BE308 S2014 - Exam 1 Details
Monday 3/10, 6PM-8PM location: NSC 228
You may bring:
o One sheet of notes (handwritten, front and back)
o Wilcox textbook
o Calculator
o Pencils
Topics:
o Chpt 1 Introduction:
what is a fluid and the continuity assumption
s

553
J. Physiol. (I955) 127, 553-563
METHOD FOR THE CALCULATION OF VELOCITY, RATE OF
FLOW AND VISCOUS DRAG IN ARTERIES WHEN THE
PRESSURE GRADIENT IS KNOWN
By J. R. WOMERSLEY
From the Department of Physiology, St Bartholomew's Hospital
Medical College, Lond

Summary of Biofluid mechanics
topics
Biofluidmechanics BME 308
Copyright 2013 by J. Lippmann
Publication or reproduction without permission is not permitted
Top level breakdown
Understanding and Classifying Fluids
Non-dimensionalization
General Mathematic

Method for Attacking control volume problems
This is a general outline for solving control volume problems. It aims to provide enough detail so you can
gain understanding, but not enough to replace reading the book. Steps are simplied and/or skipped. Plea

Vorticity and Viscosity
In this chapter, we will see that there is direct
connection between vorticity and the force that
develops on an object moving through a fluid
We will prove that there is no physical mechanism
for developing vorticity in an invisci

BE308 Sp2016 PS1 v1.0 Due: Week 2 Monday
1 of 2
= Problem to be submitted by each student individually.
Surface Tension
Problem 1. Air (STP) surrounds a water droplet of diameter D = 10 mm. The temperature of the droplet
is 7 C. Determine the surface ten

BE308 Sp2016 PS 2 v1.0 Due: Week 3
1 of 2
= Problem to be submitted by each student individually.
Compressibility/Dierential Equations
Problem 1. Water is often considered incompressible, however it does have a nite compressibility of 4.65
x 1010 m2 /N.

BE 308: Biofluidmechanics
SUNY at Buffalo, Spring 2016
Instructor:
Julian Lippmann, PhD
Office Location:
301 Bonner Hall
Telephone:
(716) 645-8499
Email:
lippmann@buffalo.edu
Office Hours:
F 11-1 in 301 Bonner or by appointment
Class Days/Time/Place:
Lect

BE308 Sp2016 PS1 Solution v1.0
Updated: February 2, 2016
= Problem to be submitted by each student individually.
Problem 1. Air (STP) surrounds a water droplet of diameter D = 10 mm. The temperature of the
droplet is 7 C. Determine the surface tension and

Chapter 1
Introduction
Chapter Abstract. In this introductory chapter we first discuss the magnificent achievements
in aviation during the past century, which is the most obvious area in which fluid mechanics
plays a significant role. It is not the only a

BE304 2016 homework
1) 50 points: Image comparison of the various modalities
a) go online find whole body x-ray images, whole body CT images, whole body MRI images, whole
body nuclear medicine images, whole body ultrasound images (you might have to be sat

BE304 2016
Homework 2
Imaging Basics
Basic imaging properties
1) Exercise your ImageJ skills.
a) Download ImageJ from the NIH website: rsbweb.nih.gov/ij/
b) run ImageJ
c) drag and drop the image contrast_detail_phantom_large.jpg into ImageJ for display.
d

Vortex Forces
We can rewrite Eulers equation to show that:
This states that the vorticity results in a force
perpendicular to the fluid direction and the vorticity.
This force is what would generate:
lift on a wing
Force on a propeller blade
Force o

Pulsatile Flow
The basic analysis of pulsatile ow was done by Womersley in the 1950s [3]. He solved the Navier-Stokes
equation for pressure driven ow in a tube (similar to Poiseuille ow), but for a periodic pressure source
(pressure varies in time). He di

BE308 S2014 - Exam 2 Details
Wednesday 4/16, 6PM-8PM location: NSC 228
You may bring:
o One sheet of notes (handwritten, front and back)
o Wilcox textbook
o Calculator
o Pencils
Topics:
o Chpt 5 differential analysis for inviscid flows:
Continuity equati

BE308 S2014 - Final Details
Thursday 5/15, 11:45AM-2:45PM location: NSC 216
You may bring:
o Two sheet of notes (handwritten, front and back)
o Wilcox textbook
o Calculator
o Pencils
Topics:
o Exam 1 and 2 topics
o Chpt 10 Viscous Flow Basics
Helmholtzs

BE 308: Biofluidmechanics
SUNY at Buffalo, Spring 2014
Instructor:
Julian Lippmann, PhD
Office Location:
301 Bonner Hall
Telephone:
(716) 645-8499
Email:
lippmann@buffalo.edu
Office Hours:
M 11-12 and M 2-3 in 301 Bonner
Class Days/Time/Place:
Lecture: TT

Conservation of Mass and Momentum Momentum
Using the Reynolds Transport Theorem, it is a simple matter to derive mass- and momentum-conservation laws for a control volume, i.e., the integral forms
Global view Indirect computation of forces
Focusing on a

Control-Volume Method
Global view as opposed to a detailed view
Determine relations between what flows in and out of a control volume Indirect computation of forces No information about details of flow within the CV Mass Conservation Momentum Conservati

Known Typographical Errors in the Fourth Edition, First Printing of
Basic Fluid Mechanics by D. C. Wilcox
These are all of the known typographical errors as of February 12, 2013.
1. Page 9, Example 1.1, lines 2 and 4: Replace gm with g.
2. Page 44, Proble

Conservation of Energy
The equation of state for gases and liquids is
The equation of state and the mass-and momentumconservation principles provide five equations
Mass: 1 scalar equation Momentum: 1 vector equation with 3 components State: 1 scalar equ

Method for Attacking control volume problems
This is a general outline for solving control volume problems. It aims to provide enough detail so you can
gain understanding, but not enough to replace reading the book. Steps are simplied and/or skipped. Plea

Chapter 1
Dimensional Analysis
1.1
The nature of Dim & non-dim numbers
When we look at the physical world we have lots of units system (a sets
of units) available to us: SI, English, etc. Each unit system lets use dene
quantities in the real world. For ex