
Here we provide some design guidance for our first President by solving analytically the one-dimensional, steady-state conduction equation with volumetric generation. The volumetric heat generation comes from the composting of manure and other organic matter. The actual structure at Mount Vernon, Virginia was rebuilt to Mr. Washington’s 1787 design in 2001.
This simple project involves solving the appropriate governing differential equation, creating a VBA function for the temperature as a function of depth and plotting it up for visualization purposes.