Abstract: Flow through a variable permeability Brinkman porous layer with quadratic permeability function, underlain by a Darcy porous layer of variable linear permeability function is analyzed. The model flow demonstrates the compatibility between the low-order Darcy law and the Brinkman equation in the sense that at the sharp interface between the layers it is possible to impose equality of the non-zero shear stresses. A matching procedure is also introduced for velocity computation near the point of singularity associated with the resulting Cauchy-Euler equation.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan, "Flow through Variable Permeability Composite Porous Layers," WSEAS Transactions on Fluid Mechanics, vol. 12, pp. 141-149, 2017, DOI:
M. S. Abu Zaytoon, T. L. Alderson, M. H. Hamdan. Flow through Variable Permeability Composite Porous Layers.
WSEAS Transactions on Fluid Mechanics. 2017;12:141-149.