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

被引:13
作者
Geridonmez, Bengisen Pekmen [1 ]
机构
[1] TED Univ, Dept Math, Ziya Gokalp Caddesi 47-48, TR-06420 Ankara, Turkey
来源
AIMS MATHEMATICS | 2018年 / 3卷 / 01期
关键词
ferrofluid; porous media; natural convection; radial basis functions; multiquadrics; magnetic source; HEAT-TRANSFER; UTILIZING NANOFLUIDS; ENTROPY GENERATION; NATURAL-CONVECTION; POROUS ENCLOSURE;
D O I
10.3934/Math.2018.1.195
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, natural convection in a porous, ferrofluid-filled cavity is numerically investigated utilizing 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 taken into 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 porous medium, solid volume fraction and Rayleigh number. At a small Rayleigh number, the average Nusselt number enhances with the augmentation of magnetic number.
引用
收藏
页码:195 / 210
页数:16
相关论文
共 22 条
[1]   Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field [J].
Aminfar, H. ;
Mohammadpourfar, M. ;
Zonouzi, S. Ahangar .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2013, 327 :31-42
[2]  
[Anonymous], 2015, Kernel-based approximation methods using Matlab.
[3]   THE VISCOSITY OF CONCENTRATED SUSPENSIONS AND SOLUTIONS [J].
BRINKMAN, HC .
JOURNAL OF CHEMICAL PHYSICS, 1952, 20 (04) :571-571
[4]  
Choi S. U. S., 1995, ASME MECH ENG C EXP
[5]  
Fasshauer G.E., 2007, Meshfree Approximations Methods with Matlab
[6]  
Garnett J.C. M., 1904, PHILOS T R SOC LON A, V203, P385, DOI DOI 10.1098/RSTA.1904.0024
[7]   RBF simulation of natural convection in a nanofluid-filled cavity [J].
Geridonmez, Bengisen Pekmen .
AIMS MATHEMATICS, 2016, 1 (03) :195-207
[8]   Heat transfer characteristics of Fe3O4 ferrofluid flowing in a mini channel under constant and alternating magnetic fields [J].
Ghasemian, M. ;
Ashrafi, Z. Najafian ;
Goharkhah, M. ;
Ashjaee, M. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 381 :158-167
[9]  
Gschwendtner MA, 2004, HEAT MASS TRANSFER, V40, P551, DOI 10.1007/S00231-003-0437-9
[10]   KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel [J].
Kandelousi, Mohsen Sheikholeslami .
PHYSICS LETTERS A, 2014, 378 (45) :3331-3339