Dead-end pore, dissolved contaminant, 1 mm/s, steady

Pore system, 1 mm wide, 1 mm x 1 mm dead-end pore, is initially inundated with 1 mol m^-3 of model contaminant dissolved in water (no density change). Laminar flow, inflow of 0.001 m s^-1 from the left and a pressure boundary on the right. No slip, no flux boundary condition.