Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow

被引:92
|
作者
Prakash, J. [1 ]
Tripathi, Dharmendra [2 ]
Tiwari, Abhishek Kumar [3 ]
Sait, Sadiq M. [4 ]
Ellahi, Rahmat [5 ,6 ]
机构
[1] Avvaiyar Govt Coll Women, Dept Math, Karaikal 609602, Puducherry Ut, India
[2] Natl Inst Technol, Dept Math, Uttarakhand 246174, India
[3] MNNIT Allahabad, Dept Appl Mech, Prayagraj 211004, Uttar Pradesh, India
[4] King Fahd Univ Petr & Minerals, Res Inst, Ctr Commun & It Res, Dhahran 31261, Saudi Arabia
[5] King Fahd Univ Petr & Minerals, Res Inst, Ctr Modeling & Comp Simulat, Dhahran 31261, Saudi Arabia
[6] Int Islamic Univ IIUI, Dept Math & Stat, Fac Basic & Appl Sci, Islamabad 44000, Pakistan
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 07期
关键词
peristaltic transport; tapered channel; porous medium; smart pumping for hemodialysis; thermal radiation; TEMPERATURE-DEPENDENT VISCOSITY; THERMAL-RADIATION; IONIC NANOLIQUIDS; JEFFREY NANOFLUID; RECTANGULAR DUCT; MASS-TRANSFER; TRANSPORT; FLUID; MODEL; NANOPARTICLES;
D O I
10.3390/sym11070868
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
In this study, we present an analytical study on blood flow analysis through with a tapered porous channel. The blood flow was driven by the peristaltic pumping. Thermal radiation effects were also taken into account. The convective and slip boundary conditions were also applied in this formulation. These conditions are very helpful to carry out the behavior of particle movement which may be utilized for cardiac surgery. The tapered porous channel had an unvarying wave speed with dissimilar amplitudes and phase. The non-dimensional analysis was utilized for some approximations such as the proposed mathematical modelling equations were modified by using a lubrication approach and the analytical solutions for stream function, nanoparticle temperature and volumetric concentration profiles were obtained. The impacts of various emerging parameters on the thermal characteristics and nanoparticles concentration were analyzed with the help of computational results. The trapping phenomenon was also examined for relevant parameters. It was also observed that the geometric parameters, like amplitudes, non-uniform parameters and phase difference, play an important role in controlling the nanofluids transport phenomena. The outcomes of the present model may be applicable in the smart nanofluid peristaltic pump which may be utilized in hemodialysis.
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页数:25
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