Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

doi:10.1007/s10483-014-1848-7

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (8): 947-958.doi: https://doi.org/10.1007/s10483-014-1848-7

Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

J. V. R. REDDY, D. SRIKANTH, S. K. MURTHY

Department of Applied Mathematics, Defence Institute of Advanced Technology Deemed University, Pune 411025, Maharastra, India

收稿日期:2013-07-18 修回日期:2014-02-01 出版日期:2014-08-01 发布日期:2014-08-01
通讯作者: D. SRIKANTH, Ph.D., E-mail: sri_dasari1977@yahoo.co.in E-mail:sri_dasari1977@yahoo.co.in

Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

J. V. R. REDDY, D. SRIKANTH, S. K. MURTHY

Department of Applied Mathematics, Defence Institute of Advanced Technology Deemed University, Pune 411025, Maharastra, India

Received:2013-07-18 Revised:2014-02-01 Online:2014-08-01 Published:2014-08-01

摘要/Abstract

摘要： This paper explores the mathematical model for couple stress fluid flow through an annular region. The above model is used for studying the blood flow between the clogged (stenotic) artery and the catheter. The asymmetric nature of the stenosis is considered. The closed form expressions for the physiological parameters such as impedance and shear stress at the wall are obtained. The effects of various geometric parameters and the parameters arising out of the fluid considered are discussed by considering the slip velocity and tapering angle. The study of the above model is very significant as it has direct applications in the treatment of cardiovascular diseases.

关键词: blood flow, couple stress fluid, stenosed artery, tapered artery, catheter

Abstract: This paper explores the mathematical model for couple stress fluid flow through an annular region. The above model is used for studying the blood flow between the clogged (stenotic) artery and the catheter. The asymmetric nature of the stenosis is considered. The closed form expressions for the physiological parameters such as impedance and shear stress at the wall are obtained. The effects of various geometric parameters and the parameters arising out of the fluid considered are discussed by considering the slip velocity and tapering angle. The study of the above model is very significant as it has direct applications in the treatment of cardiovascular diseases.

Key words: blood flow, couple stress fluid, stenosed artery, tapered artery, catheter

中图分类号:

O357.41

J. V. R. REDDY;D. SRIKANTH;S. K. MURTHY. Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(8): 947-958.

参考文献

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Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

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