Analysis of a Two-Phase MHD Free Convection Generalized Water–Ethylene Glycol (50 : 50) Dusty Brinkman-Type Nanofluid Pass through Microchannel

The water–ethylene glycol (50 : 50) nanofluid has applications in the manufacture of polyester as a raw agent, air conditioning systems, antifreeze formulation, dehydrating agents gas industry, precursor plastic and convective heat transfer. These developments nanotechnology nanoscience have caught interest several researchers. Because it keeps machines engines cool by reducing friction between their different parts, grease is vital part many machinery engines. Also, due to extensive use fractional derivatives, this work seeks evaluate combined impacts free convection flow transfer, magnetic field, Brinkman-type dusty among microchannel. that buoyant force provides helps carry naturally via convection. While left plate moves at consistent velocity right stays stationary, fluid also evenly dispersed with all dust particles spherical form. Partial differential equations (PDE) are used present mathematical modeling. resultant PDEs generalized utilizing Caputo–Fabrizio derivative. problem’s closed-form solution produced combining Laplace transformation finite sine Fourier transformation. It been studied temperature, Brinkman nanofluid, particle relate variety other factors, such parameter, Grashof number, volume parameter. graphical outcomes for fluid, temperature profiles plotted using Mathcad-15. behave similarly embedded factors. found compared traditional one, model displays more realistic characteristics. addition nanoparticles enhances rate transfer up 41.04478% increasing fractional.