Abstract
AbstractThe study of an immiscible fluid plays a significant role in the field of petroleum extraction, blood flow in arteries, hydrology, manufacturing process, and reservoir mechanics. These phenomena include immiscible fluids of different densities and viscosities in the same channel. Due to the various practical applications, in the current study, the generalized Couette flow of two immiscible fluids (Newtonian and non‐Newtonian fluids) of different viscosities between two infinite parallel plates under the presence of constant pressure gradient and electroosmosis is addressed. The effects such as electromagnetohydrodynamics, zeta potential, Joule heating, thermal radiation, modified Darcy's law, and chemical reaction have been also considered into account. The dimensional system of equations has been nondenationalized with suitable dimensionless quantities. The resulting nondimensional system of coupled flow equations has been solved analytically. The solutions for the velocity, temperature, and concentration have been presented. The effect of various pertinent fluid flow parameters has been displayed graphically. The current study concludes that both the velocity and temperature profiles decrease with the increase in Hartmann number and radiation parameter, whereas an increase in chemical reaction parameter uplifts the concentration of both fluids.
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