TAILIEUCHUNG - báo cáo hóa học:" Research Article FDM Analysis for Blood Flow through Stenosed Tapered Arteries"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article FDM Analysis for Blood Flow through Stenosed Tapered Arteries | Hindawi Publishing Corporation Boundary Value Problems Volume 2010 Article ID 917067 16 pages doi 2010 917067 Research Article FDM Analysis for Blood Flow through Stenosed Tapered Arteries D. S. Sankar Joan Goh and Ahmad Izani Mohamed Ismail School of Mathematical Sciences Science University of Malaysia 11800 Penang Malaysia Correspondence should be addressed to D. S. Sankar sankar_ds@ Received 23 October 2009 Accepted 8 March 2010 Academic Editor Salim Messaoudi Copyright 2010 D. S. Sankar et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. A computational model is developed to analyze the unsteady flow of blood through stenosed tapered narrow arteries treating blood as a two-fluid model with the suspension of all the erythrocytes in the core region as Herschel-Bulkley fluid and the plasma in the peripheral layer as Newtonian fluid. The finite difference method is employed to solve the resulting system of nonlinear partial differential equations. The effects of stenosis height peripheral layer thickness yield stress viscosity ratio angle of tapering and power law index on the velocity wall shear stress flow rate and the longitudinal impedance are analyzed. It is found that the velocity and flow rate increase with the increase of the peripheral layer thickness and decrease with the increase of the angle of tapering and depth of the stenosis. It is observed that the flow rate decreases nonlinearly with the increase of the viscosity ratio and yield stress. The estimates of the increase in the longitudinal impedance to flow are considerably lower for the two-fluid Herschel-Bulkley model compared with those of the single-fluid Herschel-Bulkley model. Hence it is concluded that the presence of the peripheral layer helps in the functioning of the diseased arterial system. 1. Introduction .

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