The GATE Grind

GATE Fluid Mechanics: Differential equations of continuity and momentum, velocity potential – Previous Year Questions

3 GATE previous year questions on Differential equations of continuity and momentum, velocity potential (Fluid Mechanics, Mechanical Engineering) with answers and explanations, from every paper.

  1. GATE 2023 ME Q63 (2 marks, Numerical answer) – Consider a unidirectional fluid flow with the velocity field given by V(x, y, z, t) = u(x, t)i where u(0, t) = 1. If the spatially homogeneous density…
  2. GATE 2024 ME Q16 (1 mark, Multiple choice) – The velocity field of a two-dimensional, incompressible flow is given by V = 2 x\,i + v(x, y)\,j where i and j denote the unit vectors in x and y…
  3. GATE 2025 ME Q50 (2 marks, Numerical answer) – Consider a velocity field V = 3z\,i + 0\,j + Cx\,k, where C is a constant. If the flow is irrotational, the value of C is (rounded off to 1 decimal…