Parametric analysis of multi membrane based pumping flow model with induced magnetic field

The computational and mathematical analyses of the bioinspired membrane-based pumping flow models with induced magnetic field are important in medical science and engineering expressly in controlling the micro scale transport phenomena. In this study, a theoretical model for multi membrane pumping flow modulated by the electro-magneto-hydrodynamics through microchannel is presented. Navier–Stokes equations and Maxwell's equations are utilised for the simulation of the magneto-hydrodynamics flow of electrically conducting fluids driven by rhythmic progression of membranes fitted at upper wall of microchannel. A Lorenz Gauge transformation technique is utilised to analyse the flow structure of the induced magnetic field. The analytical approach is adopted to solve the mass, momentum, and magnetic induction equations along with suitable boundary conditions under the low Reynolds number and long wavelength approximations. The computational results for pressure gradient across the microchannel, axial and transverse velocity fields, axial induced magnetic field, distribution of magnetic force function and longitudinal section magnetic under the effects of electric field parameter, magnetic Reynolds number, time phase lag and Hartman number are illustrated by MATLAB coding. The results reveal that pressure gradient and induced magnetic field increase with increasing the percentages of travel collapse of membranes. It is further noted that induced magnetic fields is affected with magnetic Reynolds number and electric field parameter. The key findings of the present study may be useful for designing magneto-convective microfluidics devices which can serve the various purposes of the health care for Magnetic resonance imaging and other electromagnetic therapy for different types of pain.