Winter 2007
BIEN 301
116093737
Page 1 of 5
BIEN 301
Winter 2006-2007
Exam 1
Part 1 of 2
(40 points, 51 possible points, approximately 30 minutes)
1.
2.
3.
4.
5.
6.
7.
8.
9.
Instructions:
The work must be your own original work, no outside help or collaboration
permitted.
The honor code statement must be signed on each one of these sheets by writing
your name and date in the appropriate location.
As much as possible, list references for where you obtain information. Equations,
facts, tables, conversion factors, etc. Quality points will be considered for wellreferenced, neatly worked exams when trying to decide borderline grades.
All the other exam stipulations as listed in lecture apply: List out your
assumptions, sketch the problem, state specifically what you are seeking to
find/solve. Show your work. Follow the instructions for each individual question.
The “Relevance to Biomedical Engineering statement” requirement, as well as the
“Full Problem Restatement” requirement are not expected for the work here.
For actual problems to be worked out, the confidence check may be used. The
confidence check is OPTIONAL. If you are CERTAIN your work is 100%
CORRECT, you can mark the confidence check line with a “YES”. If you are
indeed correct, you will receive bonus points on that question. If you marked
“YES” and are incorrect, you will get the partial credit due to you, MINUS the
listed points. NOT marking the box will not benefit or penalize you. It is purely
your choice.
Extra credit is exactly that, extra credit. Working a problem and getting it wrong
will not hurt you, you can only gain points. However, Confidence Check (item 7,
above) rules WILL apply.
Total points you will be graded on for both parts 1 and 2: 100. Total POSSIBLE
points: 129 points. Plenty of extra credit/confidence checks opportunities.
When you complete part 1, make sure your name and date are on each sheet, and
turn it in to obtain Part 2.
Student Name:
Date:
Honor Code Statement: “Being a student of a higher standard, I pledge
to embody the principles of academic integrity.”
Winter 2007
BIEN 301
116093737
Page 2 of 5
Question 1 (6 points): a) Define a fluid and b) list the primary assumptions associated
with any problem involving fluids.
Question 2 (3 points): Explain the difference between “Dimensions” and “Units”.
Question 3 (4 points): List the primary dimensions/units system to be utilized in this
textbook. Explain why science now chooses to use this system over other popular choices.
Question 4: (3 points): Explain the term “specific gravity”, and how you would use this
term when dealing with a) liquids and b) gases.
Student Name:
Date:
Honor Code Statement: “Being a student of a higher standard, I pledge
to embody the principles of academic integrity.”
Winter 2007
BIEN 301
116093737
Page 3 of 5
Question 5: (4 points): a) Define viscosity, b) describe the thermodynamic variable
which tends to have the highest or most significant effect on viscosity, and c) describe an
example of this phenomenon.
Question 6 (4 points): The Reynolds Number is a _______________________
number that gives a quantitative relationship between __________________ and
____________________.
Question 7 (4 points): Sketch the b) streamlines, c) path lines, and d) streak lines for
the timeline (a) shown below in the viscous, compressible, gaseous fluid (air) shown
below in steady-state flow conditions at T = 150ºC for the time t=0 to t=10 seconds.
Question 7a Confidence Check (+ or – 1 points):______
Student Name:
Date:
Honor Code Statement: “Being a student of a higher standard, I pledge
to embody the principles of academic integrity.”
Winter 2007
BIEN 301
116093737
Page 4 of 5
Question 8 (4 points):

Given: An arbitrary 3-dimensional pressure field, P  x, y , z 

Find a) A partial differential expression for the gradient, P.
Question 8a Confidence Check (+ or –1 points):______
b) Describe where we use this calculation in fluid mechanics.
Question 9 (4 points):

Given: An arbitrary 3-dimensional velocity field, V  x, y , z 

Find a) A partial differential expression for the divergence,  2V .
Question 9a Confidence Check (+ or – 1 points):______
b) Describe where we use this calculation in fluid mechanics.
Question 10 (4 points): Describe the Archimedes Principle for buoyancy.
Student Name:
Date:
Honor Code Statement: “Being a student of a higher standard, I pledge
to embody the principles of academic integrity.”
Winter 2007
BIEN 301
116093737
Page 5 of 5
Extra Credit (8 points): a) List at least 3 different categories for pressure
measurement devices (there are 5 types listed in your textbook). b) For each of these
categories listed, describe at least 1 measurement device:
Student Name:
Date:
Honor Code Statement: “Being a student of a higher standard, I pledge
to embody the principles of academic integrity.”