Unsteady flow of hybrid fluid via peristaltic pumping in wavy micro-tube under electric and magnetic field effects: An application of Hall device and slip boundary

Abstract

Aim of study In the current analysis, the blood is used as a viscoelastic fluid and manipulated with an electromagnetic field because of its magnetic features. Furthermore, blood is considered as a non-Newtonian fluid that is productive in nano- and micro-scales transport. To study the performance of hybrid fluids, a selection of nanofluids is examined with a Jeffrey fluid (blood) which is doped with [Formula: see text] and [Formula: see text] nanoparticles. Mathematical formulation The long wavelength assumption, lubrication theory and Debye–Huckel linearization are employed. Analytical solutions of flow equations are implemented in Mathematica by using integration technique. The impacts of considered parameters on the flow are computed. Combined influence of Hall device, momentum, and thermal slips is observed on various flow features. Outcomes Magnitude of the velocity goes on decreasing by increasing magnetic and viscoelastic parameters. The wavy behavior is predicted in the graphs of pressure gradient due to the complex nature of peristaltic walls. Enhancing the viscoelastic effects and concentration of nanoparticles results in reduction of magnitude of the pressure gradient. Heat transfer of hybrid fluid is larger in steady state flow as compared to the unsteady state. The heat source/sink parameter has remarkable impacts on enhancement of heat transfer phenomena of viscoelastic hybrid fluid. Applications The present investigation is relevant to electromagnetic hybrid liquid micropump manufactures and emerging nano-physiological technologies.