ABSTRACT
This chapter examines various problems in steady-state conduction. It considers problems of heat flow through various configurations of cylindrical geometries. The chapter describes cylinders made up of composite materials. It provides an analytical approach in which the appropriate differential equation is solved subject to the applicable boundary conditions. The chapter also considers the effect of uniform steady internal heat generation on the one dimensional temperature distribution existing in a cylinder. Common examples of hollow cylinders are pipes and tubes, which are used extensively in industry to convey fluids from location to location. Pipes are usually specified according to a nominal size and a schedule. In many problems having a polar cylindrical geometry, heat transfer by convection is quite common. Examples include steam flowing through an insulated pipe, cold freon flowing through a copper tube, and heated crude oil flowing up from underground at an oil well.
