FinalExam - EGM 4313 NAME Spring 2009 Final Exam Open book/Closed notes/No calculators or computers 2 hour time limit(1 Solve the following heat

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EGM 4313 NAME:_____________________________ Spring 2009 Final Exam Open book/Closed notes/No calculators or computers 2 hour time limit (1) Solve the following heat equation problem: ( 29 ( 29 ( 29 ( 29 2 2 5 , 0, 10, , 20 , ,0 10 5cos 2 u u u x t u t u x x t x x π π π ∂ ∂ ∂ = = = = + + ÷ ∂ ∂ ∂ . First find the steady-state solution that meets the boundary conditions: ( 29 ( 29 ( 29 ( 29 ( 29 10 10 20 10 10 ss ss ss ss u x Ax B du A dx u B u x x π π π π = + = ⇒ = = ⇒ = ⇒ = + ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 , , 5 , 0, 0, , 0, ,0 5cos 2 ss u x t u x x t x t t x t x x φ φ φ φ φ π φ = + ∂ ∂ ∂ ⇒ = = = = ÷ ∂ ∂ ∂ The problem is greatly simplified if you notice that the initial condition on φ meets the boundary conditions and is in the form that one gets from separation of variables hence you should look for a solution of the form: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 25 25 4 4 25 4 5 5...
View Full Document

This note was uploaded on 12/15/2011 for the course EGM 4313 taught by Professor Mei during the Fall '08 term at University of Florida.

Page1 / 4

FinalExam - EGM 4313 NAME Spring 2009 Final Exam Open book/Closed notes/No calculators or computers 2 hour time limit(1 Solve the following heat

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online