/.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 constant tenned
the drag coefficient. Detennine the dimen
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 = limit
g : Dm DV = tg
DV " 0
DV " 0
DV " 0
also SG = /w =
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
Synopsis: This course is an introductory treatment 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 elevation (changes with
a change in pressure).
Absolute
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 elevation (changes with
a change in pressure).
Absolute
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, opposite to the direction of movement. Drag forces depe
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).
This system is known to be in a condition of neutral bu
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.
#
DATE
TOPIC
NOTES
1 1/19
Introduction
2 1/21
Fluid Stati
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.
#
DATE
TOPIC
NOTES
1 1/14
Introduction
2 1/16
Fluid Static
FML-3: Open Channel Flow
Tested: October 30, 2012
Due: November 20, 2012
JME 3721
Fluid Mechanics Laboratory
Group B5
Debra Marten (Group Leader)
_
Cody Schollmeyer
_
Jason Wheeler
_
Abstract:
Open Flow Channel experiments help us to understand how fluids
Fluid Mechanics Laboratory
JME 3721
Fluid Property Measurements
Tested: October 02, 2012
Due: October 16, 2012
Group B5
Jason Wheeler
_
Debra Marten
_
Cody Schollmeyer
_
Objective
The objective of this lab is to gain an understanding on the fluid properti
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^3/s
0.481
Hatm, in. Hg
29.7
T, deg F
75
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 rate Q, and the impeller
diameter and rotation rate, D
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 has an eective area of
2.3 m2 and exerts a drag force,
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 almost magically. It is known empirically that radius R
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 radial, angular, and axial directions,
uz i
i i
i
respectiv
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 it is known that the ow is
critical.
Solution: A critic
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 the point (x, y) = (1, 1).
Solution: The value of the s
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&i$cfw_gu@g|Uucfw_f"gsgUi|v"iB4qcfw_gcfw_9qigfcfw_q`
f h o x y x
0
U
v
i g g c i g t e g g
pupfmp$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~ pwfbmffbmb4h@ UqqhUs
T g ` ` q v i q ic c g a g v y X t ~ t a c
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 head loss in this ow is measured to be hL = 0.0444m. A
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. Address the following questions related to
the rotation o
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 and pressure P1 . The ow meets a smoothly and
gradually
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#VjfVfo4xpfy!x@V 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 q q q l a q q w e r T s w Y
vvbVjdVVpvdxf@2dpdfxfPf!v~x