ABSTRACT
This chapter considers the conduction heat transfer in more than one dimension. The analytical method was presented for a relatively simple two-dimensional geometry, in which an explicit equation for temperature was obtained. The chapter provides an example of a two-dimensional conduction problem. The graphical method of solution to two-dimensional conduction problems is a versatile technique that can be applied to some very irregular geometries. The method involves the development of a flow net by the freehand sketching. The two-dimensional conduction problem, when solved graphically, involves determining the conduction shape factor. The one-dimensional steady-state equation written for fins is a boundary-value problem in which information is specified at the boundary of the geometry of interest. As heat is produced by the mixture, air in the region about the portion of the rod within the beaker is warmer than the surrounding air.
