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.
Highlights
Nanofluids continue to stimulate significant interest in modern engineering and medical sciences [1]
Initially nanofluid dynamics research concentrated on quantification of fundamental thermophysical properties of nanofluids, over the past few years the focus has become increasingly orientated towards modelling and simulation
homotopy analysis method (HAM) is executed in a symbolic code to investigate the influence of the following five control parameters for the present nonlinear boundary value problem, namely, Le (Lewis number), A (acceleration parameter), Nb (Brownian motion parameter), nanofluids. Greater thermophoresis (Nt), and λ
Summary
Nanofluids continue to stimulate significant interest in modern engineering and medical sciences [1]. Initially nanofluid dynamics research concentrated on quantification of fundamental thermophysical properties of nanofluids (including thermal conductivity, density, viscosity, and heat transfer coefficient), over the past few years the focus has become increasingly orientated towards modelling and simulation. International Journal of Engineering Mathematics schemes [22], Keller box implicit methods [23], Mathematica integration subroutines [24], Blottner difference methods [25], and dual reciprocity boundary element methods [26] These studies have generally examined Brownian motion and thermophoresis effects for various nanoparticle suspensions and considered two-dimensional boundary layer, channel, and cavity flows. External flows from spinning bodies are significant in many branches of chemical and industrial engineering including electrolysis treatments [27] and polymer deposition on components [28] In such systems the rotation strongly influences boundary layer growth and structure on the body periphery. This work is relevant to coating applications in the polymeric industry
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