Transient Flow in a Circular Cylinder Filled with Porous Material

In this paper, the problem of transient unidirectional flow in a circular porous medium is examined. The governing equation of fluid flow is modelled by employing the Darcy–Brinkman model. Using separation of variables technique, the analytical solution of modelled equation is established in the form of Bessel and modified Bessel functions. Moreover, the steady solution can be obtained as limiting case of the solution. Finally, the impact of relevant parameters on the transient velocity of fluid is also analyzed by the graphical and tabular illustrations.