ABSTRACT

We intend to treat steady heat conduction in the rectangular region shown in Fig. 15.1. It is assumed that the temperature is independent of the third coordinate z and consequently satisfies Laplace’s equation in two dimensions ∂ 2 T ∂ x 2 + ∂ 2 T ∂ y 2 = 0 . $$ \frac{{\partial ^{2} T}}{{\partial x^{2} }} + \frac{{\partial ^{2} T}}{{\partial y^{2} }} = 0. $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315108858/f4dff3a2-1feb-457b-a709-022257f02721/content/math15_1.tif"/>