HW#4: Bernoulli
Distributed: 2/7/2014
Due: 2/12/2014
1. Water ﬂows without friction vertically downward through a pipe and enters a section where
the cross sectional area is larger. The velocity proﬁle is uniform at sections 1 and 2. The
correct statement
kfrui +9“;-
J_‘_._~_‘_—.
038 = ‘9 i 411;" gig-‘12,)
?.
- x i, «1:2 P!) =” g
- an mygg; ‘ = '- .
vsv mm. =v W5"
2 v1 j”,_f_‘+
' 1 Fl 0 2 b 6.‘ ‘3’ An incompressible viscous ﬂuid is placed
= between two large paraﬁcl ‘piatcs m shOWﬁ in Fig. 1
TM.
Quiz #5: pipe flow
3/21/2014
I. For a very rough pipe wall, the friction factor is constant at high Reynolds numbers. The
pressure drop over the length of the pipe is A p;. If the diameter of the pipe is halved, what is
the relationship between the new pr
BE350 Midterm 2, 4/4/2014 Name:
Question 1. [10 pts: 2 pts each + 2 for getting all 4 right) The four devices shown below rest on
frictionless wheels, are restricted to move in the x direction only, and are initially held stationary.
The pressure at the i
HW#2: fluid fundamentals (part 2) & fluid statics (part 1)
1/24/2014
1. For a parallel plate arrangement of the type shown below in the diagram, it is found that
when the distance between plates is 2 mm. a shearing stress of 150 Pa develops at the upper
p
HW#2: fluid fundamentals (part 2) & fluid statics (part 1)
1/24/2014
1. For a parallel plate arrangement of the type shown below in the diagram, it is found that
when the distance between plates is 2 mm. a shearing stress of 150 Pa develops at the upper
p
HW#1: fluid fundamentals - part 1
1/17/2014
1. A ﬂuid is deﬁned as a substance that deforms continuously under the action of ( ) stress
of any magnitude.
Shear (other acceptable answers: shearing, tangential)
2. Sand and other granular materials such as s
HW#6, BE350, Spring 2014: Chapter 6, due 3/5/2014
Question #1 (6.88):!
Two fixed horizontal parallel plates are separates by a distance h. A fluid with viscosity
flows between the plates with a mean velocity V. The flow is laminar. Determine the
pressure
Homework for diffusion, BE350, 4/12/2013
1. Lets say you photobleach (in 1D) a region between -L to L. What are the boundary conditions
for fluorescence recovery after photobleaching at -L, L? Sketch what the fluorescence in this
region will look like ove
HW#6, BE350, Spring 2014: Energy and beginning of chapter 6, due 2/26/2014
Question #1 (5.115):!
The hydroelectric turbine at the right passes is at the
bottom of a lake of height H (50m). The exit velocity is
V2 (6 m/s) through an pipe of diameter D (1m)
HW#2: fluid
f
fundam
mentals (part 2) & fluid
d statics (paart 1)
1/24/2014
1. For a parallel plaate arrangement of the ty
ype shown beelow in the ddiagram, it iss found that
when
n the distancee between pllates is 2 mm
m, a shearingg stress of 1550 Pa de
HW#8: Pipe
P
flow
Distributted: 3/14/201
14
Due: 3/20
0/2014
1. For a steady unifo
form flow off an incompreessible liquiid that enterss a pipe, whiich of the
follw
wing is true fo
or the entran
nce region.
(a) The
T average velocity
v
is a function of di
HW#1: fluid fundamentals - part 1
1/17/2014
1. A fluid is defined as a substance that deforms continuously under the action of (
of any magnitude.
) stress
2. Sand and other granular materials such as sugar definitely flow. That is, you can pour them
from
Last quiz. BE350, 4124:9014 Name:
Question 1:
A vertical concentric annulus, with outer
radius 1'0 and inner radius 13-, is lowered into
ﬂuid of surface tension 0 and contact angle
6. Derive an expression for the capillary rise
11 in the annular gap. Assu
HW ﬁt? Solull'lsm
Question #1 (6.88):
Two ﬁxed horizontal parallel plates ate separates by a distance h. A fluid with viscosity
p flows between the plates with a mean velocity V. The flow is taminar. Determine the
pressure drop per unit length in the di
HW#8: Pipe ﬂow
Distributed: 3/14/2014
Due: 3/20/2014
1. For a steady uniform ﬂow of an incompressible liquid that enters a pipe, which of the
follwing is true for the entrance region.
(a) The average velocity is a function of distance from the entrance.
h
Under the right conditions, it is possible to have metal objects ﬂoat on water due to surface
tension. Consider placing a needle with diameter D, length L, and speciﬁc weight )2 on the
surface of water with surface tension 0'. What is the maximum diameter
BE350 Quiz. 3l7/2014 Name:
Question 1: Consider the viscous flow between two plates
depicted below, with the top plate moving right and the
bottom plate moving left, both with speed U. If in is
greater than p2, then:
a) Which direction will the interface
HW#3: ﬂuid statics (part 2)
Distributed: 1/31/2014
Due: 2/5/20] 4
1. In the diagram on the right, pressure gage A reads
1.5 kPa (gage pressure). The fluids are at 20 °C.
Determine the elevation z (in m) of the liquid levels
in the open piezometer tubes B
_l-I.———_—— _-
HW#3: fluid statics (part 2)
Distributed: 1/31/2014
Due: 2/5/2014
1. In the diagram on the right, pressure gage A reads
1.5 kPa (gage pressure). The ﬂuids are at 20 °C.
Determine the elevation z (in rn) of the liquid levels
in the open piez
Quiz #1: ﬂuid fundamentals and fluid statics (part 1)
1/31/2014
1. When a ﬂuid is said to "deform continuously under the action ofa shearing stress" this means
that:
the ﬂuid changes shape as long as the shearing stress is applied.
(b) the ﬂuid will retur
Quiz #2: fluid statics (part 2)
2/7/2014
1. Two tanks A and B are ﬁlled with air at (E
different pressures. Water-ﬁlled '\
manometers that are open to the — - - - - - - - 2»
atmosphere are connected to each tank, - - - — - - - — — — — _ 1-
and the water l
Sole
_——-—_
HW#5, BE350, Spring 2014: Material Derivative and Reynold’s transport, due 2/19/2014
Stagnation point, 5 = 0
Question #1 (4.35):
A fluid particle depicted to the right flows along
a stagnation streamline towards the stagnation
point. The parti
HW#4: Bernoulli
B
Distributted: 2/7/2014
4
Due: 2/12
2/2014
1. Water flows with
hout friction vertically do
ownward thrrough a pipe and enters a section whhere
the crross sectionaal area is larg
ger. The vellocity profilee is uniform at sections 1 and 2.
HW#2: fluid
f
fundam
mentals (part 2) & fluid
d statics (paart 1)
1/24/2014
1. For a parallel plaate arrangement of the ty
ype shown beelow in the ddiagram, it iss found that
when
n the distancee between pllates is 2 mm
m, a shearingg stress of 1550 Pa de
Homework 1 for Heat Transfer
Question 1: A hot water pipe with outside radius r1 has a temperature T1 . A thick
insulation applied to reduce the heat loss has an outer radius r2 and temperature
T2 . On T , r coordinates, sketch the temperature distributio