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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2017016597
pages 79-92


Somnath Santra
Department of Mechanical Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India
Dipak Kumar Mandal
Deptartment of Mechanical Engineering, College of Engineering & Management, Kolaghat, P.O: K.T.P.P. Township, Midnapore (E) - 721171, West Bengal, India
Somnath Chakrabarti
Department of Mechanical Engineering, Indian Institute of Engineering Science and Technology Shibpur, Howrah, 711103, West Bengal, India


In this study, a numerical model has been developed for implementing the convective and diffusive transport of LDL cholesterol in multilayered arterial wall. A new conceptual approach has also been done in order to estimate the LDL deposition rate in arterial layers under hyper-tension and hyper-lipidemia conditions considering the non-Newtonian nature of blood. The arterial wall layers viz. endothelium, intima, internal elastic lamina (IEL) and media are assumed to be homogeneous porous media. The Navier-Stokes equation and Darcy's equation have been used for representing the fluid flow in the lumen and the arterial wall, respectively. The mass transport in the lumen has been modeled through the convection-diffusion equation, whereas volume-averaged convection-diffusion-reaction equation has been used for simulating the mass transport through porous layers. This paper shows that the rate of accumulation is higher in intima layer than the media layer and also pointed out that the intima layer is a possible layer of initiation of the disease and that the endothelium provides a maximum barrier to solute flow across it. Thus, any denudation that occurred in endothelium may enhance the possibility of the formation of the disease. Finally, the paper shows that among the considered clinical parameters (hypertension and hyperlipidemia), hypertension is more vulnerable to the possible occurrence of the disease.