Numerical study on mixed convective flow of water-based magnetite nanofluid through a wavy channel containing porous blocks under the effect of an oscillating magnetic field,ZAMM - Journal of Applied Mathematics and Mechanics

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Numerical study on mixed convective flow of water-based magnetite nanofluid through a wavy channel containing porous blocks under the effect of an oscillating magnetic field
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-03 , DOI: 10.1002/zamm.202000254
Victor M. Job ₁ , Sreedhara Rao Gunakala ₁

Affiliation

In this paper, the convective flow of magnetite (Fe₃O₄)-water nanofluid through a wavy channel containing porous blocks in the presence of a non-uniform oscillating magnetic field with magnetohydrodynamic (MHD) and ferrohydrodynamic (FHD) effects is considered. This magnetic field is produced by two current-carrying wires, which are placed at fixed positions on the outside of the channel. In the present study, we use a two-phase model that considers the effects of thermophoresis and Brownian motion on the concentration of nanoparticles within the fluid. The associated system of partial differential equations is solved using the mixed finite element method with

P_{2} - P_{1}

Taylor-Hood elements and the effects of time t, Strouhal number

S t

, Hartmann number

H a

, magnetic number

M n

, solid volume fraction ϕ₀, nanoparticle diameter

d_{s}

on the fluid flow, heat transfer, concentration distribution and pressure drop within the channel are investigated.

中文翻译：

振荡磁场作用下水基磁铁矿纳米流体通过多孔块波状通道混合对流流动的数值研究

在本文中，考虑了磁铁矿 (Fe ₃ O ₄ )-水纳米流体在具有磁流体力学 (MHD) 和铁流体力学 (FHD) 效应的非均匀振荡磁场存在下通过包含多孔块的波状通道的对流流动。该磁场由两根载流导线产生，它们放置在通道外侧的固定位置。在本研究中，我们使用了一个两相模型，该模型考虑了热泳和布朗运动对流体中纳米粒子浓度的影响。使用混合有限元方法求解相关的偏微分方程组