Homotopy Simulation of Nonlinear Unsteady Rotating Nanofluid Flow from a Spinning Body

Abstract

The development of new applications of nanofluids in chemical engineering and other technologies has stimulated significant interest in computational simulations. Motivated by coating applications of nanomaterials, we investigate the transient nanofluid flow from a time-dependent spinning sphere using laminar boundary layer theory. The free stream velocity varies continuously with time. The unsteady conservations equations are normalized with appropriate similarity transformations and rendered into a ninth-order system of nonlinear coupled, multidegree ordinary differential equations. The transformed nonlinear boundary value problem is solved using the homotopy analysis method (HAM), a semicomputational procedure achieving fast convergence. Computations are verified with an Adomian decomposition method (ADM). The influence of acceleration parameter, rotational body force parameter, Brownian motion number, thermophoresis number, Lewis number, and Prandtl number on surface shear stress, heat, and mass (nanoparticle volume fraction) transfer rates is evaluated. The influence on boundary layer behavior is also investigated. HAM demonstrates excellent stability and leads to highly accurate solutions.

Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena From an Isothermal Sphere

“…Chamkha et al (2010) analyzed the natural convection past a sphere embedded in a non-Darcy porous medium saturated by a nanofluid. Bég et al (2015) derived both homotopy and Adomian decomposition numerical solutions for transient stagnation-point heat and mass transfer from a rotating sphere.…”

Influence of variable viscosity and thermal conductivity, hydrodynamic, and thermal slips on magnetohydrodynamic micropolar flow: A numerical study

“…An advantage of this method is that it can provide analytical approximation or an approximated solution to a wide class of nonlinear equations without linearization, perturbation closure approximation or discretization methods. ADM has gained popularity in modern engineering sciences and has been used for simulation of Newtonian flows, Sisko non‐Newtonian thin film flows, biomagnetic orthopedic lubrication flows, micropolar channel hydrodynamics in channels, entropy minimization in micropolar flow, pulsatile micropolar flow, and stagnation‐point rotating nanofluid flows . ADM deploys an infinite series solution for the unknown functions and utilizes recursive relations.…”

“…The components , and are usually obtained recursively by an appropriate relation, as elaborated further by Bég et al The resulting decomposition series converges very quickly, and relatively few terms are needed to achieve high accuracy. The comparison between shooting and ADM solutions for selected values of certain parameters is shown in Figures B (temperature), A (velocity), and B (couple stress).…”

Mathematical model for ciliary-induced transport in MHD flow of Cu-H 2 O nanofluids with magnetic induction

“…Further investigations of nanofluids in biomedical applications include Anghel and Grumezescu [9] who have demonstrated the excellent bacterial adherence (biofilm) inhibiting characteristics of nanofluid oils in the smart design of novel material surfaces for prosthetic devices. Other analytical articles considering nanofluid dynamics in medicine include Ebaid and Aly [10] for peristaltic flows, Akbar et al [11] for curved tube peristaltic transport of copper nanofluids, Saurin et al [12] for ionic nanofluid bio-lubrication systems (hip joints), Bég et al [13] for swirling mixing systems in nano-biopolymers and very recently Uddin et al [14] for gyrotactic bioconvection in slip Sakiadis flows of nano-polymer sheet manufacturing processes. In the context of cilia hydrodynamics, several studies addressing nanofluid transport have also been communicated.…”