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

Abstract

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.

Impact of slip boundary conditions, magnetic force, and porous medium on blood flow of Jeffrey fluid

“…To convert them into steady form, another frame of reference is used, which is known as a wave frame. According to this, the corresponding transformation for conversion from laboratory frame to wave frame is [34–36] $$\begin{equation}\widetilde {\widetilde x} = \widetilde x - c\widetilde t,\quad \widetilde {\widetilde y} = \widetilde y,\quad \tilde {\tilde w} = \tilde w - c,\quad \widetilde {\widetilde v} = \widetilde v,\quad \tilde {\tilde p}(\widetilde {\widetilde x}) = \tilde p(\widetilde x,\widetilde t)\end{equation}$$…”

“…To convert them into steady form, another frame of reference is used, which is known as a wave frame. According to this, the corresponding transformation for conversion from laboratory frame to wave frame is [34][35][36] x = x − 𝑐 t, ỹ = ỹ, w = w − 𝑐, ṽ = ṽ, p( x) = p(x, t)…”

Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method

“…Many nonlinear phenomena are major parts of applied research and engineering [25][26][27][28][29][30][31][32][33][34][35][36][37] . Nonlinear equations of fractional order have been found in a variety of real-world problems.…”

Mass Transfer Effects on the Mucus Fluid with Pulsatile Flow Influence of the Electromagnetic Field

“…An entropy examination of the flow was also conducted in the wave frame. The mechanical flow of the biomolecule through some homogeneous conduit was studied by Nazeer et al [16]. Couple stress nanofluid flow is mainly caused by metachronal waves created by the ciliary movement of flagellated components.…”