Authors: Somnath Santra; Dipak Kumar Mandal; Somnath Chakrabarti
Addresses: Department of Mechanical Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah – 711103, West Bengal, India ' Department of Mechanical Engineering, College of Engineering and Management, Kolaghat, P.O: K.T.P.P Township, Midnapore (E) – 721 171, West Bengal, India ' Department of Mechanical Engineering, Indian Institute of Engineering Science and Technology, Shibpur, Howrah – 711103, West Bengal, India
Abstract: Considering the pulsatile nature of blood flow, the transport of low density lipoprotein (LDL) species in the arterial wall has been numerically analysed. A straight axi-symmetric arterial segment with four arterial porous layers vis. endothelium, intima, internal elastic lamina and media has been taken into consideration. These layers are considered porous in nature. For modelling the fluid flow in the lumen and the arterial wall, Navier-Stokes equation and Darcy's equation have been used respectively. The solute flow modelling in the lumen and in the arterial wall has been done by using convection-diffusion equation and convection-diffusion-reaction equation respectively. Simple pulsatile and physiological pulsatile model of blood flow have been considered in the present analysis. The present study shows that the physiological pulsatile flow is having more impact on the radial filtration velocity at lumen-endothelium interface than that of the case for simple pulsatile nature of flow. Therefore, the possibility of enhancement in solute transport in the arterial wall is more in case of physiological pulsatile nature of flow.
Keywords: radial filtration velocity; simple pulsatile profile; physiological pulsatile profile; low density lipoprotein; LDL.
Progress in Computational Fluid Dynamics, An International Journal, 2018 Vol.18 No.3, pp.177 - 187
Received: 24 Dec 2016
Accepted: 17 Nov 2017
Published online: 25 Apr 2018 *