Abstract:
A mathematical model and numerical simulations of the new shear-driven micro-fluidic pump concept is presented. The flow of the Newtonian and shear-thinning non-Newtonian fluid in plane 2D geometry, micro-channel, or pipe is achieved by oscillatory motion of the channel walls. The oscillatory flow for finite 2D geometry and ramp quasi-periodic boundary conditions is presented resulting in positive flow rate for Newtonian and some rheological fluids. Various layouts of the oscillatory motive plates can be achieved. Such micro-fluidic pumps can be easily arranged in a serial or parallel layout to deliver desired flow rates and/or efforts. Proposed shear-driven micro-fluidic pump can find variety of applications in supporting blood flow in vascular channels, MEMS fluidic systems, nanotechnology, food processing, automotive industry, etc.