Name: _ BioE 104 Homework 1 Due Friday 1/28/11 at 11AM Please attach this problem statement to your completed homework 1. (_ out of 4 points) Our random walk analysis in class indicated that, for a number of particles all starting at x = 0 at t = 0, the m

Name: _
BioE 104 Homework 1
Please attach this problem statement to your completed homework
1. (_ out of 4 points) Our random walk analysis in class indicated
that, for a number of particles all starting at x = 0 at t = 0, the meansquare displacement <x2>

Name: _
BioE 104 Homework 7
Please attach this problem statement to your completed homework
1. (_ out of 3 points) Transport Phenomena in Biological Systems
Problem 2.15.
2. (_ out of 5 points) Transport Phenomena in Biological Systems
Problem 2.10. List

!"#$%&'$()*%&#+'!',-'./0'!$(123'4/./' '
1. (_ of 15 points) Steady-state convection and diffusion through a flat membrane. A porous membrane has been designed as part of an industrial process. The membrane is 5 cm thick with an area of 100 cm2, and is des

Name: _
BioE 104 Homework 1
Due at the beginning of class, 11:10AM, Friday 2/1/2013
Please attach this problem statement to your completed homework
1. (_ out of 3 points) Our random walk analysis in class indicated
that, for a number of particles all star

Problem 1
!
Given:
Dij = 2.0*10-6 cm2/s
L = 3 mm = 0.3 cm
t = 12 hours = 43200 s
,
First, calculate = Dijt/L2 = (2.0*10-6 cm2/s) (43200s)/(0.3cm)2 = 0.96
Unfortunately this value is not shown

2.15. For fluid 1, since the resulting velocity is linearly related to the original velocity, the fluid
is Newtonian.
For fluid 2, there is no linear or power dependence between the velocities suggesting that the
fluid is a Bingham plastic. Applying Equat

FORMULAS AND TABLES
Orthogonality Formulas
For all m, n = 1, 2, . . . ,
L
cos
nx
dx = 0;
L
sin
nx
dx = 0;
L
sin
nx
mx
cos
dx = 0;
L
L
sin
nx
mx
sin
dx =
L
L
0,
cos
nx
mx
cos
dx =
L
L
0,
sin
(2n 1)x
(2m 1)x
sin
dx =
2L
2L
0,
n = m,
L/2, n = m;
cos
(2n 1)x

Transport Phenomena in Biological Systems 2nd edition
Truskey, Yuan, and Katz
Errata
Pg 32: CHb is the concentration of hemoglobin, not the concentration of heme
groups (which is 4CHb).
Pg 140, equation 3.4.22 should read:
= An cosh( n z) cos( n y )
n =0

BE104 Lab 4b
The purpose of this lab is to model glucose usage by cells in a microfluidic
culture device. Briefly, cells are trapped in a well on a chip (see below). On
three sides of the well cell culture med

Problem ( oints)
Roadmap:
- model the trachea as a pipe
— deﬁne Reynolds number for a pipe
- find characteristic parameters (Lchanp air: P a?)
- find air velocity for normal breathing vs. sneezing
- compute Reynolds numbers for both cases
— decide whether

Name: _
BioE 104 Homework 5
Due at the beginning of class, 11:10AM, Friday 3/1/2013
Please attach this problem statement to your completed homework
1. (_ out of 2 points) Use the finite medium solution represented
by the graph below to estimate an answer

Name: _
BioE 104 Homework 2
Due at the beginning of class, 11:10AM, Friday 2/8/2013
Please attach this problem statement to your completed homework
1. (_ out of 1 point) Transport Phenomena in Biological Systems
2nd Edition Problem 6.1. Which method comes

Name: _
BioE 104 Homework 8
Due at the beginning of class, 11:10AM, Friday 4/5/2013
Please attach this problem statement to your completed homework
1. (_ out of 1 point) Estimate the Reynolds number for airflow
through the trachea of a normally breathing

Name: _
BioE 104 Homework 10
Due at the beginning of class, 11:10AM, Friday 4/19/2013
Please attach this problem statement to your completed homework
1. (_ out of 2 points) Prairie dog
burrows are elaborate and have
entrances at different heights. A
protr

Name: _
BioE 104 Homework 11
Due at the beginning of class, 11:10AM, Friday 4/26/2013
Please attach this problem statement to your completed homework
1. (_ out of 6 points) A cylindrical membrane has an inner radius
R0, outer radius R1, diffusivity DM, an

Name: _
BioE 104 Homework 12
Due at the poster session, Monday 5/6/2013
Please attach this problem statement to your completed homework
1. To trace ocean currents, a sphere with an initial radius of 1.8 cm is
to be dropped into the ocean. The sphere is ma

Name: _
BioE 104 Homework 4
Due at the beginning of class, 11:10AM, Friday 2/22/2013
Please attach this problem statement to your completed homework
1. We want to characterize unsteady diffusion of dittany (a drug)
through a flat membrane. At t < 0, the c

Name: _
BioE 104 Homework 3
Please attach this problem statement to your completed homework
1. (_ out of 4 points) You are
interested in steady-state mass
transfer (without reaction) through
the walls of a cylinder that consists
of two membranes (as shown

Name: _
BioE 104 Homework 9
Due at the beginning of class, 11:10AM, Friday 4/12/2013
Please attach this problem statement to your completed homework
1. You are applying dimensional analysis to determine
the energy of an atomic explosion. After much
delibe

. We saw 4mg ploblm OF 0. 3am]_m'-nae membrane) and W5
\3 50\ who n)
> pvobem: C:C1
Sol LL'HO v1:
7 CV
C1>c
0 Were was no empcvk \emh scale in 4445 onbN-PJ (0+, \ead we
ODWWSS 0116; need *0 WOW dene one). Howe/av, :1? we
eueci o4 CoWCQM'aHQn 0+ EM

BioE 104 Review
by Mani Mahdinia
Random Walk
For a very large number of particles that each move a distance during a time on a one
dimensional line, their position at time is denoted by (), and the average distance of the
particles at any time is zero, i.

317
10. Flow Due to an Oscillating Plate
Figure 9.12
Viscous decay of a line vortex showing the tangential velocity at different times.
The foregoing discussion applies to the decay of a line vortex. Consider now
the case where a line vortex is suddenly i