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Test: Laminar Flow Between Plates - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Laminar Flow Between Plates

Test: Laminar Flow Between Plates for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Test: Laminar Flow Between Plates questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Laminar Flow Between Plates MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Laminar Flow Between Plates below.
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Test: Laminar Flow Between Plates - Question 1

A fluid (specific gravity = 0.9 and μ = 1.2 Pa.s) flows in a laminar regime between two parallel plates fixed 3 cm apart. If the discharge is 600 cm3/s/cm width of plate, the shear stress on the boundary, in Pa, is

Detailed Solution for Test: Laminar Flow Between Plates - Question 1

The laminar flow between two parallel fixed plate



Shear stress on the boundary


Shear Stress at Boundary:

Q = 600× 10-4 m3 /sec , B = 3×10-2 m
μ = 1.2 pa -sec

τ  = 480 pa

Test: Laminar Flow Between Plates - Question 2

In a flow between two stationary parallel plates, the shear stress is zero

Detailed Solution for Test: Laminar Flow Between Plates - Question 2

The velocity distribution across a section of two fixed parallel plates is parabolically given by

where ∂P/∂x = pressure gradient along the length of the plate
y = point of consideration from lower fixed plate
t = distance between the two fixed parallel plates

From the above velocity and shear stress distribution, the shear stress is zero at the centre where velocity is maximum.

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Test: Laminar Flow Between Plates - Question 3

The shear stress between two fixed parallel plates with a laminar flow between them

Detailed Solution for Test: Laminar Flow Between Plates - Question 3

For the flow between two parallel spaced plates (as shown in the figure below): 

The velocity distribution is given by:

Shear stress is given by:

Hence, shear stress varies directly as the distance from the midplane.
Thus, the stress distribution across a section is depicted below:

∴ The shear stress is maximum at the boundaries and zero at the centre.

Test: Laminar Flow Between Plates - Question 4

The maximum velocity of a one-dimensional incompressible fully developed viscous flow, between two fixed parallel plates, is 6 ms-1. The mean velocity (in ms-1) of the flow is

Detailed Solution for Test: Laminar Flow Between Plates - Question 4

Concept:
Viscous flow in Plates:

Velocity equation:

where t = distance between two plates and y = distance measured from lower plate towards the upper plate.

Shear stress equation:

Maximum velocity happens at, y = t/2, which is given by 
Ratio of Maximum velocity to the Average velocity in case of plates:

Calculation:
Given:

Parallel plates:
Umax = 6 ms-1, Uavg = ??

Test: Laminar Flow Between Plates - Question 5

For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is

Detailed Solution for Test: Laminar Flow Between Plates - Question 5



Shear stress

Test: Laminar Flow Between Plates - Question 6

A flat plate 0.1 m2 area is pulled at 30 cm/s relative to another plate located at a distance of 0.01 cm from it, the fluid separating them being water with viscosity of 0.001 Ns/m2. The power required to maintain velocity will be

Detailed Solution for Test: Laminar Flow Between Plates - Question 6

Concept:
The tangential shear stress between two adjoining is proportional to velocity gradient in direction of perpendicular to the layer. This is known as law of viscosity.

Shear force acting on the moving plate is given by F = τ × A
Power required to maintain velocity U is given by P = F × U

Calculation:
Given μ = 0.001 Ns/m2, U = 0.3 m/s, Y = 0.01 cm = 0.01 × 10-2 m, A = 0.1 m.;
Velocity gradient or rate of shear strain is given by

τ = 0.001 × 3000 = 3 N/m2
F = 3 × 0.1 = 0.3 N,
P = 0.3 × 0.3 = 0.09 W

Test: Laminar Flow Between Plates - Question 7

The boundary layer on a flat plate is called laminar boundary layer if

Detailed Solution for Test: Laminar Flow Between Plates - Question 7

Reynold's number: 

  • It is a dimensionless number that determines the nature of the flow of liquid through a pipe or flat plate. 
  • It is defined as the ratio of the inertial force to the viscous force for a flowing fluid.
  • Reynold's number is written as Re.

Flat plate flow:

  • If Reynold's number lies below 5 × 105, then the flow of liquid is streamlined or laminar.
  • If Reynold's number is greater than or equal to 5 × 105, the flow of liquid is turbulent.
Test: Laminar Flow Between Plates - Question 8

In case of steady incompressible laminar viscous flow between two stationary parallel plates, the velocity distribution is

Detailed Solution for Test: Laminar Flow Between Plates - Question 8

The velocity distribution across a section of two fixed parallel plates is parabolically given by

where ∂P/∂x = pressure gradient along the length of the plate
y = point of consideration from lower fixed plate
t = distance between the two fixed parallel plates

Note: The shear stress distribution across a section of two fixed parallel plates is Linear.

Test: Laminar Flow Between Plates - Question 9

In a laminar flow between two parallel plates with a separation distance of 6 mm, the centre line Velocity is 1.8 m/s. The velocity at a distance of 1 mm from the boundary is: 

Detailed Solution for Test: Laminar Flow Between Plates - Question 9

Concept:
Laminar flow between the parallel fixed plate

Velocity distribution equation is given by:

Where,
u = velocity of the fluid at any distance y from the boundary
H = Distance between two parallel fixed plates.
Calculation:
H = 6 mm, ucentre = 1.8 m/sec

Now, at y = 1 mm

u = 1 m/s.

Test: Laminar Flow Between Plates - Question 10

In a laminar flow between two fixed parallel plates, the shear stress is

Detailed Solution for Test: Laminar Flow Between Plates - Question 10

For the flow between two parallel spaced plates (as shown in the figure below): 

The velocity distribution is given by:

Shear stress is given by:

Thus, the stress distribution across a section is depicted below:

∴ The shear stress is maximum at the boundaries and zero at the center.

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