نوع مقاله : مقاله پژوهشی
دانشکده مهندسی مکانیک- دانشگاه فردوسی مشهد
عنوان مقاله [English]
In this study, a numerical model for simulation of the interaction between a deformable solid body and an incompressible fluid is developed. The solid object is assumed to be a hyperelastic material which has many applications in biological systems. The developed model uses an Eulerian approach for both fluids and solids and the volume of fluid method, to obtain the position of the solid object. For treating the solid object, a deformation tensor is employed, which is computed by means of a transport equation at each time step. Based on the obtained value of deformation and, also, the constitutive equation of the solid object, elastic stresses can be calculated. This term, which has a nonzero value only in the solid zone, is added to the fluid governing equations.The elastic stresses have discontinuities across the fluid/solid interface. Therefore, the dynamic boundary condition is not completely satisfied. For improving this boundary condition, the viscosity in the solid object is increased, which reduces the effects of the elastic stresses in the fluid/ solid interface; resulting in a stable simulation.For validating the numerical results, a simple experiment is performed, in which the movement of a spherical deformable solid object in air and its impact on a rigid substrate are studied. In this experiment, a CCD camera is employed to capture images from the movement of the solid object. Next, an image processing technique is used to obtain the required data. The same case is also simulated using the developed numerical program, and the obtained results are compared with those of the experiments. The numerical results are in good agreement with those of the experiments performed in this study.