/.1
I
1.1 The force. F. of the wind blowing against a building is given by
F = CDPV' A/2. where Vis the wind speed. P the density of the air.
A the cross-sectional area of the building. and CD is a co
FLUID MECHANICS
DENSITY, SPECIFIC VOLUME, SPECIFIC
WEIGHT, AND SPECIFIC GRAVITY
The denitions of density, specic volume, specic weight,
and specic gravity follow:
t = limit
Dm DV
c = limit
DW DV
c = l
JME 3700
Introduction to Fluid Mechanics
General Overview
Instructor: Prof. Michael Wendl
Assistants: TBA
Time: Tuesdays and Thursdays 5:30 pm to 7:00 pm
Location: James S. McDonnell Hall, Room 361
Sy
Newtonian Fluids are fluids which continue to flow regardless of the forces acting on it.
= du/dy ; blood is not Newtonian fluid.
If the fluid is compressible, density will very as a function of the
Newtonian Fluids are fluids which continue to flow regardless of the forces acting on it.
= du/dy ; blood is not Newtonian fluid.
If the fluid is compressible, density will very as a function of the
Drag (sometimes called air resistance or fluid resistance) refers to forces that oppose
the relative motion of an object through a fluid. Drag forces act in a direction of the
oncoming flow velocity,
JME 3700
Midterm Quiz: March 19, 2013
Name:
Solutions
1. A brass cube of edge length LB and weight WB
is attached by a wire having negligible mass to
a block of styrofoam in a pool of water (Fig. 1).
Syllabus
JME 3700: Introduction to Fluid Mechanics
This is the tentative information for the course and it is subject to change without notice. Check
periodically! Last updated on January 19, 2010.
#
Syllabus
JME 3700: Introduction to Fluid Mechanics
This is the tentative information for the course and it is subject to change without notice. Check
periodically! Last updated on January 9, 2014.
#
D
Data for Problem 8.130: Pressure Distribution in the Entrance Region of a Pipe
D, in.
0.74
L, in.
50
x, in.
0
1
2
4
6
10
15
20
30
40
50
h, in.
9.98
7.21
6.61
6.19
5.82
5.15
4.23
3.64
2.28
1.09
0
Q, ft
JME 3700
April 6, 2010
Homework #10 Solutions
1. (10 pts) A pump increases the pressure in a certain piping system. The pressure rise across
this pump, P , depends upon the uid density , the volume ow
JME 3700
April 16, 2010
Homework #12 Solutions
1. (10 pts) A dragster of mass m = 730 kg crosses the nish
line at u0 = 120 m/sec, after which the driver deploys a
chute to slow the vehicle. The chute
JME 3700
April 8, 2010
Homework #11 Solutions
1. (10 pts) Here, well see another remarkable demonstration of how dimensionless analysis can
furnish certain pieces of physically signicant information a
JME 3700
March 26, 2010
Homework #9 Solutions
1. (10 pts) In cylindrical coordinates, we can write velocity in the general form V = urr + u +
i
i
z , where r , , and z are the base vectors in the radi
JME 3700
April 22, 2010
Homework #13 Solutions
1. (10 pts) Water ows at a depth of y = 1 m in a channel having a rectangular crosssection
and a width of w = 3 m. Calculate the volumetric ow rate Q if
JME 3700
March 18, 2010
Homework #8 Solutions
1. (10 pts) A certain incompressible ow is described by the stream function = x y 3 x2 y 2 + 1.
Find the equation(s) of the streamline(s) passing through
dW d
cfw_YW
ddd d
ixY
bxd
i f h y w
iCcfw_8
h o i X
gUgucfw_4CzzY Udxz bxd &q cfw_u sgmYvcfw_ 4C YY
d
h f h o
r xy x i
X y f x ho w x y i
cfw_gcfw_4ggqu8gx
cfw_x Yvcfw_ U&[email protected]
0
U
v
i g g c i g t e g g
pupfmp$uup%w
qgiq wX
dUb
~
dig Xg
dupQp
e i q w i Xy v c q i a g X a d z e g `c i g g e g z ` q t t a c e q i c q i e d v g v
mUYduQfmuu0Qu4h0mpuphrspy~ pwfbmffbm
JME 3700
Final Quiz: May 7, 2013
Name:
Solutions
1. A uid ows through a horizontal pipe of diameter D = 0.01 m and length L = 8 m and the
ow Reynolds number is Re = 1700 (laminar ow).
(a) (10 pts) The
JME 3700
Final Quiz: May 11, 2010
Name:
Solutions
1. A particular ow has the twodimensional velocity eld V = (y cos x+y 2 )
i+(sin x+2xy2y)
j,
where (x, y) are rectangular (Cartesian) coordinates. Ad
JME 3700
Midterm Quiz: March 23, 2010
Name:
Solutions
1. (20 pts) Fluid of constant density ows inviscidly and steadily in a horizontal pipe of diameter
D1 shown in Fig. 1 with a uniform velocity V1 a
o
#Ie
Yqaq
pfpxf
q c g u e r c a q u e r g u r Y q q as w c q l g c e e q Y i g e e c a Y q z
~h'XVfj!PfVypxjf!Pxi#pdxjbv#[email protected] v
U e qy Y c a c h c h qy q a q s r e l a q q a q r e
JME 3700
February 18, 2010
Homework #5
1. (10 pts) Liquid owing in a pipe of radius R has
a linear (i.e. coneshaped and axisymmetric) velocity prole shown in Fig. 1, where the maximum
velocity Vmax oc
JME 3700
February 11, 2010
Homework #4
1. (10 pts) Liquid of density ows through a
branching pipe system (Fig. 1). The inlet at
point 1 and the lower outlet at point 2 can be
taken as the vertical ref