Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanoßuids with magnetic induction

Akbar, NS; Tripathi, D; Khan, ZH; Beg, OA

Abstract

Motivated by novel developments in surface-modified, nanoscale, magnetohydrodynamic (MHD) biomedical devices, we study theoretically the ciliary induced transport by metachronal
wave propagation in hydromagnetic flow of copper-water nanofluids through a parallel plate channel. Under the physiological constraints, creeping flow is taken into consideration i.e. inertial forces are small compared with viscous forces. The metachronal wavelength is also considered as very large for cilia induced MHD flow. Magnetic Reynolds number is sufficiently
large to invoke magnetic induction effects. The physical problem is linearized and exact solutions are developed for the resulting boundary value problem. Closed-form expressions are
presented for the stream function, pressure rise, induced magnetic field function and temperature. Mathematica symbolic software is used to compute and illustrate numerical results. The
influence of physical parameters on velocity profile, pressure gradient and trapping of bolus are discussed with the aid of graphs. The present computations are applicable to simulations of flow control of in nano-magneto-biomimetic technologies.

Citation

Akbar, N., Tripathi, D., Khan, Z., & Beg, O. (2017). Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanoßuids with magnetic induction. Chinese Journal of Physics, 55(3), 947-962. https://doi.org/10.1016/j.cjph.2017.03.005

• Journal Article Type: Article
• Acceptance Date: Mar 12, 2017
• Online Publication Date: Mar 23, 2017
• Publication Date: Jun 1, 2017
• Deposit Date: Mar 28, 2017
• Publicly Available Date: Mar 28, 2017
• Journal: Chinese Journal of Physics
• Print ISSN: 0577-9073
• Publisher: Elsevier
• Volume: 55
• Issue: 3
• Pages: 947-962
• DOI: https://doi.org/10.1016/j.cjph.2017.03.005
• Publisher URL: http://dx.doi.org/10.1016/j.cjph.2017.03.005
• Related Public URLs: https://www.journals.elsevier.com/chinese-journal-of-physics