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GATE CE 2021: Fluid Mechanics Quiz 6 (App update required to attempt this test)
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Question 1
What are the values of coefficients a and c if velocity distribution in a laminar boundary layer on a flat is:
Question 2
In a laminar flow between two fixed plates held parallel to each other at a distance d, the shear stress is:
1) Maximum at plane d/2 away from each plate and zero at the plate boundaries.
2) Zero throughout the passage.
3) Maximum at the plate boundaries and zero at a plane d/2 away from each plate.
Which of the above statements is/are correct?
1) Maximum at plane d/2 away from each plate and zero at the plate boundaries.
2) Zero throughout the passage.
3) Maximum at the plate boundaries and zero at a plane d/2 away from each plate.
Which of the above statements is/are correct?
Question 3
Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/ s in the x-direction. The distance between the plates is 5mm and the dynamic viscosity of the fluid is 0.01 N-s/mIf the shear stress on the lower plate is zero, the pressure gradient, 
(in N/m2 per m, round off to 1 decimal place) is______
(in N/m2 per m, round off to 1 decimal place) is______Question 4
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression
In this equation, the y=0 axis lies equidistant between the plates at a distance h/2 from the two plates, p is the pressure variable and μis the dynamic viscosity term. The maximum and average velocities are, respectively
In this equation, the y=0 axis lies equidistant between the plates at a distance h/2 from the two plates, p is the pressure variable and μis the dynamic viscosity term. The maximum and average velocities are, respectively
Question 5
If the velocity profile for laminar boundary layer is described by 
then the momentum correction factor for the velocity profile is
then the momentum correction factor for the velocity profile is Question 6
A water tank containing 5 m depth of water has a horizontal crack, of thickness 0.12 mm at the bottom of tank extending all the way through the 50 cm of the wall at that location. The water seeps through this crack to atmosphere. The leakage rate per minute per meter width of the crack (l/min/m] is
[Take kinematic viscosity of water = 0.01 stokes, g = 9.79 m/s2, p = 998 kg/m3]
[Take kinematic viscosity of water = 0.01 stokes, g = 9.79 m/s2, p = 998 kg/m3]
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