Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:D1L-B
Session:
Number:D1L-B-01
Active Porous Media: Waves and Muscles
Tagir Farkhutdinov , Fran?ois Gay-Balmaz , Vakhtang Putkaradze,
pp.597-598
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
Many parts of biological organisms are comprised of deformable porous media. The biological media is both pliable enough to deform in response to an outside force and can deform by itself using the work of an embedded muscle. We derive the equations of motion for the dynamics of such an active porous media (emph{i.e.}, a deformable porous media that is capable of applying a force to itself with internal muscles), filled with an incompressible fluid. These equations of motion extend the earlier derived equation for a passive porous media filled with an incompressible fluid. We extend this theory by computing the case when both the active porous media and the fluid are incompressible, with the porous media still being deformable, which is often the case for biological applications. We derive interesting conservation laws for the motion, perform numerical simulations in both cases and show the possibility of self-propulsion of a biological organism due to a particular running wave-like application of the muscle stress.