PERFORMANCE MODELING AND ANALYSIS OF BLOOD FLOW IN ELASTIC ARTERIES

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PERFORMANCE MODELING AND ANALYSIS OF BLOOD FLOW IN ELASTIC ARTERIES

Two different non-Newtonian models for blood flow are considered, first a simple power law model displaying shear thinning viscosity, and second a generalized Maxwell model displaying both shear thinning viscosity and oscillating flow viscous-elasticity. These models are used along with a Newtonian model to study sinusoidal flow of blood in rigid and elastic straight arteries in the presence of magnetic field. The elasticity of blood does not appear to influence its flow behavior under physiological conditions in the large arteries,purely viscous shear thinning model should be quite realistic for simulating blood flow under these conditions. On using the power law model with high shear rate for sinusoidal flow simulation in elastic arteries, the mean and amplitude of the flow rate were found to be lower for a power law fluid compared to Newtonian fluid for the same pressure gradient. The governing equations have been solved by Crank-Niclson scheme. The results are interpreted in the context of blood in the elastic arteries keeping the magnetic effects in view. For physiological flow simulation in the aorta, an increase in mean wall shear stress, but a reduction in peak wall shear stress were observed for power law model compared to a Newtonian fluid model for matched flow rate wave form. Blood flow in the presence of transverse magnetic field in an elastic artery is investigated and the influence of factors such as morphology and surface irregularity is evaluated.

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作 者: Anil Kumar C.L.Varshney G.C.Sharma  
作者单位:Anil Kumar,C.L.Varshney(Department of Post-Graduate Studies and Research in Mathematics & Computer Science, S.Varshney College, Aligarh-202001, India)
9LS9LF"yB-[l'b5Y0G.C.Sharma(Institute of Basic Science, Khandari, Agra-282002, India) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2005 26(3) 
分类号:O242.1 O357.1 R318.01 
关键词:elastic artery model   Crank-Niclson scheme   non-Newtonian fluid   wall shear stress  
机标关键词:power law modelwall shear stressNewtonian fluidblood flowmagnetic fieldflow ratepressure gradientoscillating flowpower law fluidhigh shear rateMaxwell modelflow behaviorfluid model 
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