Thermal Flux and Magnetic Field Effects on Nano-fluids Over Shrinking/ Stretching Sheet

Authors

  • Emad M. Abo-Eldahab Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt.
  • Rasha Adel Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt.
  • M. Abdelhakem Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt. / Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt.
  • Fatma M. Diab Basic Science Department, Modern Academy for Engineering and Technology, Maddi, Egypt.

Keywords:

nanofluids, stagnation-point flow, Grashof number, magnetic field, stretching / shrinking sheet

Abstract

The motivation for studying nanofluid behavior under the influence of various external forces stems from its numerous applications in a variety of engineering industries. This paper focuses on the effect of a magnetic field and heat flux on a Shrinking / Stretching Sheet in a base fluid. Nonlinear partial differential equations (PDEs) are reduced to nonlinear ordinary differential equations (ODEs) via a
similarity transformation, which are then numerically solved for two types of nanoparticles, namely copper and alumina, in the water-based fluid using the shooting technique. Considering the steady two-dimensional stagnation-point flow of a water-based nanofluid over a stretching/shrinking sheet. For some of the governing parameters of Grashof number (Gr), magnetic field (M), Prandtl number
(Pr), and volume fraction ( ), the velocity and temperature profiles were presented graphically and thoroughly discussed. It found that magnetic parameters and Grashof number solutions for a shrinking/stretching sheet increase velocity while decreasing temperature.

Downloads

Published

2022-08-10

Issue

Vol. 11 No. 3 (2022): csi july-september 2022

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.