Abstract
Practical aspects of the application of isovector methods to equations of balance are summarized. The dimension reduction argument given in the appendix together with programs in the REDUCE-2 algebraic manipulation language reduce the computation time from man-years to a few mornings work at a computer terminal. Specific applications to commonly encountered problems are given. All isovector fields for the following systems are exhibited: steady incompressible viscous flows in 2 spatial dimensions; steady thermal boundary layer equations in 2 spatial dimensions; unsteady incompressible viscous flows in 3 spatial dimensions; and dynamic thermoelasticity in 3 spatial dimensions. These results give immediate information concerning the connectivity of the solution sets and similarity variables. In particular, it is shown that only solutions of the unsteady incompressible viscous flow equations with the same local continuity classes can be connected.
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