GATE Civil Engineering (CE) 2027 Test: Boundary Layer Theory - 1 Free Online

A fluid with kinematic viscosity v flows in laminar stage along a flat plate with free-stream velocity V. At a distance x from the leading edge, the Reynolds number of the flow is given by R = Vx/v. The thickness of the boundary layer at x will be proportional to 

Magnus effect may be used advantageously in games such as cricket, tennis, table tennis and golf. In order to obtain a lift, i.e. a rising curve for the trajectory of the ball, from left to right, the nature of the spin to be given is

Match List - I with List - ll and select the correct answer using the codes given below the lists:

A thin smooth plate 1 m wide and 2 m long is towed through water at a velocity of 2 m/s. Assuming that boundary remains laminar, then drag on both sides of the plate is (kinematic viscosity = 10^-6 m²/s)

For a turbulent boundary layer (under zero pressure gradient), the velocity profile is described by the one-fifth power law. What is the ratio of displacement thickness to boundary layer thickness?

The velocity distribution for flow over a plate is given by u = 0.5y - y² where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m², then what is the shear stress at 0.20 m from the boundary?

In the case of a sphere placed in a fluid stream

A very tiny sphere is settling down in a viscous liquid at Reynold’s number = 0.2. Its drag coefficient will be

According to Prandtl-Blassius relation, the thickness of boundary layer in turbulent flow is 
where x = distance between leading edge of the body and the section where thickness of boundary layer is required.
R_ex = Reynold’s number at a distance x from the leading edge.

In which of the following the friction drag is generally larger than pressure drag?