磁场和Hall电流对狭窄动脉中血液流动的影响

Kh·S·梅克赫默; M·A·El·科特

磁场和Hall电流对狭窄动脉中血液流动的影响

Kh·S·梅克赫默¹,
M·A·El·科特²

1.
阿扎大学理学院数学系,纳什城 11884,开罗,埃及;2.苏伊士运河大学教育学院数学系,苏伊士,埃及

详细信息

中图分类号: O361.3;O361.4;Q66
计量
- 文章访问数: 2730
- HTML全文浏览量: 97
- PDF下载量: 647
- 被引次数: 0
出版历程
- 收稿日期: 2007-03-22
- 修回日期: 2008-06-06
- 刊出日期: 2008-08-15

Magnetic Field and Hall Currents Influences on Blood Flow Through a Stenotic Artery

Kh. S. Mekheimer¹,
M. A. El Kot²

1.
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt;

摘要

摘要: 对一个水平向不对称、竖直向对称，带有轻微狭窄的动脉，提出了血液磁流体动力学流动的微极模型．为了估计狭窄形状的影响，几何上加以适当地考虑，通过选取不同的参数（称为形状参数），很方便地改变水平向的狭窄情况．在不同形状参数、Hartmann数和Hall参数下，计算了流动参数，例如流速、流动阻力（阻力阻抗）、狭窄区域血管壁面剪应力分布以及狭窄最大凸起高度位置处（狭窄喉部）的壁面剪应力大小．结果表明，流动阻力随着确定狭窄情况参数值和Hall参数值的增大而减小，并随着Hartmann数的增大而增大．对任意给定的Hartmann数和Hall参数，血管壁面剪应力和血管狭窄部位凸起最大高度处的管壁剪应力，具有与流动阻力相反的特征．最后，给出了Hartmann数和Hall参数对水平速度的影响．
- 血液磁流体动力学 /
- 微极模型 /
- 狭窄动脉 /
- Hall电流 /
- Hartmann数
Abstract: A micrnpolar model for blood of mag}etol}ydrodynamic flow through a horizontally nonsymmetric arterial but vertically symmetric artery with a mild stenosis is presented.To estimate the effect of the stenosis shape,a suitable geometry was considered such that the horizontal shape of the stenosis can be changed easily just by varying a parameter (referred to as the shape parameter).Flow parameters such as velocity,the resistance to flow (the resistance impedance),the wall shear stress distribution in the stenotic region and its magnitude at the maavmum height of the stenosis (stenosis throat) were computed for different shape parameter,the Hartrnann number and Hall parameter.It is shown that the resistance to flow decreases with increasing values of the parameter deterrninirrg the stenosis shape and Hall parameter,while the resistance to flow increase with increasing the Hartrnann number.The wall shear stress and the shearing stress on the wall at the maavmum height of the stenosis possess an inverse character to the resistance to flow with respect to any given values of Hartmann number and Hall parameter.Finally,the effect of the Hartrnann number and the Hall paruneter on the horizontal velocity was examined.
- blood of magnetohydnodynamic flow /
- micropolar model /
- stenotic artery /
- Hall currents /
- Hartmann number

HTML全文

参考文献(24)

[1]	Craig I J D, Watson P G.Magnetic reconnection solutions based on a generalized Ohm's law[J].Solar Phys,2003,214(1):131-150. doi: 10.1023/A:1024075416016
[2]	Stud V K, Sephon G S, Mishra R K.Pumping action on blood flow by a magnetic field[J].Bull Math Biol,1997,39(3):385-390.
[3]	Agrawal H L,Anwaruddin B.Peristaltic flow of blood in a branch[J].Ranchi Univ Math J,1984,15:111-121.
[4]	Bharali A, Borkakati A K.The effect of Hall currents on MHD flow and heat transfer between two parallel porous plates[J].Appl Sci Res,1982,39(2):155-165. doi: 10.1007/BF00457017
[5]	Asghar S, Parveen S, Hanif S,et al.Hall effects on the unsteady hydromagnetic flows of an Oldroyd-B fluid[J].Internat J Engrg Sci,2003,41(6):609-619. doi: 10.1016/S0020-7225(02)00153-2
[6]	Megahed A A, Komy S R, Afify A A.Similarity analysis in magnetohydrodynamics: Hall effects on free convection flow and mass transfer past a semi-infinite vertical flat plate[J].Internat J Non-Linear Mech,2003,38(4):513-520. doi: 10.1016/S0020-7462(01)00077-4
[7]	Mohyuddin M R, Ashraf E E.Inverse solutions for a second-grade fluid for porous medium channel and Hall current effects[J].Proc Indian Acad Sci,Math Sci,2004,114(1):79-96. doi: 10.1007/BF02829673
[8]	Hayat T, Naz R, Asghar S. Hall effects on unsteady duct flow of a non-Newtonian fluid in a porous medium[J].Appl Math Comp,2004,157(1):103-114. doi: 10.1016/j.amc.2003.08.069
[9]	Hayat T, Wang Y, Hutter K. Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid[J].Internat J Non-Linear Mech,2004,39(6):1027-1037. doi: 10.1016/S0020-7462(03)00094-5
[10]	Eringen A C. Theory of micropolar fluid[J].J Math Mech,1966,16(1):11-18.
[11]	Agarwal R S,Dhanapal C.Numerical solution to the flow of micropolar fluid between porous walls of different permeability[J].Internat J Engrg Sci，1987，25(33):325-336. doi: 10.1016/0020-7225(87)90039-5
[12]	Haldar K.Effects of the shape of stenosis on the resistance to blood flow through an artery[J].Bull Math Biol,1985,47(4):545-550.
[13]	Srivistava L M.Flow of couple stress fluid through stenotic blood vessels[J].J Biomech,1985,18(7):479-485. doi: 10.1016/0021-9290(85)90662-1
[14]	Srivastava V P.Arterial blood flow through a nonsymmetrical stenosis with applications[J].Jpn J Appl Phys,1995,34(12):6539-6545. doi: 10.1143/JJAP.34.6539
[15]	Ang K C, Mazumdar J N.Mathematical modeling of three dimensional flow through an asymmetric arterial stenosis[J].Math Comput Modelling,1997,25(1):19-29.
[16]	Srivastava V P,Saxena M.Suspension model for blood flow through stenotic arteries with a cell-free plasma layer[J].Math Biosci,1997,139(2):79-102. doi: 10.1016/S0025-5564(96)00130-7
[17]	Chakravarty S, Mandal P K.Two-dimensional blood flow through tapered arteries under stenotic conditions[J].Internat J Non-Linear Mech,2000,35(5):779-793. doi: 10.1016/S0020-7462(99)00059-1
[18]	Liu B, Tang D.A numerical simulation of viscous flows in collapsible tubes with stenosis[J].Appl Numer Math,2000,32(1):87-101. doi: 10.1016/S0168-9274(99)00015-X
[19]	El-Shahed M.Pulsatile flow of blood through a stenosed porous medium under periodic body acceleration[J].Appl Math Comput,2003,138(2/3):479-488. doi: 10.1016/S0096-3003(02)00164-9
[20]	Jung H, Choi J W,Park C G. Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery[J].K-A Rheol J，2004,16(6):101-108.
[21]	Liu G T, Wang X J, Ai B Q,et al.Numerical study of pulsating flow through a tapered artery with stenosis[J].Chinese J Phys,2004,42(4):401-409.
[22]	Mandal P K.An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis[J].Internat J Non-Linear Mech,2005,40(1):151-164. doi: 10.1016/j.ijnonlinmec.2004.07.007
[23]	Pralhad R N, Schulz D H.Modeling of arterial stenosis and its applications to blood diseases[J].Math Biosci,2004,190(2):203-220. doi: 10.1016/j.mbs.2004.01.009
[24]	Young D F.Effect of a time dependent stenosis of flow through a tube[J].J Engrg Ind,Trans ASME,1968,90:248-254. doi: 10.1115/1.3604621