Solution Manual For Engineering Fluid Mechanics by T.T. Al-Shemmeri ISBN 978-87-403-0263-9 Chapter 1-5

Solution Manual For
Engineering Fluid Mechanics by T.T. Al-Shemmeri ISBN 978-87-403-0263-9
Chapter 1-5
test students:Critical Thinking: Each field requires students to think critically—whether it's analyzing a business case, interpreting legal issues, or solving a complex mathematical problem.Application of
Knowledge: All three fields require students to apply knowledge to practical scenarios. Business and law exams often feature case studies or problem-based questions, while


Contents

Book Description: 5
Author Details: 5


1 Chapter One Tutorial Problems 6


2 Chapter Two Tutorial Problems 13


3 Chapter Three Tutorial Problems 21


4 Chapter Four Tutorial Problems 28


5 Chapter Five Tutorial Problems 31


Sample Examination Paper 33
Class Test – Fluid Mechanics 34
Formulae Sheet 44

, 1 Chapter One Tutorial Problems
1.1 Show that the kinematic viscosity has the primary dimensions of L2T-1.
test students:Critical Thinking: Each field requires students to think critically—whether it's analyzing a business case, interpreting legal issues, or solving a complex mathematical problem.Application of
Knowledge: All three fields require students to apply knowledge to practical scenarios. Business and law exams often feature case studies or problem-based questions, while
Solution:

The kinematic viscosity is defined as the ratio of the dynamic viscosity by the density of the fluid.


The density has units of mass (kg) divided by volume (m3); whereas the dynamic viscosity has the units
of mass (kg) per meter (m) per time (s).


Hence:


 ML1T 1
   2 1

LT
 ML3


1.2 In a fluid the velocity measured at a distance of 75mm from the boundary is 1.125m/s. The fluid
has absolute viscosity 0.048 Pa s and relative density 0.913. What is the velocity gradient
and shear stress at the boundary assuming a linear velocity distribution? Determine its
kinematic viscosity.


[Ans: 15 s-1, 0.72Pa.s; 5.257x10-5 m2/s]
Solution:




dV 1.125
Gradient    15 s 1
dy 0.075

dV
   0.048x15  0.720 Pa.s
dy

,  0.048
   5.257x105 m 2 / s
 913
test students:Critical Thinking: Each field requires students to think critically—whether it's analyzing a business case, interpreting legal issues, or solving a complex mathematical problem.Application of
Knowledge: All three fields require students to apply knowledge to practical scenarios. Business and law exams often feature case studies or problem-based questions, while
1.3 A dead-weight tester is used to calibrate a pressure transducer by the use of known weights
placed on a piston hence pressurizing the hydraulic oil contained. If the diameter of the
piston is 10 mm, determine the required weight to create a pressure of 2 bars.


[Ans: 1.6 kg]




Solution:

(a) P = F/A

 
A D2  x0.0102  7.854x105 m2
4 4


Hence the weight =PxA/g
= 2 x 105 x7.854x10-.81
= 1.60 kg


1.4 How deep can a diver descend in ocean water without damaging his watch, which will withstand
an absolute pressure of 5.5 bar?
Take the density of ocean water,  = 1025 kg/m3.

, [Ans: 44.75 m]


Solution:

Use the static equation: p =  g h
Hence the depth can be calculated as:


P
 (5.5  1)x10  44.75m Water
5
h
.g 1025x9.81
test students:Critical Thinking: Each field requires students to think critically—whether it's analyzing a business case, interpreting legal issues, or solving a complex mathematical problem.Application of
Knowledge: All three fields require students to apply knowledge to practical scenarios. Business and law exams often feature case studies or problem-based questions, while



1.5 The U-tube manometer shown below, prove that the difference in pressure is given by:


 d  
2

P1  P2  .g.z2 1    
D
   




