Modeling a Flow around Permeable Surfaces

Abstract: The paper presents a method for calculating a flow around a permeable surface using a set of bodies modeling the impermeable part of the surface. The permeable surface is simulated by a finite relatively small number of elements determined by the available computer processing capabilities. The similarity between the aerodynamic properties of the surface in the mathematical model and the real surface is provided by the geometric similarity between the shape of the surface elements and the equal value of the permeability coefficient. Comparison of the calculation results with the experimental findings shows the possibility of a reasonably reliable prediction for the aerodynamic properties of permeable surfaces. An example is given of calculating the flow around tori with different geometric shapes, which shows that calculations can be carried out in a wide variation range of the permeability coefficient. Examples of calculating the flow around a permeable cone and cylinder are presented to demonstrate the possibility of modeling flows in the vicinity of complex configurations. A software package for modeling two-dimensional plane and axisymmetric flows near permeable surfaces is implemented. © 2019, Pleiades Publishing, Ltd.