ID:Quiz:No.4Time:15minutes
Name:Course:58:160,Fall2009
A snowplow mounted on a truck clears a path 3 m through heavy wet snow, as shown in figure. The snow
is 15 cm deep and its density is 160 kg/m3. The truck travels at 15 km/hr (4.17 m/s). The snow is
\)
? J(f ,_,r D, ,tL)a"
,
)
?,\rur'l
q   l t " ' ]
ro':cfw_
f : I r o r ' . 7 \ D= l L ' 1
:=)
Jt3
K \ = e ;i for o' e
Q
rr.,. lrto'
=7

,
_1r
\
fl,r \ rt t I
L
f\
, l
<)\
l
h
T
I
'.1
I
T
L
L
I
n'1 =\
o' =  ]
l*\
c:!
dt 1
t o
:)
ID:Midterm1Time:50minutes
Name:Course:58:160,Fall2009
1.
Water flows steadily downward in the pipe shown in figure with negligible losses. Determine the flow
rate. (water=1000kg/m3)
2.
Water flows at a rate of 0.001m3/s through a flanged faucet with a pa
6) ConsidersteadyflowatvelocityU(aty= )pastaninfiniteplane(y=0)asshowninthefigure.Let
the plate be porous and has constant suction v = v0 . Assume that pressure is constant and
v = v0 everywhere in the flow and u=u(y) only. a) By using continuity equatio
Final Exam
Course: 58:160, Fall 2006
Name:
Time: 120 min
Fluid I.D. :
Solutions:
1)
w = u 2 122 = 998u 2 u = 0.35m / s
1 Ru *
1
998 * 0.045 * 0.35
a) VC = u * ln
+ B = 0.35
+ 5 = 10m / s
0.41 ln
0.001
Ru *
b) V = u * 2.44 ln
+ 1.34 = 8.7
1)
Total (15)
Table A5 : at 35oC the vapor pressure of water is approximately 5800 Pa. (1)
Table A1 : at 35oC the density of water is 994 kg/m3 or approximately 998 kg/m3
Bernoulli from the surface to point 3 gives:
(4)
(1)
Vs2
P V2
+ z s = 3 + 3 + z3
EXAM #1 58:160
1. Consider an experiment in which the drag on a twodimensional body
immersed in a steady incompressible flow can be determined from
measurement of the velocity distributions far upstream and downstream of
the body (figure below). Velocity
58:160 Intermediate Mechanics of Fluids
FINAL EXAM 12/ 15/ 04
1. The jet pump in the figure injects water at U1= 40 m/s through a 3inpipe and
entrains a secondary flow of water U2= 3 m/s in the annular region around the
small pipe. The outer pipe diamet
FluidID:
1stMidtermExam
Name:Course:58:160,Fall2008
Time:50minutes
1. A river of width b and depth h1 passes over a submerged obstacle, or drowned weir, as
shown, emerging at a new flow condition (V2, h2). Neglect atmospheric pressure, and
assume that th
Name:
2nd MidTerm Exam
Time: 50 min
Course: 58:160, Fall 2006
Fluid I.D. :
Problem 1 is required and you need to select either problem 2 or 3.
1. (50 points) A prototype water pump has an impeller diameter of 2 ft and is designed to pump
8ft3/s at 600
2nd MidTerm Exam
Course: 58:160, Fall 2007
Name:
Time: 50 min
I.D. :
1) A belt moves upward at velocity V, dragging a film of viscous liquid of thickness h,
as shown in the figure. Near the belt, the film moves upward due to noslip. At its
outer edge,
FluidID:2ndMidtermExamTime:50minutes
Name:Course:58:160,Fall2008
1. Some aeronautical engineers are designing an airplane and wish to predict the lift produced by their new
wing design. The chord length Lc of the wing is 1.12 m. The prototype is to fly a
1) A belt moves upward at velocity V, dragging a lm of viscous liquid of thickness h,
as shown in the gure. Near the belt, the lm moves upward due to noslip. At its
outer edge, the lm moves downward due to gravity. Assuming that the only nonzero
velocity
1)
Keroseqe 20oCflows tSough the
at
in Fie. F3.146 at 2.3 ffls. Head
Fcfw_trrp
lossesbetweenI and 2 are I ft, and the
pcfw_mp delivers I hp to the flow. What
reading/l ft
shonldthe mercurymanometer
be?
zo Points
$oluffon: Firstestablish two velocities:
t
058:0160
Professor Fred Stern
Chapter 2
1
Fall 2014
Chapter 2: Pressure Distribution in a Fluid
Pressure and pressure gradient
In fluid statics, as well as in fluid
dynamics, the forces acting on a
portion of fluid (CV) bounded by a
CS are of two kinds: b
058:0160
Professor Fred Stern
Fall 2014
Chapter 1
1
058:160
Intermediate Mechanics of Fluids
Class Notes
Fall 2013
Prepared by:
Professor Fred Stern
Typed by:
Derek Schnabel (Fall 2004)
Nobuaki Sakamoto (Fall 2006)
Hamid SadatHosseini (Fall 2006)
Maysam
058:0160
Professor Fred Stern
Fall 2014
Chapter 7
1
Chapter 7: Boundary Layer Theory
7.1. Introduction:
Boundary layer flows: External flows around streamlined bodies at
high Re have viscous (shear and noslip) effects confined close to
the body surfaces
Absolute inertial, relative inertial and noninertial coordinates for
a moving but nondeforming control volume
Tao Xing1, Pablo Carrica, and Fred Stern
Objective
Derive and correlate the governing equations of motion in integral and
differential forms in
Curvilinear Coordinates
Outline:
1. Orthogonal curvilinear coordinate systems
2. Differential operators in orthogonal curvilinear coordinate systems
3. Derivatives of the unit vectors in orthogonal curvilinear coordinate systems
4. Incompressible NS equa
58:160 Intermediate Mechanics of Fluids
Professor Fred Stern Typed by Stephanie Schrader Fall 2014
Chapter 5
1
Chapter 5 Dimensional Analysis and Modeling
The Need for Dimensional Analysis
Dimensional analysis is a process of formulating fluid
mechanics p
058:0160
Professor Fred Stern
Chapter 6 part2
1
Fall 2014
Chapter 6: Viscous Flow in Ducts
6.2 Stability and Transition
Stability: can a physical state withstand a disturbance and
still return to its original state.
In fluid mechanics, there are two prob
058:0160
Professor Fred Stern
Fall 2014
Chapter 6part4
1
Chapter 6: Viscous Flow in Ducts
6.4 Turbulent Flow in Pipes and Channels using meanvelocity correlations
1. Smooth circular pipe
Recall laminar flow exact solution
8 w
uave d
f = 2 = 64 / Re d
Re
58:160 Intermediate Fluid Mechanics
Professor Fred Stern Fall 2014
Bluff Body
1
Chapter 7 Bluff Body
Fluid flows are broadly categorized:
1. Internal flows such as ducts/pipes, turbomachinery, open
channel/river, which are bounded by walls or fluid interf
058:0160
Professor Fred Stern
Fall 2014
Chapter 6part3
1
Chapter 6: Viscous Flow in Ducts
6.3 Turbulent Flow
Most flows in engineering are turbulent: flows over
vehicles (airplane, ship, train, car), internal flows (heating
and ventilation, turbomachine
Summary of Reynolds Stresses and TKE Levels for Different Flows
Geometry
k U max
Wall y+<50
0.089
BL (0.1<y/<0.7)
BL (y/>0.7)
BL (flat plate,
y/<0.8, Rex=107 )
Wake
Jet
Plane mixing layer
Separated turbulent
boundary layer
Backwardfacing step
NACA0024
(R
058:0160
Professor Fred Stern
Chapter 8
1
Fall 2014
Chapter 8: Inviscid Incompressible Flow: a Useful Fantasy
8.1 Introduction
For high Re external flow about streamlined bodies viscous effects are confined to
boundary layer and wake region. For regions w