This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: EGM 4313 NAME:_____________________________ Spring 2010 Final Exam Open book/Closed notes/No calculators or computers 2 hour time limit (1) Solve the following unsteady 1dimensional heat equation problem: ( 29 ( 29 ( 29 ( 29 2 2 3 , 0, 10, , 20 , ,0 10 3cos 2 u u u x t u t u x x t x x = = = = + + . First find the steadystate solution: ( 29 ( 29 ( 29 ( 29 ( 29 , 10 10, 20 10 10 ss ss ss ss u x Ax B u A u B u x x = + = = = = = + Now let ( 29 ( 29 ( 29 ( 29 ( 29 , , 10 , ss u x t u x x t x x t = + = + + The problem for ( 29 , x t is now: ( 29 ( 29 ( 29 2 2 3 , 0, 0, , 0, ,0 3cos 2 x t t x t x x = = = = Separating variables gives ( 29 ( 29 ( 29 ( 29 ( 29 2 1 2 , cos sin X T x t X x T t X C x C x X T = = =  = + Applying the boundary condition at x=0 gives C 2 =0. The other boundary condition gives ( 29 1 1 3 5 cos , , 2 2 2...
View
Full
Document
This note was uploaded on 09/05/2011 for the course EGM 4313 taught by Professor Mei during the Spring '08 term at University of Florida.
 Spring '08
 MEI

Click to edit the document details