Target GATE 2022 (Fluid Mechanics)

 Q.1 In a 4 cm diameter pipeline carrying laminar flow of a liquid with dynamic viscosity = 1.6 centipoise, the velocity at the axis is 2 m/sec. what is the shear stress midway between the wall and the axis (in N/m^2) is

(a) 0.01        (b) 0.0125        (c) 0.0175         (d) 0.02

Q.2 The velocity distribution in a laminar flow adjacent to a solid wall is given by u = y-y^2. The viscosity of fluid is  5 poise. What is the shear stress (in N/m^2) at a section y = 0.05 m?

(a) 6.1          (b) Zero             (c) 12.3           (d) 0.45

Q.3 Water of kinematic viscosity = 1 centistoke flows through a 1 cm diameter pipe. Critical flow will correspond to a discharge of approximately (in l/s)is

(a) 0.008        (b) 0.013         (c) 0.016            (d) 0.025

Q.4 For laminar flow between parallel plates separated by a distance 2h, head loss varies 

(a) directly as h          (b) inversely as h      (c) directly as h^2   (d) inversely as h^3