AME 538
Examination 2
Prof. J. M. Powers
6 December 2002
1. (20) A uniform stream with velocity U in the x direction combines with a source
of strength m at (a, 0) and a sink of strength m at (a, 0). Plot the resulting
streamlines, note any stagnation poi

AME 538
Examination 2: Solution
Prof. J. M. Powers
6 December 2002
1. (20) A uniform stream with velocity U in the x direction combines with a source
of strength m at (a, 0) and a sink of strength m at (a, 0). Plot the resulting
streamlines, note any stag

Technical Review
Pat Q. Student
AME 538
8 November 2000
In their recent article, Dahm, et al.1 describe a novel and ecient method for. The physical
problem of interest is . The problem has application in the elds of. A key model equation in
this study is

AME 538
Examination 1
Prof. J. M. Powers
11 October 2002
1. (20) Using Cartesian index notation, show the following identity is true:
(v
vv
2
)v =
v(
v).
2. (30) In a Cartesian coordinate system, a ow has the following velocity components:
v2 = x2 ,
1
v

Technical Review
Pat Q. Student
AME 538
8 November 2000
In their recent article, Dahm, et al.1 describe a novel and ecient method for. The physical
problem of interest is . The problem has application in the elds of. A key model equation in
this study is

Technical Review
Pat Q. Student
AME 538
20 September 2002
In their recent article, Dahm, et al.1 describe a novel and ecient method for. The physical
problem of interest is . The problem has application in the elds of. A key model equation in
this study i

AME 538/ME 438
Homework
Prof. J. M. Powers
Due: October 11, 1994
Fluid Kinematics
1. Consider the ow eld v1 = x2 , v2 = x1 .
a) Find a closed-form analytic expression for the equation of a general pathline of a
uid particle of the form x1 = x1 (t), x2 = x

AME 538, ME 438
Test 2
Prof. J. M. Powers
November 22, 1994
1. (20) Glycerin, = 1260 kg/m3 , = 1.49 (N s)/m3 , is owing under the inuence
of gravity, g = 9.81 m/s2 , down a very long plane inclined at an angle = /6 to the
horizontal at the rate of m = 10

AME 538, ME 438
Test 2
Prof. J. M. Powers
November 23, 1993
1. (25) Consider the centered Prandtl-Meyer rarefaction induced by a piston suddenly
accelerated from 0 m/s to 500 m/s. The ambient uid is air at To = 300 K , Po = 105
P a, uo = 0 m/s. Take R = 2

NAME:
AME 538/ME 438
Examination 1
Prof. J. M. Powers
October 4, 1994
Index Notation (20)
1. Using Cartesian index notation, show the following identity is true:
(A B) = B (
A) A (
B)
2. Kinematics (20)
2. In a Cartesian coordinate system, a steady ow

NAME:
AME 538
Examination 1
Prof. Powers
October 7, 1993
Index Notation (15)
1. Using Cartesian index notation, show the following identity is true:
(
a) =
(
a)
2
a
Fluid Kinematics/Stress Tensor (70)
2. In a Cartesian coordinate system, a steady ow ha

NAME:
AME 538
Examination 1
Prof. Powers
October 12, 1992
Fluid Kinematics (50)
1. In a Cartesian coordinate system, a steady ow has the following velocity components:
v1 = x1 + x2 ,
2
v2 = x2 x2 ,
1
v3 = 0.
Consider the point P: (1,2,0)
a) What is the ro