GATE XE (Engineering Sciences) 2024 - Question 43

Section: Fluid Mechanics | Type: NAT | Marks: 2

Consider the incompressible fluid flow over a flat plate with a free stream velocity, 𝑈∞= 1 m/s. The fluid kinematic viscosity is 10−6 m2/s and density is 1 kg/m3. The velocity profile within the boundary layer at any location 𝑥 is given by 𝑢(𝑦) = 𝑈∞( 3 2 𝑦 𝛿− 1 2 𝑦2 𝛿2), where boundary layer thickness, 𝛿= 4.64𝑥 √𝑅𝑒𝑥. The local wall shear stress at 𝑥= 1 m from the leading edge is _____ × 10 -3 N/m2 (rounded off to two decimal places).

Answer: 0.30 to 0.35