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Received: 20 January 2018 Accepted: 17 October 2018 This article presents a model for fluid flow in a cylindrical tube filled with a Bi-disperse Porous Medium (BDPM). The model is a modified Brinkman model where the conventional single solid porous structure is replaced with a porous matrix having a dual porous phases (the fracture and porous phases). The fluid velocities UUff and UUpp in the fracture and porous phases respectively of the BDPM are coupled together by the coefficient of momentum transfer (ηη). Exact solutions in terms of modified Bessel functions for the velocity fields in the fracture and porous phases for any arbitrary value of ηη using D’Alembert method as well as for the limiting cases ηη = 0 and ηη → ∞ have been obtained. The study establishes that increasing the momentum transfer coefficient suppresses (enhances) the fluid velocity in the fracture (porous) phases of the BDPM.

Steady state pressure driven fluid flow in a cylindrical tube filled with bidisperse porous medium