Numerical investigation of ferrofluid convection with Kelvin forces and non-Darcy effects

AIMS Mathematics

Bengisen Pekmen Geridönmez¹ 

[1] Department of Mathematics, TED University, Ziya Gokalp Caddesi, No:47–48, 06420, Kolej-Cankaya, Ankara, Turkey;

关键词: ferrofluid| porous media| natural convection| radial basis functions| multiquadrics| magnetic source;   

DOI  :  10.3934/Math.2018.1.195

来源: DOAJ

【 摘 要 】

In this study, natural convection in a porous, ferrofluid-filled cavity is numerically investigatedutilizing the multiquadric (MQ) radial basis function (RBF) based pseudo spectral (PS) method.The influence of Kelvin forces, Brinkman and Forchheimer terms and a magnetic source is also takeninto account. Results reveal that convective heat transfer is inhibited with the rise of Hartmann number,and with the decrease in Darcy number while it is enhanced with the increase in porosity of the porousmedium, solid volume fraction and Rayleigh number. At a small Rayleigh number, the average Nusseltnumber enhances with the augmentation of magnetic number.

【 授权许可】

Unknown