This study delves into the intricate details of microfluidic mixing efficiency, presenting a comprehensive exploration of a novel continuous synthetic process facilitated by a microfluidic reactor. The system integrates membrane-assisted actuation methodologies, meticulously optimized through a combination of advanced numerical simulations and empirical experimentation to maximize mixing efficacy. Numerical simulations meticulously explored the system dynamics across a spectrum of frequencies spanning from 1 Hz to 10 Hz, manipulating the membrane's oscillation velocity to achieve optimal mixing conditions. This computational approach provided crucial insights into the complex fluid dynamics within the microfluidic reactor, guiding subsequent experimental design and parameter optimization. From these efforts, the study investigates the effects of active mixing frequency and Reynolds number on mixing index of microfluidic devices. Experimental investigations involved the utilization of solutions containing Rhodamin B and water under varying frequency and velocity settings. By systematically varying these parameters, the study identified the precise operational conditions that yielded superior mixing performance. Furthermore, the results of this research will serve as a stepping-stone for further studies on ZnO nanoparticle synthesis, examining the effect of mixing index on the size and morphology of nanoparticles.