Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface

被引:10
作者
Kolsi, Lioua [1 ]
Hussain, Shafqat [2 ]
Ghachem, Kaouther [3 ]
Jamal, Muhammad [4 ]
Maatki, Chemseddine [5 ,6 ]
机构
[1] Univ Hail, Coll Engn, Mech Engn Dept, Hail 81451, Saudi Arabia
[2] Capital Univ Sci & Technol, Dept Math, Islamabad 44000, Pakistan
[3] Princess Nourah Bint Abdulrahman Univ, Coll Engn, Dept Ind Engn & Syst, Riyadh 11671, Saudi Arabia
[4] PMAS Arid Agr Univ, Dept Math & Stat, Rawalpindi 46300, Pakistan
[5] Imam Mohammad Ibn Saud Islamic Univ, Coll Engn, Dept Mech Engn, Riyadh 11432, Saudi Arabia
[6] Univ Monastir, Lab Metrol & Energy Syst, Monastir 5000, Tunisia
关键词
non-Newtonian fluid; layers; double diffusive; natural convection; FEM; NON-NEWTONIAN FLUID; ENTROPY GENERATION; THERMOSOLUTAL CONVECTION; SIMULATION; NANOFLUID; ENCLOSURE; HEAT; FLOW; TEMPERATURE; CHANNEL;
D O I
10.3390/math10071060
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This study deals with the influence of a wavy interface separating two layers filled with power law fluid and porous media, respectively. The governing equations are solved using the Finite Element Method (FEM) and the numerical model is validated by comparing with experimental findings. The parameters governing the studied configuration are varied as: Rayleigh number (10(3) <= Ra <= 10(6)), power law index (0.6 <= n <= 1.4), Darcy number (10(-2) <= Da <= 10(-6)), buoyancy ratio (0.1 <= N <= 10) and Lewis number (1 <= Le <= 10). It is inferred that the temperature gradient increases by augmenting the Rayleigh number, as the flow is observed from the vertical to horizontal direction in both layers. Constant enhancement in the heat and mass transfer is also observed by enriching the buoyancy effect. Moreover, the average Nusselt and Sherwood numbers decline by increasing the width of the porous layer.
引用
收藏
页数:18
相关论文
共 40 条
[1]   The effect of the local inertial term on the fluid flow in channels partially filled with porous material [J].
Abu-Hijleh, BA ;
Al-Nimr, MA .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2001, 44 (08) :1565-1572
[2]   Convective heat transfer in a channel partially filled with a porous medium [J].
Aguilar-Madera, Carlos G. ;
Valdes-Parade, Francisco J. ;
Goyeau, Benoit ;
Alberto Ochoa-Tapia, J. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2011, 50 (08) :1355-1368
[3]   One-domain approach for heat transfer between a porous medium and a fluid [J].
Aguilar-Madera, Carlos G. ;
Valdes-Parada, Francisco J. ;
Goyeau, Benoit ;
Ochoa-Tapia, J. Alberto .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (9-10) :2089-2099
[4]   Effects of non-uniform porosity on double diffusive natural convection in a porous cavity with partially permeable wall [J].
Akbal, Sevgi ;
Baytas, Filiz .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2008, 47 (07) :875-885
[5]   Effects of Prandtl Number on Natural Convection in a Cavity Filled with Silver/Water Nanofluid-Saturated Porous Medium and Non-Newtonian Fluid Layers Separated by Sinusoidal Vertical Interface [J].
Al-Amir, Qusay R. ;
Ahmed, Saba Y. ;
Hamzah, Hameed K. ;
Ali, Farooq H. .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2019, 44 (12) :10339-10354
[6]   Effects of linearly heated left wall on natural convection within a superposed cavity filled with composite nanofluid-porous layers [J].
Al-Srayyih, Basil Mahdi ;
Gao, Shian ;
Hussain, Salam Hadi .
ADVANCED POWDER TECHNOLOGY, 2019, 30 (01) :55-72
[7]   Analysis of bio-convective MHD Blasius and Sakiadis flow with Cattaneo-Christov heat flux model and chemical reaction [J].
Ali, Liaqat ;
Ali, Bagh ;
Liu, Xiaomin ;
Ahmed, Shehzad ;
Shah, Murad Ali .
CHINESE JOURNAL OF PHYSICS, 2022, 77 :1963-1975
[8]   Natural Convection Flow of a Nanofluid in an Inclined Square Enclosure Partially Filled with a Porous Medium [J].
Alsabery, A. I. ;
Chamkha, A. J. ;
Saleh, H. ;
Hashim, I. .
SCIENTIFIC REPORTS, 2017, 7
[9]   Heatline visualization of natural convection in a trapezoidal cavity partly filled with nanofluid porous layer and partly with non-Newtonian fluid layer [J].
Alsabery, A. I. ;
Chamkha, A. J. ;
Hussain, S. H. ;
Saleh, H. ;
Hashim, I. .
ADVANCED POWDER TECHNOLOGY, 2015, 26 (04) :1230-1244
[10]   Inclination Angle Effect on Natural Convection in a Square Cavity Partially Filled with Non-Newtonian Fluids Layer [J].
Alsabery, Ammar I. ;
Hussain, Salam H. ;
Saleh, Habibis ;
Hashim, Ishak .
2015 UKM FST POSTGRADUATE COLLOQUIUM, 2015, 1678