The flow of an incompressible viscous fluid under a periodic pressure gradient through the annular space between two porous concentric circular cylinders subjected to suction and injection

Summary The flow of an incompressible viscous fluid due to a periodic pressure gradient through the annular space between two porous concentric circular cylinders with uniform injection into the outer cylinder and uniform suction into the inner cylinder has been considered. The expressions for the pressure and velocity are found. In view of the presence of the Bessel function in the axial component of velocity, we have discussed the two special cases of very small and very large oscillations. An approximate expression for the temperature, including viscous dissipation, when the oscillations are small is also found.