The entry problem for an annular channel configuration which has the Globe profile for its fully developed condition is solved numerically for various values of the pertinent parameters describing the flow. The nonlinearities present in the momentum and energy equations are utilized in the solution of the problem by placing the equations in a finite difference form. For a large accelerating electric field the velocity profile was found to reverse itself in an area near the outer wall of the channel. Velocity, temperature, and pressure curves are presented from the results of computational work.