Civil Engineering (CE) Exam > Civil Engineering (CE) Notes > Topic wise GATE Past Year Papers for Civil Engineering > Past Year Questions: Viscous Flow of incompressible Fluid
Past Year Questions: Viscous Flow of incompressible Fluid | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) PDF Download
Q1: 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) 
(c) πr2p
(d) zero
Ans: (d)
Q2: 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 
(in N/m2 per m, round off to 1 decimal place) is ________. [2019 : 2 Marks, Set-I]
Ans:
Velocity distribution equation for Couette flow
Q3: 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
Ans: (b)
Shear stress variation between parallel stationary plats.
Q4: 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
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]
Ans: (a)
Velocity expression for a laminar flow between two parallel plates is,
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FAQs on Past Year Questions: Viscous Flow of incompressible Fluid - Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
| 1. What is viscous flow in the context of incompressible fluids? |  |
Ans.Viscous flow refers to the movement of a fluid that has significant internal friction, or viscosity, which resists its motion. In the context of incompressible fluids, this means that the fluid's density remains constant regardless of the flow conditions. Examples include water and oils flowing through pipes or around objects.
| 2. What are the key equations governing viscous flow in incompressible fluids? | |
Ans.The fundamental equations governing viscous flow in incompressible fluids are the Navier-Stokes equations and the continuity equation. The Navier-Stokes equations describe the motion of fluid substances, while the continuity equation ensures mass conservation within the fluid flow.
| 3. How does viscosity affect the flow of incompressible fluids? | |
Ans.Viscosity is a measure of a fluid's resistance to deformation and flow. In incompressible fluids, higher viscosity leads to slower flow rates and greater energy loss due to friction. It affects the velocity profile of the fluid, creating a gradient where the fluid moves fastest at the center and slower near the boundaries.
| 4. What are some common applications of viscous flow in engineering? | |
Ans.Common applications include the design of pipelines for transporting liquids, the analysis of blood flow in medical devices, and the study of lubrication in machinery. Understanding viscous flow is crucial for optimizing these systems for efficiency and performance.
| 5. What are the differences between laminar and turbulent flow in viscous incompressible fluids? | |
Ans.Laminar flow is characterized by smooth, orderly layers of fluid moving in parallel, with low Reynolds numbers, while turbulent flow involves chaotic and irregular fluid motion with higher Reynolds numbers. In laminar flow, viscosity dominates, whereas in turbulent flow, inertial forces are significant, leading to mixing and increased energy loss.
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