Oscillating Flow of a Viscous Liquid in a Porous Rectangular Duct
Abstract
The unsteady flow of viscous incompressible liquid in a long porous straight duct of rectangular cross-section, under the influence of periodic pressure gradient using the generalised momentum equation, has been studied. The finite cosine transforms have been employed to solve the problem. Expressions for velocity distribution, volume flowrate (flux) and drag in the duct have been derived. A few particular cases have been deduced. It is found that the classical Darcian effectis felt only in a core very near to the axis of the duct and the non-Darcian phenomenon is felt predominently, near the boundary of the duct. Itis also found that the velocity, volume flow rate (flux) and drag increase with the increase in frequency of oscillations of liquid. Whereas the porosity of the medium reduces both the velocity and flux and increases the drag.References
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