The problem considered is that of fully developed, laminar incompressible flow in a stepped rectangular channel. An analytical solution is obtained for the velocity profile by using the variational method. Velocity profiles are computed for a specific case by truncating the series expressions and evaluating the coefficients numerically (Rayleigh-Ritz method). These velocity profiles are compared to those obtained by solving a set of finite difference equations. The solution of the problem provides information for the velocity at a step discontinuity in width between parallel plates and permits an evaluation of one-dimensional methods of attacking the same problem.

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