Research Article Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses Reima D. Alsemiry, 1,2 Sarifuddin, 3 Prashanta K. Mandal, 4 Hamed M. Sayed , 1,5 and Norsarahaida Amin 2 1 Department of Mathematics, aculty of Science, Taibah University, P.O. Box 89, Yanbu 41911, Saudi Arabia 2 Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, Malaysia 3 Department of Mathematics, Berhampore College, Baharampur 742101, West Bengal, India 4 Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India 5 Department of Mathematics, aculty of Education, Ain Shams University, Roxy 11757, Cairo, Egypt Correspondence should be addressed to Norsarahaida Amin; norsarahaida@utm.my Received 16 September 2019; Accepted 18 December 2019; Published 31 January 2020 Academic Editor: Hwa-Liang Leo Copyright © 2020 eima D. Alsemiry et al. is 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. e simultaneous eﬀect of ﬂexible wall and multiple stenoses on the ﬂow and mass transfer of blood is investigated through numerical computation and simulations. e solution is obtained using the Marker and Cell technique on an axisymmetric model of Newtonian blood ﬂow. e results compare favorably with physical observations where the pulsatile boundary condition and double stenoses result in a higher pressure drop across the stenoses. e streamlines, the iso-concentration lines, the Sherwood number, and the mass concentration variations along the entire wall segment provide a comprehensive analysis of the mass transport characteristics. e double stenoses and pulsatile inlet conditions increase the number of recirculation regions and eﬀect a higher mass transfer rate at the throat, whereby more mass is expected to accumulate and cause further stenosis. 1. Introduction Caro et al. [1] postulated that atherosclerosis, which is a narrowing of the artery as a result of plaque build-up may occur due to shear-dependent mass transfer mechanism between blood cholesterol and the arterial wall. Choles- terol exists in blood in the form of low density lipopro- teins (LDLs) whose deposition along the walls of the artery is a key step in atherogenesis, which would lead to stenosis. Stenosis can aﬀect the velocity of blood ﬂowing through the artery, aﬀecting blood pressure, collapsing the heart, which could in turn lead to disastrous conse- quences. us, an understanding of the behavior of local mass transport in arterial stenosis is important in the study of the formation and development of atherosclerotic lesions for appropriate assessment on the possible cor- relation between the site of atherosclerotic lesions and the pattern of mass transport. Ethier [2] carried out computational modelling of mass transfer and studied its links to atherosclerosis. Other studies on mass transport and ﬂuid ﬂow in stenotic arteries of axisymmetric and asymmetric models have been carried out by [3–6]. In these studies, the arterial wall was considered as rigid and the artery is assumed to have single mild stenosis, in which the geometry of the stenosis is represented by the usual cosine curve along with a restriction that the ratio of the severity of stenosis and the radius of the artery is very small. In reality, this is not the case where in many medical situations, the patient is found to have multiple stenoses in the same arterial segment. Investigations on the eﬀect of multiple stenoses on blood ﬂow have been carried out amongst others by [7–10]. ese studies showed that from both experimental results and theoretical calculations, the total eﬀect of a series of non- critical stenoses is approximately equal to the sum of their individual eﬀects where they can be critical and produce Hindawi BioMed Research International Volume 2020, Article ID 7609562, 14 pages https://doi.org/10.1155/2020/7609562