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GATE ME: Fluid Mechanics & Fluid Machinery Champion Quiz 4
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Question 1
Consider a fully developed steady laminar flow of an incompressible fluid with viscosity μ through a circular pipe of radius R. Given that the velocity at a radial location of R/2 from the centerline of the pipe is U1, the shear stress at the wall is KμU1/r where K is___
Question 2
For flow through a horizontal pipe, the pressure gradient 
in the flow direction is
in the flow direction is Question 3
Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N1/N2) of the two turbines is 2, then the respective power ratio (P1/P2) is ________
Question 4
If there are m physical quantities and n fundamental dimensions in a particular process, the number of non-dimensional parameters is
Question 5
Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the length of the pipe is doubled and the diameter is halved, the head loss due to friction will increase by a factor of __________.
Question 6
Consider laminar flow of water over a flat plate of length 1 m. If the boundary layer thickness at a distance of 0.25 m from the leading edge of the plate is 8 mm, the boundary layer thickness (in mm), at a distance of 0.75 m, is _______
Question 7
For air flow over a flat plate, velocity (U) and boundary layer thickness (δ) can be expressed respectively, as
If the free stream velocity is 2m/s, and air has kinematic viscosity of 1.5×10-5 m2/s and density of 1.23 kg/m3, the wall shear stress at x = 1m, is
If the free stream velocity is 2m/s, and air has kinematic viscosity of 1.5×10-5 m2/s and density of 1.23 kg/m3, the wall shear stress at x = 1m, is
Question 8
Oil (kinematic vicosty, νoil = 1 × 10−5 m2/s) flow through a pipe of diameter 500 mm with a velocity of 10 m/s νω = 0.89 × 10−6 m2/s) diameter flowing through a model pipe of diameter 20 mm for satisfying the dynamic similarity, the velocity of water (in m/s) is __________
Question 9
Pipes of length 
, 
etc and diameter 
, 
etc are connected in series. A single pipe of length 
having same pressure loss as all pipes in series will have diameter equal to
, etc and diameter , etc are connected in series. A single pipe of length having same pressure loss as all pipes in series will have diameter equal to Question 10
The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = u0(1 − 4r2/ D2) , where r is the radial distance from the center. If the viscosity of the fluid is F, the pressure drop across a length L of the pipe is:
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Jun 4ESE & GATE ME
