Heat transfer and entropy generation in a microchannel with induced magnetic field and membranes pumping: Ghost -Valve model

This study investigates the thermofluidic characteristics of viscous fluids flowing through a vertical microchannel with transient multimembrane propagation, subjected to an induced magnetic field. The significance of this research lies in its potential to optimise microchannel systems for advanced applications, including drug delivery, lab-on-a-chip devices, and micro-thermoelectric cooling systems. Existing studies have primarily focused on simplified geometries and neglected the effects of membrane dynamics and induced magnetic fields. To address this knowledge gap, this study employs a comprehensive analytical model, combining Maxwell's equations with the Navier-Stokes equations, and utilises MATLAB to demonstrate the solutions. The key outcomes reveal that the magnetic field reduces fluid flow in the absence of an electric field, while the presence of multiple membranes enhances flow characteristics and heat transfer properties. The results also show that increasing current intensity, Grashof number, and heat source parameter enhances entropy generation within the microchannel. This study concludes that the optimization of microchannel systems requires careful consideration of membrane dynamics, induced magnetic fields, and thermofluidic interactions. The originality of this work lies in its comprehensive analysis of the complex interplay between these factors, providing valuable insights for the design and optimization of advanced microchannel systems. The findings of this study transcend existing literature by providing a more nuanced understanding of the thermofluidic characteristics of microchannel flows, and demonstrating the potential for optimization through the careful design of membrane dynamics and induced magnetic fields.