Mathematical modeling and analysis of immiscible metallic based nanofluid flow in a microchannel with non-spherical nanoparticles

The non-spherical shaped nanoparticles have grown in popularity due to their ability to alter the nanofluid thermophysical properties. This nanofluid plays a beneficial role in biomedical imaging, cancer and tumor therapy. In the current study the effect of pressure gradient, transverse magnetic field and electroosmosis on the flow of two immiscible metallic based nanofluids (blood-based Au/Ag Casson nanofluid and water-based Au/Ag Newtonian nanofluid) of different viscosities in separate regions in a microchannel is addressed. The combined impact of electromagnetohydrodynamics (EMHD), modified Darcy’s law, Joule heating and Hall current have been considered into account. The mathematical modeling has been developed with the help of modified Navier Stoke’s equations, and simplified the complex problem using appropriate assumptions and non-dimensional parameters. The complementary function and particular integral concepts have been used to obtain the exact solutions of a non-dimensionalized system of coupled differential equations along with non-dimensionalized conditions. The dimensionless velocity, temperature and concentration profiles of nanofluids have been computed. The influence of numerous relevant fluid transport parameters has been graphically depicted. It is noticed that the magnetic strength declines the nanofluid velocity in both regions. Further, the radiation parameter exhibits an inverse effect on the rate of heat transfer in nanofluids. The heat transfer rate enhanced by 56% and 2% with rising volume fraction [0.01 to 0.02] and zeta potential [0.1 to 0.2], respectively. With increasing strength of magnetic field [2 to 3], thereby 31% increment in shear stress distribution. The results of the current study can be used to enhance the performance of various processes such as surface-enhanced Raman spectroscopy, drug delivery, sensors, and electrochemistry.