V olum e 9, N um ber 4
O ctober 2004 D ecem ber 2004
Olympiad Corner
The Czech-Slovak-Polish Match this
year took place in Bilovec on June
21-22, 2004.Here are the problems.
Problem 1. Show that real numbers p, q,
r satisfy the condition
p4(q r)2 + 2p2(q
Chapter 6: Viscous Flow in Ducts
6.1 Reynolds Number Regimes 6.2 Internal vs External Fluid Flows 6.3 Head Loss The Friction Factor 6.4 Laminar Fully Developed Pipe Flow 6.5 Turbulence Modeling 6.6 Turbulent Pipe Flow 6.7 Four Types of Pipe Flow 6.8 Flow
MAE 143 A: Signals and Systems. Homework #2.
Assigned Jan 13. Due Jan 20.
1. The circuit in the left-hand graph of Figure 1 is modeled by means of the following equations: LC d V (t) + CR dV (t) + V (t) = U (t), dt dt i(t) = C dV (t) . dt Here, L, C and R
MAE 101A ~ WELCOME
"Now I think hydrodynamics is to be the root of all physical science, as it at present second to none in the beauty of its mathematics." ~ Lord Kelvin (1857)
"Although fluid mechanics is a challenging and complex field of study, it is b
SPIN
Curve Balls
The fact that tennis balls curve because of the spin imparted on them was noted as early as 1671 by Sir Isaac Newton. In 1877 Lord Rayleigh in a paper also describing the irregular flight of a tennis ball, credited G. Magnus with the firs
Knox Millsaps, Ph.D. ([email protected]) Professor and Chairman Mechanical and Astronautical Engineering Naval Postgraduate School DoD Executive Agent for SMART www.asee.org/SMART
Overview of SMART
SMART is a civilian scholarship for service program offer
"As a student from a smaller university, I appreciate the access to
Olukayode Okusaga 2006 SMART Scholarship recipient, Ph.D. program in Electrical Engineering with a focus on photonics at the University of Maryland-Baltimore County.
opportunities that th
"drag" reduction in pipe flow
For a given Re, is there anyway to have a friction factor less than that for a smooth pipe?
Pierre Du Buat (1734 1809) believed that fluid in contact with surface invariably formed a stagnant layer over which the rest glided
ONR invites Undergraduate and Graduate Students to:
The Naval Research Enterprise Intern Program (NREIP)
Administered by The American Society for Engineering Education (ASEE)
Program Information Ten week summer research opportunities at a Naval Researc
(10) Problem 9.79 from White Remember that there is a subsonic and supersonic solution to Eq 9.45 (look at figure 9.7) so you needed to reason that you were interested in the supersonic solution (because had to be supersonic before shock).
-(11) Problem 9
Chapter 7: LIFT (1) Problem 7.115 from White (take of air at 10 km to be = 0.4125 kg/m3) (2) Problem 7.120 from White (hint: maximum lift-to-drag ratio occurs when d/dCL [L/D] = 0 Chapter 9: (3a) Show that the ratio of dynamic pressure (1/2 V2) to static
Problems from White #1 = P7.3 Hint: this should look familiar #2 = P7.5 Note: in an accelerating flow, i.e. a favorable pressure gradient, the boundary layer will be thinner (and more likely to be laminar hence with a nice bell mouthed inlet to a pipe, th
MAE 101B Summer Session II 2009 Homework Assignment #2 Due Friday August 18
1. Ignoring frictional losses and assuming steady flow (tank is very large) and parallel streamlines at the exit, what happens to the exit velocity and volume flow rate when you a
The Hydrodynamic Secret of the Dolphin
G. I. Svyator 1969
Scientists Discover Secret of Dolphin Speed Ocean Research, 2004
Power = Drag x Velocity
Velocity = 33 ft/sec (10 m/s*; Re = UL/ = 1.8x107) Drag = CD U2 A Area = 15 ft2 (6-ft long, 200 lbs, 35 lbs
FLOW IN A CONSTANT-AREA DUCT WITH HEAT EXCHANGE
(Combustion Chambers, Heat Exchangers)
Frictionless Flow in a Constant Area Duct with Heat Exchange
Q/dm
h1, s1 ,
Rx= 0
h2, s2 ,
Quasi-one-dimensional flow affected by: area change, friction, heat transfer,
CHAPTER 7: FLOW PAST IMMERSED BODIES
*(unbounded flows)
Ch 7: FLOW PAST IMMERSED BODIES
(CAN'T HAVE FULLY DEVELOPED FLOW)
FLAT PLATE
What is wrong with this picture?
Ch 7: FLOW PAST IMMERSED BODIES
(CAN'T HAVE FULLY DEVELOPED FLOW)
BLUNT OBJECT
Paradoxes
Chapter 6: Viscous Flow in Ducts
6.1 Reynolds Number Regimes 6.2 Internal vs External Fluid Flows 6.3 Head Loss The Friction Factor 6.4 Laminar Fully Developed Pipe Flow 6.5 Turbulence Modeling 6.6 Turbulent Pipe Flow 6.7 Four Types of Pipe Flow 6.8 Flow
Home Work: due Aug. 10th at the beginning of class no late HW accepted 1 (a) What is the likelihood that a flow with of water in an industrial quality pipe of diameter 0.010 m to be laminar or turbulent, when the average velocity is 1 m/s and the kinemati
(1 5 pts) The terminal speed of a parachute whose diameter is 6.9m is found to be to be 6 m/s. The total mass of the chute and jumper is 120 kg. The density of the air is 1.23 kg/m3. What is the CD of the parachute? Sum of vertical forces = 0 so: CD U2A =
FD = CD U2A
mg = 120 kg U = 6 m/s
Sum of forces = 0, pick A so U = 6 m/s CD U2A = mg
Fox Re 103 1.42
Re 104
CD = 1.42 for open hemisphere FD = CD U2A = W = mg A = d2/4 d2 = [mg]/[CD U2 /8]
d = [(8/)(120kg)(9.8 (1/1.42)(1/1.23 kg/m3)(1/6m/s)2]1/2 m/s2) FD
Roman aqueduct customers received water continuously (no shut off valve). To get more water, they often put a nozzle at the exit.
(0)
(2) (1)
Roman aqueduct customers received water continuously (no shut off valve). To get more water, they often put a noz
CH.9: COMPRESSIBLE FLOW
It required an unhesitating boldness to undertake such a venture . an almost exuberant enthusiasm.but most of all a completely unprejudiced imagination in departing so drastically from the known way.
J. Van Lonkhuyzen, 1951, discus
Chapter 9: Compressible Flow
9.1 9.2 9.3 9.4 9.5 9.6 .
Introduction: Review of Thermodynamics The Speed of Sound Adiabatic and Isentropic Steady Flow Isentropic Flow with Area Changes The Normal Shock Wave Operation of a Converging and Diverging Nozzles
s