Math 312 Lectures 4 and 5
Second Order Dierential Equations;
Nondimensional Equations
Warren Weckesser
Department of Mathematics
Colgate University
26, 28 January 2005
We introduce second order dierential equations, and then discuss the technique of nondi
Topic 1: Nondimensionalization, Scaling, and Units
Course Notes, Math 558
Spring 2012
Barenblatt.book
Holmes.new.book
This section is a selection of material related to include Chapters 03 of [1], Chapters 13 of [2].
1
Dimensional Analysis
1.1
Example 1.
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1 = I I
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Amath-Math 586/Atm S 581
Due by 5 p.m. Friday, 10 June 2005
Final Project (Please do by yourself without consulting with anyone) 1. Consider the 1D advection equation: qt + qx = 0, 0 < x < 1, t > 0, with initial condition q(x, 0) = 0 and boundary conditio
Nur Adila Faruk Senan
Department of Mechanical Engineering
University of California at Berkeley
A brief introduction to non-dimensionalization
Consider the following equation:
h2
m1 2rr + r2 +
= m2 g(c2 r) sin() k(r r0 )2 ,
m1 r2
(1)
m1 , m2 , r0 , c, g a