Plenary Lecture

Modeling Arterial Blood Flow with Stenosis

Professor Daniel N. Riahi
Professor Emeritus of Mechanical Science and Engineering
University of Illinois at Urbana-Champaign
&
Department of Mathematics
University of Texas-Pan American
USA
E-mail: driahi@utpa.edu

Abstract: In this lecture we first review mathematical modeling and analyses that have been carried out recently for steady and unsteady single-phase blood flow in arteries with stationary or time dependent stenosis of different types. The types of fluid were either Newtonian with an Einstein type viscosity model or non-Newtonian. Next, we consider the relevant governing equations for the two-phase blood flow in an artery and in the presence of a realistic stenosis. We determine solutions for the dependent variables of the flow system and present the results for various quantities such as the flow speed, pressure drop, impedance, shear stress and the associated forces for the blood flow system. We explain the main mechanisms that can be operative in such artery flow system and discuss the human operating conditions, under which our results can be beneficial to the patience’s health.

Brief Biography of the Speaker: Daniel N. Riahi is Professor Emeritus in the Dept of Mechanical Science and Engineering at The University of Illinois at Urbana-Champaign (UIUC) and as Professor in the Dept of Math at The University of Texas-Pan American (UTPA). Dr. Riahi’s research work & interest include studies in convection, flow instabilities & turbulence, flow during solidification & crystal growth, electromagnetic applications, and math modeling and theoretical developments with applications in engineering, mechanical and physical sciences. His research accomplishments include new theories and a number of discoveries in fundamental areas of convective and shear flows, some of which were already confirmed by the experimental studies.
Professor Riahi is Associate Fellow of American Institute of Aeronautics and Astronautics (AIAA) and Fellow of Wessex Institute of Technology of Great Britain. He was Honorary General Chair of the World Congress on Engineering and Technology (China, 2011) and Plenary Lecturers of several International Conferences. He received a number of awards including Service Recognition, Certificates, Honorific Title & Research Awards from UIUC. He was author of Chapters in a book that won the Best Basic Science Book-Award by IAA. He was awarded grants from NSF, NCSA, UIUC-RB, UTPA-FRC & URI and supervised NASA Sponsored Res. Projects. He is Editor and Editorial Board Member of over 20 technical journals and book series. He is author of over 360 publications mostly published in rigorously refereed journals, including books, invited articles, review articles and chapters of books.

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