Period Electroosmotic Flow Of Maxwell Fluids Under The Effect Of Vertical Magnetic Field In Microchannel

Microfluidic devices have attracted considerable attention during recent years due to its potential applications as a tool for studying fundamental physical and biochemical processes and a platform for performing chemical and biological assays. Since the exchange of charges in channel wall and electrolyte, the free ions are either attracted to or repelled from a charged surface depending on the sign of the surface charges. Such a redistribution of free ions together with the surface ions gives rise to electric double layer (EDL). Application of an electric field along the length of the micro-plates causes an electrical body force to be exerted on the mobile ions. The migration of the mobile ions will carry the adjacent and bulk liquid phase by viscosity, resulting in an electroosmotic flow (EOF). Magnetofluiddynamics (MHD) describes the frontier area combining classical fluid mechanics and electrodynamics. MHD thus mainly deals with flows of electrically conducting fluids which are subject to a magnetic field and or an electric current driven by an external voltage.In this article, period EOF of Maxwell fluids under the effect of vertical magnetic field in microchannel is studied. Fluids are driven under the Lorentz force produced by the interaction of a vertical magnetic field and two horizontal electrical fields. Using the Debye-Huckel linearization approximation obtains electric potential distribution. Finally, the solution involves analytically through solving the Cauchy momentum equation and the Maxwell constitutive equation by using the method of separation of variables. By numerical computation, the influences of several parameters, such as Hartmann number Ha, Reynolds number Re, dimensionless relaxation time De and electrical field strength parameter S on the velocity profiles and volumetric flow rates are explained graphically.