Brinkman equation for a corrugated pipe using a spectral Galerkin method

This study numerically investigates the fully developed flow of a Newtonian fluid in a porous-saturated corrugated pipe, on the basis of a Brinkman model. The variable coefficient Helmholtz equation, which is obtained by means of an epitrochoid transformation, is solved using a spectral Galerkin method. The effects of both the Darcy number and corrugation on the velocity field are discussed and presented graphically. The nature of these effects is documented for the first time.