Advances in Nano Research

Volume 13, Number 1, 2022, pages 77-86

DOI: 10.12989/anr.2022.13.1.077

Maxwell nanofluid flow through a heated vertical channel with peristalsis and magnetic field

Z. M. Gharsseldien and A.S. Awaad

Abstract

This paper studied the peristaltic transport of upper convected Maxwell nanofluid through a porous medium in a heated (isothermal) symmetric vertical channel. The nanofluid is assumed to be electrically conducting in the presence of a uniform magnetic field. These phenomena are modeled mathematically by a differential equations system by taking low Reynolds number and long-wavelength approximation, the yield differential equations have solved analytically. A suggested new technique to display and discuss the trapping phenomenon is presented. We discussed and analyzed the pumping characteristics, heat function, flow velocity and trapping phenomena which were illustrated graphically through a set of figures for various values of parameters of the problem. The numerical results show that, there are remarkable effects on the vertical velocity, pressure gradient and trapping phenomena with the thermal change of the walls.

Key Words

heated channel; magnetic field; peristalsis; upper-convected maxwell nanofluid

Address

Z. M. Gharsseldien: Department of Mathematics, Faculty of Science (Men), Al-Azhar University, Nasr City,11884, Cairo, Egypt A.S. Awaad: Department of Mathematics, College of Arts and Science, Prince Sattam Bin Abdul-Aziz University, 054-11991 Wadi Adwassir, Riyadh, Saudi Arabia/ Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City,11754, Cairo, Egypt