Chemegate

GATE 2026 Chemical Engineering, Q60 · Fluid Mechanics

The correct answer is 2.

Question

Consider steady, laminar flow of an incompressible fluid with zero pressure gradient over a thin horizontal flat plate of length 2 m, free stream velocity 1 m s1.s⁻¹. A boundary layer thickness of 1 mm is observed at 0.25 m from the leading edge. At 1 m from the leading edge, the boundary layer thickness (in mm) is _________ (rounded off to the nearest integer).

Official answer: 2

Why

GATE 2026 official key: 2. For a laminar boundary layer, δx,δ \propto \sqrt{x}, so δ(1δ(1 m) =δ(0.25= δ(0.25 m) ×1/0.25=1 \times \sqrt{1/0.25} = 1 mm ×2=2 \times 2 = 2 mm.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.