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Abstract
The flow space formed between two wavy surfaces when the wave directions are mutually orthogonal is a model for flow through a porous medium. The model allows for both tortuosity and connectivity of flow channels but contains surfaces that are described by simple continuous functions. Characteristics of the creeping motion of an incompressible Newtonian fluid in such a flow space are presented. Results from a boundary integral solution to the equations of motion compare well with those obtained from a perturbation expansion valid for a slowly varying distance between channel walls. It is found that under certain conditions one or more recirculation eddies exist in the cavities formed by wall corrugations transverse to the flow direction.