Existence of boundary layer nanofluid flow through a divergent channel in porous medium with mass suction/injection

被引:23
作者
Verma, Ajeet Kumar [1 ]
Gautam, Anil Kumar [1 ]
Bhattacharyya, Krishnendu [1 ]
Sharma, R. P. [2 ]
机构
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, India
[2] Natl Inst Technol, Dept Basic & Appl Sci, Yupia 791112, India
来源
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 2021年 / 46卷 / 02期
关键词
Existence of boundary layer; Nanofluid; Divergent channel; Porous medium; Mass suction/injection;
D O I
10.1007/s12046-021-01588-2
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The steady two-dimensional, laminar, viscous, incompressible boundary layer flow of Cu/Ag-H2O nanofluid in a diverging channel formed by two non-parallel walls in a Darcian porous medium is numerically studied in the presence of mass suction/injection of equal magnitude on both the walls. Here, divergent flow is generated by a line source of fluid volume at the intersection of channel walls. Using similarity transformations, the non-linear governing PDEs are transformed into self-similar coupled non-linear ODEs and they are solved numerically with the help of MATLAB-built solver ''bvp4c''. The conditions for the existence of boundary layer flow structure for nanofluid through divergent channel in porous medium are obtained. The analysis reveals that when the permeability parameter K and nanofluid-volume-fraction-related parameter phi(1) are chosen in a specific manner such that they satisfy the condition K > 2 phi(1) then boundary layer flow exists, preventing separation for any mass suction/injection or even in the absence of mass suction/injection. A similar velocity field rises with permeability parameter, which exhibits opposite behavior with nanoparticle volume fraction. Also temperature increases with nanoparticle volume fraction, permeability parameter, and Eckert number, and decreases with power-law exponent (related to variable wall temperature). Skin-friction coefficient and heat transfer rate for Cu-water nanofluid are stronger when compared with Ag-water nanofluid.
引用
收藏
页数:10
相关论文
共 32 条
[1]   Analytical and numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels [J].
Adnan ;
Asadullah, M. ;
Khan, Umar ;
Ahmed, Naveed ;
Mohyud-Din, Syed Tauseef .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 224 :768-775
[2]   Heat Transfer Analysis of Nanofluid Flow with Porous Medium through Jeffery Hamel Diverging/Converging Channel [J].
Akinshilo, Akinbowale T. ;
Ilegbusi, Adeleke ;
Ali, Hafiz M. ;
Surajo, Abdul-Jalil .
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2020, 6 (03) :433-444
[3]   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
[4]   MHD copper-water nanofluid flow and heat transfer through convergent-divergent channel [J].
Azimi, Mohammadreza ;
Riazi, Rouzbeh .
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2016, 30 (10) :4679-4686
[5]   MHD Boundary Layer Flow of Dilatant Fluid in a Divergent Channel with Suction or Blowing [J].
Bhattacharyya, Krishnendu ;
Layek, G. C. .
CHINESE PHYSICS LETTERS, 2011, 28 (08)
[7]  
Choi S U S., 1995, ASME INTMECHENG, V231, P99
[8]  
Dean WR, 1934, PHILOS MAG, V18, P759
[9]   Investigation of MHD nanofluid flow and heat transfer in a stretching/shrinking convergent/divergent channel considering thermal radiation [J].
Dogonchi, A. S. ;
Ganji, D. D. .
JOURNAL OF MOLECULAR LIQUIDS, 2016, 220 :592-603
[10]   Investigation of thermal radiation on traditional Jeffery-Hamel flow to stretchable convergent/divergent channels [J].
Gerdroodbary, M. Barzegar ;
Takami, M. Rahimi ;
Ganji, D. D. .
CASE STUDIES IN THERMAL ENGINEERING, 2015, 6 :28-39