A theory of the electrohydrodynamic induction pump is described which includes charge convection, inhomogeneous fluid properties caused by temperature gradients, and harmonics in the electric traveling wave. The case of stable laminar flow in a wide reentrant rectangular channel is presented as an examle. Results are more realistic than earlier models. A limiting synchronous speed appears, as in magnetic induction devices. Velocity profiles become flatter than a parabolic profile as operating conditions of practical significance are reached.