Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Topics Covered:
1) Introduction, Definitions and Properties: Solids, Fluids, Liquids, Ga

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (16)
Cont.
The Irrotational Flow Approximation
There are regions of flow i

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (14)
cont.
Dimensional Analysis and Similarity
Non-dimensionalization of a

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (18)
Irrotational Flows Formed by Superposition
Now that we have a set of

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics I (MR231)
Sheet (6)
12-2015
1. Air enters a nozzle steadily at 2.21 kg/m3 and 30 m/s and leaves at 0.762 kg/m3 and 180
m/s. If the inlet ar

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
Sheet (4)
11-2015
2nd Year
Fluid Mechanics I (MR231)
Hydrostatic Forces on Plane Surfaces
1. Consider a heavy car submerged in water in a lake with a flat bottom. T

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics I (MR231)
Sheet (6)
11-2015
1. A steady, incompressible, two-dimensional velocity field is given by the following
components in the xy-plan

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
Sheet (3)
11-2015
2nd Year
Fluid Mechanics I (MR231)
1. Consider a U-tube shown in the figure below whose arms are open to the atmosphere.
Water is poured into the

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics I (MR231)
Sheet (1)
10-2015
Properties of Fluids
1. A spherical balloon with a diameter of 6 m is filled with helium at 20 oC and
200 kPa.

Fluid Dynamics
Conservation of Momentum
Navier-Stokes Equations
N.S.E
Navier is a French mathematician ( L.M.H. Navier 1758-1836 )
Stokes is the English mechanician ( G.G. Stokes 1819- 1903 )
Dr. Tamer M. Hamed Ahmed
N.S.E can be derived by considerin

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics I (MR231)
Sheet (2)
10-2015
Properties of Fluids
1. A 50-cm x 30-cm x 20-cm block weighing 150 N shown if the figure below is to be
moved a

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics I (MR231)
Sheet (8)
12-2015
1. Consider the fully developed Couette flow (flow between two infinite parallel plates separated
by distance h

Alexandria University
Faculty of Engineering
Naval Architecture &
Marine Engineering Dept.
2nd Year
Fluid Mechanics (I) (MR 231)
Lab Experiment
12-2015
Determination of Hydrostatic Pressure
and Forces on Water Trough
1. Objective:
To experimentally valida

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (17)
Cont.
Building Block 2Line Source or Line Sink
Our second building bl

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (15)
Streamlines, The Stream Function and Irrotational Flow
Approximation

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (2)
Continued
2. Definitions
Normal and Shear Stresses
Stress is defined a

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (6)
Hydrostatic Forces on Submerged Curved Surfaces
For a submerged curved

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (3)
Continued
Density, Specific Weight and Specific Gravity
Density is def

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (7)
Buoyancy
It is a common experience that an object feels lighter and we

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (8)
Fluid Kinematics
In fluid dynamics, Fluid Kinematics is the study that

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (10)
Fluid Kinematics
Vorticity and Rotationality
We have already defined

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (5)
Hydrostatic Forces on Submerged Plane Surfaces
On a plane surface, the

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (9)
Fluid Kinematics
Types of Motion and Deformation of Fluid Elements
In

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (11)
The Reynolds Transport Theorem
As previously defined, a system (also

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (13)
Dimensional Analysis and Modeling
1. Dimensions and Units
A dimension

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (12)
Relationship between Material Derivative and RTT
There is a similarit

Alexandria University
2nd Year - Semester (1)
Faculty of Engineering
Academic Year 2010/2011
Dept. of Naval Architecture & Marine Engineering
Fluid Mechanics (MR 231)
Lecture Notes (4)
Coefficient of Volume Expansion
The density of a fluid, in general, de

Applications
1- Flow between two parallel plates:
u
y
u
a
x
z
Dr. Tamer Mahmoud Hamed
Ahmed
Consider the flow through the clearance between the two parallel surfaces
Shown in Fig.
The x-direction is the flow direction and width parallel to z-direction is