Finite element analysis of double-diffusive natural convection in a porous triangular enclosure filled with Al2O3-water nanofluid in presence of heat generation

被引:20
作者
Chowdhury, Raju [1 ,2 ]
Parvin, Salma [2 ]
Khan, Md Abdul Hakim [2 ]
机构
[1] Stamford Univ Bangladesh, Dept Nat Sci, Room A-119,51 Siddeswari Rd, Dhaka 1217, Bangladesh
[2] Bangladesh Univ Engn & Technol, Dept Math, Dhaka 1000, Bangladesh
来源
HELIYON | 2016年 / 2卷 / 08期
关键词
Computational mathematics; Engineering and thermodynamics;
D O I
10.1016/j.heliyon.2016.e00140
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The problem of double-diffusive natural convection of Al2O3-water nanofluid in a porous triangular enclosure in presence of heat generation has been studied numerically in this paper. The bottom wall of the cavity is heated isothermally, the left inclined wall is non-isothermal and the right inclined wall is considered to be cold. The concentration is higher at bottom wall, lower at right inclined wall and nonisoconcentration at left inclined wall of the cavity. The governing equations are transformed to the dimensionless form and solved numerically using Galerkin weighted residual technique of finite element method. The results are obtained in terms of streamlines, isotherms, isoconcentrations, average Nueeslt number (Nu) and average Sherwood number (Sh) for the parameters thermal Rayleigh number (Ra-T), dimensionless heat generation parameter (lambda), solid volume fraction (phi) and Lewis number (Le) while Prandtl number (Pr), Buoyancy ratio (N) and Darcy number (Da) are considered to be fixed. It is observed that flow pattern, temperature fields and concentration fields are affected by the variation of above considered parameters.
引用
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页数:20
相关论文
共 30 条
[1]   Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids [J].
Abu-Nada, E. ;
Masoud, Z. ;
Hijazi, A. .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2008, 35 (05) :657-665
[2]   NATURAL-CONVECTION IN AN EXTERNALLY HEATED VERTICAL OR INCLINED SQUARE BOX CONTAINING INTERNAL ENERGY-SOURCES [J].
ACHARYA, S ;
GOLDSTEIN, RJ .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (04) :855-865
[3]   Natural Convection in Triangular Enclosures Filled with Nanofluid Saturated Porous Media [J].
Ahmed, Sameh E. ;
Rashad, A. M. ;
Gorla, Rama Subba Reddy .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2013, 27 (04) :700-706
[4]   ON NATURAL-CONVECTION IN VERTICAL POROUS ENCLOSURES DUE TO PRESCRIBED FLUXES OF HEAT AND MASS AT THE VERTICAL BOUNDARIES [J].
ALAVYOON, F .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (10) :2479-2498
[5]  
Bejan A., 1985, International Journal of Heat and Fluid Flow, V6, P149, DOI 10.1016/0142-727X(85)90002-5
[6]  
Bird R. B., 1960, TRANSPORT PHENOMENA
[7]   THE VISCOSITY OF CONCENTRATED SUSPENSIONS AND SOLUTIONS [J].
BRINKMAN, HC .
JOURNAL OF CHEMICAL PHYSICS, 1952, 20 (04) :571-571
[8]  
Chowdhury R., 2015, INT J ENERGY TECHNOL, V7, P49
[9]  
Chowdhury R, 2015, SPEC TOP REV POROUS, V6, P353
[10]  
Esfahani J. A., 2011, J NANOTEC ENG MED, V2