Analytical solutions for the dynamic analysis of a valveless micropump — a fluid–membrane coupling study

Abstract A non-linear vibration model for fluid–membrane coupling is developed for simulating the behaviour of valveless micropumps. The analytical solution for fluid–membrane coupling vibration has been approximated using the Galerkin and small parameter perturbation methods. Specifically, the vibration response of the membrane and the mean flux through a valveless membrane micropump are investigated in detail. The effects of the pressure loss coefficients of the diffuser and the coupling parameter on the mean flux are examined. An optimal working frequency range for the valveless membrane micropump is obtained. Numerical examples are presented to demonstrate the effectiveness of the present model for the designing of valveless micropumps.