ABSTRACT
In this chapter, some exact solutions to the equations governing the motion of an incompressible, viscous ¡uid will be established. It is perhaps because so few exact solutions have been found that they are so important. The basic dif‡culty in obtaining exact solutions to viscous-¡ow problems lies in the existence of the nonlinear convection terms in Equation III.2. Furthermore, these nonlinear terms cannot be circumvented in this instance in the manner used in the study of ideal ¡uids. This, in turn, is due to the inapplicability of Kelvin’s theorem due to the existence of viscosity, and viscous ¡ows are not potential. In addition, the Bernoulli equations do not apply.
