BME110C Midterm Exam 2
The honor code is in effect. Please follow all of the following instructions
regarding this exam. If you feel unclear about any of these instructions, you are
required by the honor code to ask for clarification.
The exam must be com
May 09, 2013
BME110c
Arash Kheradvar
Solution Set 5
Due May 16, 2013
In class
1) What is a fully developed flow? Simplify the Navier-Stokes equations in polar
coordinate for a fully developed in a pipe, and find the steady state solution
(Poiseuille Flow)
3
Steady Flow in 'lUbes
3.1
Introduction
When flow enters a tube, the no-slip boundary condition on the tube wall
arrests fluid elements in contact with the wall while elements along the
axis of the tube charge ahead, less influenced by that condition. Be
BME210B Midterm Exam 1
The honor code is in effect. Please follow all of the following instructions
regarding this exam. If you feel unclear about any of these instructions, you are
required by the honor code to ask for clarification.
The exam must be com
6
Wave Reflections
6.1
Introduction
Solutions of the equations for pulsatile flow in an elastic tube considered
in Chapter 5 produce a flow field that differs only slightly from the corresponding solutions in a rigid tube. The elastic tube solution is bas
BME110C Midterm Exam 1
The honor code is in effect. Please follow all of the following instructions
regarding this exam. If you feel unclear about any of these instructions, you are
required by the honor code to ask for clarification.
The exam must be com
BME110C Final Exam
The honor code is in effect. Please follow all of the following instructions
regarding this exam. If you feel unclear about any of these instructions, you are
required by the honor code to ask for clarification.
The exam must be complet
BME110B Final Exam
The honor code is in effect. Please follow all of the following instructions
regarding this exam. If you feel unclear about any of these instructions, you are
required by the honor code to ask for clarification.
The exam must be complet
BME 110C
Biomechanics III
Spring 2013
Course Instructor:
Arash Kheradvar, M.D., Ph.D.
Email: arashkh@uci.edu
2410 Engineering Hall
Phone: 949-824-6538
Teaching Assistants
Omid Rohani
Email: omid.rohani@gmail.com
Maha Rahim
Email: maharahim@gmail.com
Class
4
Pulsatile Flow in a Rigid Tube
4.1
Introduction
Flow in a tube in which the driving pressure varies in time is governed by
Eq.3.2.9, namely,
pau + ~ ap
at pax
= fl
(a 2u + ~ au)
ar2 r ar
Providing that all the simplifying assumptions on which the equati
Wall Stress and Patterns of Hypertrophy
in the Human Left Ventricle
WILLIAM GROSSMAN, DONALD JONES, and LAMBERT P. MCLAURIN
From the C. V. Richardson Cardiac Catheterization Laboratory and the
Department of Medicine, University of North Carolina School of
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- m m m m Max/(er ~ Stokes humane to degcvibe flow in mm. We can make many of {he
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2
Equations of Fluid Flow
2 .1
Introduction
Equations governing steady or pulsatile flow in a tube are a highly simplified
form of the equations that govern viscous flow in general. The laws on which
the general equations are based and the assumptions by
1
Preliminary Concepts
1.1
Flow in a Tube
Flow in a tube is the most common fluid dynamic phenomenon in biology.
For two good reasons, the bodies of all living things, from the primitive to
the complex, plant or animal, are permeated with a plethora of fl
Problem Set #1 - Solutions
1. Describe the most important physical properties of liquids and explain the differences between
liquids and solids.
Fluids deform under the action of a force and continue to do so o
Homework 8
Solutions
1) Show by substitution that separation of variables in equation:
u (r , t ) = U (r )e it
reduces the partial differential equation of
2 u
r 2
+
1 u u Ks it
=
e
r r
t
into an ordinary differential equation.
Solution:
Substituting U
Problem Set 4
1. (25 Points) Consider high-speed turbulent flow through a narrow constriction, as shown below.
Assuming that the velocity profiles are uniform in turbulent flow (i.e., the time averaged velocity
v is a constant and does not vary with di
Problem Set 6 - Solutions
1. The perimeter of an ellipse of semi-minor and semi-major axes b and c is equal to that of a circle
of radius a if !
! ! ! !
!
. The flow rate for the ellipse is !" =
The flow rate for a circle is ! =
! ! !
!
! !
!
! , wher
The Circulatory System:
Rheology of Blood
BME 110C: Biomechanics
May 3, 2012
Dr. Jimmy Su
University of California at Irvine
Outline
1. Blood characteristics
2. Viscous behavior
3. Flow effects for small vessels
Blood Composition
blood
Plasma ( 55%)
water
May 16, 2013
BME 110C
Arash Kheradvar
Problem Set 6
Due May22, 2013
During TA office hours
1) Consider laminar viscous fluid, which is incompressible flowing through a
constant circular cross-section tube that is substantially longer than its diameter
(Po
April 11, 2013
BME 110C
Arash Kheradvar
Problem Set 2
Due April 18, 2013
In class
1) When density is constant, the law of conservation of mass as expressed:
1
0
does not contain either mass or density. Explain how this is possible (30 points).
2) Identify