Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev

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Civil Engineering (CE) : Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev

The document Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev is a part of the Civil Engineering (CE) Course Topic wise GATE Past Year Papers for Civil Engineering.
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Question 1. A solid sphere of radius, r and made of material with density, ps is moving through the atmosphere (constant pressure, p) with a velocity, v. The net force ONLY due to atmospheric pressure (Fp) acting on the sphere at any time t, is    [2019 : 1 Mark, Set-ll]
(a) 4πr2p
(b) Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
(c)  πr2p
(d) zero

Answer: (d)

Question 2. 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 5 mm and the dynamic viscosity of the fluid is 0,01 N-s/m2. If the shear stress on the lower plate is zero, the pressure gradient Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev (in N/m2 per m, round off to 1 decimal place) is  ________.     [2019 : 2 Marks, Set-I]
Solution: 
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Velocity distribution equation for Couette flow
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev

Question 3.  For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is    [2017 : 1 Mark, Set-I]
(a) linear with zero value at the plates 
(b) linear with zero value at the center 
(c) quadratic with zero value at the plates 
(d) quadratic with zero value at the center 
Answer: (b)
Solution: 
Shear stress variation between parallel stationary plats.
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev

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 piates that are separated by distance, h, is given by the expression
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
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 n is the dynamic viscosity term. The maximum and average velocities are, respectively    [2014 : 2 Marks, Set-II]
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Answer: 
(a)
Solution:
 
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Velocity expression for a laminar flow between two parallel plates is,
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev
Viscous Flow of incompressible Fluid Civil Engineering (CE) Notes | EduRev

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