Sat, 18 Nov 2017

Performance Study on Capillary-Tissue Diffusion Phenomena for Blood Flow through Stenosed Blood Vessels

 

Sapna Ratan Shah*1

 

1. Department of Mathematics, Harcourt Butler Technological Institute, Kanpur - 208002, (India)


 

ABSTRACT

The study focuses on the behavior of diffusion phenomenon in the normal and stenosed capillary-tissue exchange system where the rheology of flowing blood in the capillary is characterized by the generalized Bingham Plastic fluid model. Assessment of the severity of the disease could be made possible through the variation of a parameter named as retention parameter. The concentration profile and associated physiological diffusion variable involved in the study for normal and diseased state have been analyzed. The model is also employed to study the effect of shape of stenosis on flow characteristics. An extensive quantitative analysis is performed through numerical computations of the desired quantities having physiological relevance through their graphical representations so as to validate the applicability of the present model.

Keywords: Bingham Plastic fluid model, Capillary-tissue exchange, Resistance to flow, Wall shear stress, Stenosis shape parameter.


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