Slip analysis with thermally developed peristaltic motion of nanoparticles under the influence of variable viscosity in vertical configuration

Abstract

The aim of this paper is to present the analytical investigation on the peristaltic propulsion of an incompressible nanomaterial fluid passing through a two-dimensional symmetric channel. The stream flow comprises temperature dependent viscosity under the influence of mixed convection, heat transfer, temperature jump and velocity slip effects. Keeping pure water as the base fluid and using Silicon dioxide, Silver and Copper oxide as the selected nanoparticles, examination is carried out for the peristaltic transportation which has countless industrial appliances. Under the assumption of long wavelength and low Reynolds number, physical parameter effects on the exact solution established under physical boundary conditions for axial velocity, temperature profile, pumping characteristics and the trapping phenomenon are developed graphically and addressed in brief. Acquired solutions are employed to describe the influence of various emerging parameters on significant occurrences related to peristaltic propagation. The results we came across are that the axial flow velocity shows converse variations in the central part and around the walls of the channel, whereas heat transfer and thermal slip parameter increase shows rise in fluid temperature. Moreover, bolus trapping for increasing velocity slip brings improvement in both size and number for all nanoliquid particles CuO, SiO2, Ag and base fluid, whereas for rising thermal slip $ \gamma$ value, a decline in bolus size for all nonofluids occurs. However, pure water shows increment in size and number. A relative study is also reconnoitered for CuO, SiO2, Ag nanofluids and pure water.