For the following 2D incompressible and steady ow elds: (1) u = 4y, V = 3, (ii) u 2 4y, V =
3X, and (iii) u 2 4y, V = - 4X. Determine:
a) Streamline equation (sketch the streamlines)
b) Expression of the components of the (material) acceleration. Calculat

CE 335
FLUID MECHANICS
Chapter 8
Reynolds Number
Reynolds concluded that the
classification of a flow regime can be
obtained by using a dimensionless
number called Reynolds Number:
vD
R
Pipe flow is laminar if R<2100,
turbulent if R>4000. Between 2100

CE 335 Notes for MT#l
CEAPTERl
Specific weight of a fluid:
Specific gravity sg=p/Pw
Specific volume a=l/p
y =pg
De11sity of ideal gas:
p
R = J?./m
p =RT '
p and Tare absolute pressure and temperature
Furthermore: R is engineering gas constant for fluid w

CE 335
FLUID MECHANICS
Lecture 1
FLUID MECHANICS
Discipline concerned with the behavior of
fluids at rest or in motion.
Essential part of many disciplines
Applications include:
CIVIL ENGINEERING: flow of fluids in
pipes and open channels
MECHANICAL ENGI

CE 335
FLUID MECHANICS
Fluid Kinematics
Fluid kinematics deals with the
study of fluid motion without
necessarily considering the
forces and moments that cause
the motion or how the motion is
created.
The purpose of kinematics is the
study of how fluids

CE 335 FLUID MECHANICS
HOMEWORK #5 SOLUTIONS
Problem #1 (Problem 5.42, page 261)
Problem #2 (Problem 5.61, page 263 modified)
Problem #3
.
Problem #4
Problem #5
Problem # 6

CE 335 FLUID MECHANICS
HOMEWORK #3
SOLUTIONS
Problem 1 (Solve using the pressure prism approach)
Problem 2 (Problem 2.101, page 92-93. Solve using the pressure prism approach)
Problem 3 (Problem 2.108, page 95)
Problem 4 (Problem 2.117, page 95)
Problem 5

A vertical, cylindrical tank with a diameter of 12m and a depth of 4m is ﬁlled to the top With
water at 20 0C. If the water is-heated to 50 0C, how much water will spill over? A 2-ﬁ3 closed tank is ﬁlled with 0.30 lb (weight) of gas, which is thought to b

Problem (Problem 9.56 on page 414 In the textbook)
In a 50 mm pipeline, 95 l/min of glycerin owat 20C. Calculate the loss of head In 50 m of this
pipe (=1 .4939 Pa*s p= 1257. 6 kg/m3)
Dee'tveina (Lg HGW it) lemme?" CW iMViomi-Wt
, L. WY
, 9-. ie - ~ . .,

Problem
Both a gage and a manometer are attached to a gas tank to measure its pressure If the reading on
the pressure gage is 80 KPa determine the distance h between the two uid levels of the manometer
is the uid IS a) mercury (s. g. 13 6) b) water (Yw: 9

A vertical, cylindrical tank with a diameter of 12m and a depth of 4m is lled to the top with
water at 20 0C. If the water is heated to 50 OC, how much water will spill over? Calculate the specic weight, specic volume and density of carbon dioxide at 90 0

A 24,000 lb gate can open in counter clockwise direction about its hinge point as shown below.
What is the pressure at A? Draw a free body diagram of the gate (10 ft wide) showing all forces and
the location of their line of action. Calculate the minimum

52
Problem # (Problem # 5.69 page 176)
Gasoline (s. g 0 85) 1s owing 1n the following pipe Calculate the $356M readings and the owrate.
W)( 11 913131111/31)
:.:;:om\il b1"&;wggh@ 11M (9
2.
v P V1
*El%w 1 EUR-zfj; Fa-1111511,
lg 15 213/ V1 11v;
, Pg F

The horizontal 200 mm suction pipe of a pump is 150 m long and is connected to a reservoir of
surface elevation 90 m, 3 m below the water surface. From the pump, the 150 mm discharge pipe
runs 600 m to a reservoir of surface elevation 126, which it enters

Water ows steadily into and out of a tank that sits on frictionless wheels as shown. Determine |
the diameter D so that the tank remains motionless if F =0. I
CID
l
H0 73! WE"
E
EE "31ng EC Es? MEEEE EEELE WEE
E
E?
n A: 3.
we
E E 3 M E EE EEE EEEE EEE

In the following gure a vane from an impulse turbine is shown. Assume that the friction is
negligible (i. e. velocity remains the same on the vane), that 9 = 125 and that the water jet has
velocity of 120 ft/s and a diameter of l in
a) Assume that the van

Flow of a real fluid
CE 335
Chapter 9
Real fluid
In a real fluid viscosity introduces
resistance to motion.
Friction forces develop between fluid
particles and between fluid and
boundary walls.
Work must be done to overcome the
friction forces and energy