, if the cutting speed is reduced by 50%, the ratio of new tool life to original tool life is

⚔️ Practice GATE Technical free + battle 1v1 →