INGENIERA
FLUIDOMECNICA
We want to estimate the driving power W necessary to move at a peak velocity V = 10 m/s a
marine freighter of length l = 100 m and total mass at fullload m = 1000 Tm. For that purpose, a
small model of length le = 1 m, geometricall

INTRODUCTION TO FLUID MECHANICS
Dec 18, 2012
PROBLEM 3 (50 minutes)
The system sketched in the figure is designed to steadily pump fluid of constant density and
constant viscosity from a reservoir, where the modified pressure has a constant value P0 , to

INGENIERA FLUIDOMECNICA
We want to investigate the performance of a wind turbine of given geometrical shape and
diameter D rotating with angular velocity n subject to a wind stream of velocity U. Assume in the
development that the velocity is sufficiently

MAE101A - Homework 4
Reading & study assignment
Read and study section 6.6.3 "Flow around a circular cylinder" of Munson, Young & Okiishi 8th ed.
Problem 1 (Problem 6.42 of Munson, Young & Okiishi - 8th ed.)
Problem 2 (Problem 6.43 of Munson, Young & Okii

INGENIERA FLUIDOMECNICA
Chemical and hydraulic engineers are often interested in computing the settling velocity of a
suspension of particulates in a given liquido For dilute suspensions, a variable that is directly related
with this settling velocity is

INGENIERA FLUIDO MECNICA
A large container of diameter D = 10 m contains a volume V = 1000 m3 of tar (Vt = 10-3 m2/s,
Pt = 2 x 103 kg/m3). To avoid solidification, the tar is continuously moved with a 3-blade stirrer of
height h = 1 m placed at its bottom

MAE101A - Homework 3
Problem 1
A velocity field ~
v = (vx , v y , vz ) of a flow is given by
vx = 4Acos(t)x,
v y = 2Acos(t) y,
vz = 4Acos(t)z,
where A is a constant.
(i) Compute the streamlines. Sketch the streamlines at t = 0, and at t = /. Compute the
s

MAE101 - Homework 2
Note: g = 9.81 m/s2 , pa = 1 atm = 101325 Pa, water = 1000 kg/m3
o
D1 = 27
D2 = 13
pProblem
1 = 194 1
50 cm
C
50 cm
V2 , p2 = pa
2
B
1
V1, p1
Through the elbow of the figure circulates a flow rate Q = 10000 l/min of water. The inlet
an

MAE101 - Homework 1
Note: g = 9.81 m/s2 , pa = 1 atm = 101325 Pa.
Problem 1
Air is trapped in the container of the figure above a layer of oil that on its turn floats on
top of a layer of water. A piezometric tube connected to the container indicates a he

Ch 12 eqn sheet pg. 1
CHAPTER 12
One dimensional compressible flow:
Isentropic flow:
For an ideal gas:
Ch 12 eqn sheet pg. 2
Isentropic flow in a converging nozzle:
Isentropic flow in a converging-diverging nozzle:
Flow in a constant-area duct with fricti

Ch 11 eqn sheet pg. 1
CHAPTER 11
Ideal gasses:
(11.1)
p = RT
h = u + RT
(pg 591)
cp cv = R
k = cp / cv (11.5)
cp = kR / (k 1)
(11.6a)
cv = R / (k 1)
Ru = universal gas constant, Mm = molecular mass of gas, R = Ru / Mm
u2
T2
u1
T1
h2
T2
h1
T1
u 2 u1 = du =

Ch 8 eqn. sheet pg. 1
CHAPTER 8
Basic internal flow equations:
u
yx =
(2.10)
y
Q = U dA
A
V =
Q
a
Fully developed laminar flow between infinite parallel plates, both plates stationary:
u=
2
a 2 p y
y
2 x a a
u=
2
h 2 p 2 y
1
if y = 0 at centerline

Ch 9 eqn. sheet pg. 1
CHAPTER 9
Boundary Layer:
Ux
Re x =
For thin BL: Aeffective = (h 2 *)
Re transition = 500,000
2
u
u
displacement thickness = * = 1 dy 1 dy
U
U
0
0
(9.1)
u u
u u
momentum thickness = = 1 dy 1 dy
U U
U U
0
0
(9.2)
Flat plate flow with

MAE 101B Summer Session II 2006
Homework Assignment #2
Due Friday August 18
1. The typical shape of small cumulous clouds is as indicated in the figure below (top of
cloud further left than bottom of cloud). Based on boundary layer ideas, explain why
it i

Homework Assignment Requirements
Homework assignments have the following requirements. Any homework not following these
requirements will be returned ungraded.
1. All homework must be done neatly on 8 12 11 paper (single-sided on clean, new paper,
stapled

2. (20 points) A paramagnetic system is in a unifonn magnetic field H. The induced magnetization is
described by Curie's law, M = aHjT, where a is a positive constant. For such magnetic systems,
the fundamental equation (in differential fonn) can be wri

Ocean Dynamics (2011) 61:563568
DOI 10.1007/s10236-010-0359-2
Wave radiation stress
George Mellor
Received: 18 June 2010 / Accepted: 28 October 2010 / Published online: 16 November 2010
# Springer-Verlag 2010
Abstract There are differences in the literatu

IMPLEMENTATION OF WAVE EFFECTS INTO ECOMSED:
DOCUMENTATION AND TEST CASE SIMULATIONS
James K. Lewis
Scientific Solutions, Inc.
PO Box 1029
Kalaheo, HI 96741
1. INTRODUCTION
One of the goals of the Northern Gulf of Mexico Littoral Initiative (NGLI) is the

MAE210b, Assignment 2
Problem 2
Find velocity profile for viscous steady-state fully-developed flow in a tube that has an elliptical crosssection. Denote the ellipses axes in the x and y directions by a and b, respectively.
Solution.
The only non-zero vel

MAE210a, Assignment 2
Problem 1
A rectangular tank is placed on wheels and is given a constant horizontal acceleration a. Find the
angle made by the free surface with the horizontal at steady state.
Problem 2
A jet of water with diameter of 8 cm and a spe

MAE210a, Assignment 1
Problem 1
If a velocity field is given by u = ay, compute the circulation around a circle of radius r = 1 about
the origin. Check the results using Stokes theorem.
Problem 2
Consider a plane steady-state Couette flow with the velocit

4.
Inviscid, irrotational flows
4.1. Two-dimensional flows; the velocity potential
As before, in 2D have
u = u(x, y, t), v(x, y, t), 0 ,
= (0, 0, ) .
If irrotational,
=
v u
=0,
x y
so we can take
u=
,
x
v=
,
y
i.e. u =
where is the velocity potential.
[

CHEM 268, Fall 2009
Solid State and Materials Chemistry
Text book:
Basic Solid State Chemistry (second edition, Wiley) by Anthony R. West
Supplementary readings:.
Special topic materials to be provided by instructor
Instructor: Yat Li PSB 160, 9-1952, yli

Problem 1.
Consider the development from rest of plane Couette flow. The flow is bounded
by two rigid boundaries at y = 0 and y = h, and the motion is started from rest by suddenly
accelerating the lower plate to a steady velocity U. The upper plate is he

CE 561 Fall 2016
Homework Assignment 4
Please submit your solu/on on UBLearns by 2:00 PM 9/30/16
1. The solu/on to Problem 2 from Homework Assignment 3 indicates reasonable
uncertain/es for the ve rate coecients obtained by Kng the mechanis/c rate model

MAE210b, Solution for Midterm 1
Problem 1 (30 points)
Consider viscous flow past a sphere of radius a. Find a pressure distribution on the spheres surface. Use
the solution for fluid velocity we obtained in class as a starting point.
Solution. See my clas

MAE210a, Solutions for Assignment 0
Problem 1
Let d = b c. Then the m-th component of vector a b c is
(a b c)m = (a d)m = pqm ap dq .
Since the q-th component of the vector d is dq = (b c)q = ijq bi cj , we have
(a b c)m = pqm ap ijq bi cj = ijq pqm ap bi