Role of odd viscosity on falling films over compliant substrates

Abstract

We investigate the stability of a thin film flow on a compliant substrate with broken time-reversal symmetry. The broken time-reversal symmetry induces odd viscosity in the liquid. Using coupled equations encompassing the film and substrate, we ascertain that inclusion of a compliant substrate induces instability within the system. Nonetheless, the introduction of odd viscosity notably enhances its stability. Furthermore, under conditions of weak nonlinearity, the incorporation of odd viscosity can effectively mitigate the occurrence of chaotic behavior arising from compliant substrates. Numerical simulations confirm that odd viscosity has a substantial impact on substrate deflection.