Determine the steady state temperature distribution in a rectangu-lar plate of size 20cm x 20cm by solving the Laplace equation:0,urith boundary conditions:T(0, y) = T(20, y) = 20°, T(x, 20) = 40°, and T(x,0) = 0°. Take Ax = 5cm = Ay.%3D

Given ∂2T∂x2+∂2T∂y2=0. The boundary conditions are depicted in the figure below,

Answered: Determine the steady state temperature…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the steady state temperature distribution in a rectangu- lar plate of size 20cm x 20cm by solving the Laplace equation: PT ²T - 0, dz² dy² with boundary conditions: T(0, y) = T (20, y) = 20°, T(r,20) = 40°, and T(r,0) = 0°. Take Ar = 5cm = Ay.