Theoretical study of an unsteady ciliary hemodynamic fluid flow subject to the Newton’s boundary conditions

• Published in: Advances in mechanical engineering Vol. 13; no. 8
• Main Authors: Nazeer, Mubbashar, Hussain, Farooq, Ahmad, Fayyaz, Iftikhar, Sadia, Subia, Gener S
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.08.2021; Sage Publications Ltd; SAGE Publishing
• Subjects: Boundary conditions; Chemotherapy; Fluid dynamics; Fluid flow; Heat transfer; Hemodynamics; Mass transfer; Mathematical analysis; Nanofluids; Nanoparticles; Newtonian fluids; Non Newtonian fluids; Nonlinear differential equations; Porous media; Newton’s boundary conditions; drug therapy; methachronal wave; porous medium; Ciliary motion
• ISSN: 1687-8132; 1687-8140; 1687-8140
• DOI: 10.1177/16878140211040462

This article addresses the hemodynamic flow of biological fluid through a symmetric channel. Methachronal waves induced by the ciliary motion of motile structures are the main source of Couple stress nanofluid flow. Darcy’s law is incorporated in Navier-Stokes equations to highlight the influence of the porous medium. Thermal transport by the microscopic collision of particles is governed by Fourier’s law while a separate expression is obtained for net diffusion of nanoparticles by using Fick’s law. A closed-form solution is achieved of nonlinear differential equations subject to Newton’s boundary conditions. Moreover, the current findings are compared with previous outcomes for the limiting case and found a complete coherence. Parametric study reveals that nanoflow is resisted by employing Newton’s boundary conditions. Thermal profile enhancement is contributed by the viscous dissipation parameter. Finally, one infers that hemodynamic flow of non-Newtonian fluid is an effective mode of heat and mass transfer especially, in medical sciences for the rapid transport of medicines in drug therapy.