P9-24 - Hint for Problem 9.24 May 9, 2011 The problem is...

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

View Full Document Right Arrow Icon
Hint for Problem 9.24 May 9, 2011 The problem is T xx + T yy = sin( ωx ) T ( x = 0) = T ( x = l ) = T ( y = 0) = 0 , T ( y → ∞ ) bounded . The PDE can be reduced to a homogenous one by the substitution U = T + A sin( ωx ) U xx = T xx - 2 sin( ωx ) U yy = T yy . Substitute into the PDE to determine the value of A for it to be homogenous: U xx + 2 sin( ωx ) + U yy = sin( ωx ) A = ω - 2 . Now the problem becomes U xx + U yy = 0 U ( x = 0) = ω - 2 sin( ω 0) = 0 U ( x = l ) = ω - 2 sin( ωl ) U ( y = 0) = ω - 2 sin( ωx ) U ( y → ∞
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/30/2011 for the course CGN 2200 taught by Professor Glagola during the Spring '11 term at University of Florida.

Page1 / 2

P9-24 - Hint for Problem 9.24 May 9, 2011 The problem is...

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