Fluid Mechanics Exercise: Pipe Diameter, Velocity Profiles, Compressible Flow - Prof. Meky, Exercises of Fluid Mechanics

A fluid mechanics exercise for second-year engineering students, consisting of three problems. The first problem deals with finding the average velocities in a tapering pipe with a given water flow rate. The second problem involves plotting the velocity profile and calculating the discharge per unit width and mean velocity for air flowing between two parallel plates. The third problem investigates the flow fields of steady compressible fluids with given velocity components and determines if the flow is physically possible, rotational, or irrotational.

Typology: Exercises

2022/2023

Available from 02/12/2024

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Fluid mechanics
Second year
Dr. Naira Meky
Eng. Asmaa M.Ameen
EXERCISE NO 5
1. A pipe line tapers from 8 cm diameter to 4 cm diameter. the quantity of water flowing
through the pipe is 100 lit/sec. find the average velocities at the two sections.
2. Air flows between two parallel plates 80 mm a part. the following velocities were
determined by direct measurement distance from one
Plate
(mm) 0 10 20 30 40 50 60 70 80
Velocity
(m/s)
0 23 28 31 32 29 22 14 0
Plot the velocity profile and calculate the discharge per unit width and mean velocity.
3. Investigate the flow fields of steady in compressible fluids having the following
velocity components
a U=6 V=9
b U=5 V=3x
c U=8y V=0
Showing which flow field is physically possible and if the flow is rotational or
irrotational.

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Fluid mechanics

Second year

Dr. Naira Meky

Eng. Asmaa M.Ameen

EXERCISE NO 5

  1. A pipe line tapers from 8 cm diameter to 4 cm diameter. the quantity of water flowing through the pipe is 100 lit/sec. find the average velocities at the two sections.
  2. Air flows between two parallel plates 80 mm a part. the following velocities were determined by direct measurement distance from one Plate (mm)

Velocity (m/s)

Plot the velocity profile and calculate the discharge per unit width and mean velocity.

  1. Investigate the flow fields of steady in compressible fluids having the following velocity components a U=6 V= b U=5 V=3x c U=8y V= Showing which flow field is physically possible and if the flow is rotational or irrotational.