Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > For laminar flow between two fixed parallel p...
Start Learning for Free
For laminar flow between two fixed parallel plates, the flow velocity
- a)is constant over the cross-section
- b)varies parabolically across the section
- c)varies as three-halves power of distance from the mid-point
- d)is maximum at the center, zero at the plates and the variation in between is linear
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
For laminar flow between two fixed parallel plates, the flow velocitya...
Correct Answer :- b
Explanation : Laminar flow, type of fluid (gas or liquid) flow in which the fluid travels smoothly or in regular paths, in contrast to turbulent flow, in which the fluid undergoes irregular fluctuations and mixing. ... The fluid in contact with the horizontal surface is stationary, but all the other layers slide over each other.
The velocity profile is a parabola.
Most Upvoted Answer
For laminar flow between two fixed parallel plates, the flow velocitya...
Laminar flow refers to a smooth and orderly flow of a fluid along a fixed path, without any turbulence. In the case of flow between two fixed parallel plates, the flow velocity can be determined by considering the boundary conditions and the governing equations of fluid flow.
Boundary Conditions:
The flow velocity at the plates is zero (since the fluid is in contact with the stationary plates), and the flow velocity at the center of the channel is maximum.
Governing Equations:
The flow of a viscous fluid between two parallel plates can be described by the Navier-Stokes equations, which govern the motion of a fluid. However, for laminar flow, the Navier-Stokes equations simplify to the Stokes equations.
Explanation:
In the case of laminar flow between two fixed parallel plates, the flow velocity varies parabolically across the cross-section. This can be explained by the concept of shear stress and velocity profile.
Shear Stress:
Shear stress is the force per unit area acting tangentially to the surface of an object. In the case of laminar flow between two plates, the shear stress is maximum at the plates and decreases towards the center of the channel. This is because the fluid in contact with the plates experiences more resistance to flow due to the no-slip condition.
Velocity Profile:
The variation in shear stress results in a corresponding variation in flow velocity. Due to the no-slip condition at the plates, the flow velocity is zero at the plates. As we move towards the center of the channel, the shear stress decreases, resulting in an increase in flow velocity. At the center of the channel, the shear stress is minimum, and therefore, the flow velocity is maximum.
The velocity profile can be described by a parabolic equation, known as the Hagen-Poiseuille equation. This equation relates the flow velocity to the distance from the center of the channel. The velocity profile is symmetrical about the centerline.
Therefore, the correct answer is option 'B': The flow velocity varies parabolically across the section.
Boundary Conditions:
The flow velocity at the plates is zero (since the fluid is in contact with the stationary plates), and the flow velocity at the center of the channel is maximum.
Governing Equations:
The flow of a viscous fluid between two parallel plates can be described by the Navier-Stokes equations, which govern the motion of a fluid. However, for laminar flow, the Navier-Stokes equations simplify to the Stokes equations.
Explanation:
In the case of laminar flow between two fixed parallel plates, the flow velocity varies parabolically across the cross-section. This can be explained by the concept of shear stress and velocity profile.
Shear Stress:
Shear stress is the force per unit area acting tangentially to the surface of an object. In the case of laminar flow between two plates, the shear stress is maximum at the plates and decreases towards the center of the channel. This is because the fluid in contact with the plates experiences more resistance to flow due to the no-slip condition.
Velocity Profile:
The variation in shear stress results in a corresponding variation in flow velocity. Due to the no-slip condition at the plates, the flow velocity is zero at the plates. As we move towards the center of the channel, the shear stress decreases, resulting in an increase in flow velocity. At the center of the channel, the shear stress is minimum, and therefore, the flow velocity is maximum.
The velocity profile can be described by a parabolic equation, known as the Hagen-Poiseuille equation. This equation relates the flow velocity to the distance from the center of the channel. The velocity profile is symmetrical about the centerline.
Therefore, the correct answer is option 'B': The flow velocity varies parabolically across the section.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer?
Question Description
For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer?.
For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer?.
Solutions for For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For laminar flow between two fixed parallel plates, the flow velocitya)is constant over the cross-sectionb)varies parabolically across the sectionc)varies as three-halves power of distance from the mid-pointd)is maximum at the center, zero at the plates and the variation in between is linearCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup