Blood flow of nanofluid through an artery with composite stenosis and permeable walls

被引:0
作者
R. Ellahi
S. U. Rahman
S. Nadeem
N. S. Akbar
机构
[1] Bourns Hall A 373,Department of Mechanical Engineering
[2] University of California,Department of Mathematics and Statistics
[3] Riverside,Department of Mathematics
[4] FBAS,undefined
[5] IIU,undefined
[6] Quaid-i-Azam University,undefined
[7] DBS&H,undefined
[8] CEME,undefined
[9] National University of Sciences and Technology,undefined
来源
Applied Nanoscience | 2014年 / 4卷
关键词
Blood flow; Nanofluid; Artery with composite stenosis; Permeable walls;
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中图分类号
学科分类号
摘要
This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls. The highly nonlinear momentum equations of nanofluid model are simplified by considering the mild stenosis case. Temperature and nanoparticle equations are coupled; so, we use homotopy perturbation method to calculate the solution of temperature and nanoparticle equations, while the exact solution has been calculated for velocity profile. Also, the expressions for flow impedance, pressure gradient and stream function are computed. These solutions depend on Brownian motion number Nb, thermophoresis number Nt, local temperature Grashof number Gr and local nanoparticle Grashof number Br. The effects of various emerging parameters are discussed through graphs for different values of interest.
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页码:919 / 926
页数:7
相关论文
共 26 条
[1]  
Hameed M(2011)Thin film flow of non-Newtonian MHD fluid on a vertically moving belt Int J Numer Methods Fluids 66 1409-1419
[2]  
Ellahi R(2012)Influence of heat and chemical reactions on blood flow through an anisotropically tapered elastic arteries with overlapping stenosis Appl Math Inf Sci 6 281-292
[3]  
Mekheimer KH(2012)Mathematical modelling of unsteady flow of a Sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis J Appl Math Model 36 5393-5407
[4]  
Haroun MH(2011)Blood flow through a composite stenosis in an artery with permeable wall Appl Appl Math 6 1798-1813
[5]  
El kot MA(2011)Power law fluid model for blood flow through a tapered artery with stenosis Appl Math Comput 217 7108-7116
[6]  
Mekheimer KH(2009)Influence of heat transfer on peristaltic transport of Herschel–Bulkley fluid in a non uniform inclined tube Comm Non Sci Numer Simul 14 4100-4113
[7]  
El kot MA(2008)Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics Appl Math Comput 1 212-230
[8]  
Mishra S(2011)On arterial blood flow in the presence of an overlapping stenosis Math Comp Model 54 2999-3006
[9]  
Siddiqui SU(1998)The Rayleigh–Taylor mode with sheared plasma flows Physica Scripta 57 286-289
[10]  
Medhavi A(2012)A mathematical study on three layered oscillatory blood flow through stenosed arteries J Bionic Eng 9 119-131