Mathematical modeling and simulation of MHD electro-osmotic flow of Jeffrey fluid in convergent geometry

The multiphase flow of Jeffery fluid under the impact of Magnetohydrodynamic is examined in this analysis. The nanoparticles of Hafnium metal are mixed up in the base fluid along with the impact of the electroosmotic phenomenon having a great significance in the present decade. Two different models, namely particulate and fluid phases, are considered for a convergent geometry with numerous usages in practical life, especially in modern technologies like microfluidic devices, chemical analysis, soil analysis, and other industries. The set of partial differential equations are converted into ordinary differential equations by using the non-dimensional quantities and obtained the exact solution of the resulting boundary value problem. The impact of physical parameters involving in the study is highlighted through graphs. To observe the flow pattern, the streamlines are also constructed. The Hartman number and Jeffrey fluid parameter slow down the velocity of fluid and particle phases. The Helmholtz-Smoluchowski parameter reduces the streamlines while the flow pattern remains unchanged via U-HS. Moreover, the results are also compared with the previously published literature and noted excellent agreement with each other. The developed mathematical will be helpful in the diverse geometries used widely in medical and engineering walks to incorporate the fluid in complicated places like species separation, biomedical lab-on-a-chip devices, DNA sequences and stimulated drugs in diverse veins colliers, etc.