Thermal investigation of peristaltic pumping of modified hybrid nanofluid ( A l 2 O 3 − T i O 2 − C u ) / H 2 O ) through a complex wavy convergent channel with electro-magneto-hydrodynamic phenomenon

Abstract

This research analytically investigates the mathematical study of unsteady peristaltic motion of a modified hybrid nanofluid (containing dissimilar nanoparticles) in a convergent channel. This flow of modified hybrid nanofluids is controlled by the combined effects of magnetic and electric devices. In the current analysis, hybrid fluid with three distinct nano particles (titania oxide, alumina oxide and copper metallic nanoparticles) are considered to observe the performance of hybrid nanofluids along with water as a base fluid. The flow analysis is carried out under creeping phenomena and long wavelength approximations. Additionally, this mathematical invention is intended to examine the transport phenomena of biological fluids through the large to the small intestine. The Debye-Hückel theory (i.e. wall zeta potential ≤ 25 mV) is also used to remove the non-linearity of the Poisson-Boltzmann equation, which is assumed to become a simplified model of an electrolyte solution. The close-formed solutions are obtained for a system of non-dimensional boundary value problem. The effects of the physical parameters on the rheological phenomena are depicted graphically using Mathematica 11 software. Applications of the mathematical model include transport of complex biological fluids and control the transportation of fluids by using electro-kinetic modulate devices. Additionally, this study is productive to design a complex peristaltic pump which is used to control the motion of bio-fluids.