+1 Recommend
1 collections
      • Record: found
      • Abstract: found
      • Article: found

      Flow in Elliptical Vessels Calculated for a Physiological Waveform


      Read this article at

          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.


          Understanding the nature of pulsatile flow is an important issue in haemodynamics, especially the initiation and progression of vascular disease. The geometry of a non-circular vessel was idealised to an elliptical cross-section, and the dynamic properties of the flow were calculated for a physiological waveform. The Fourier harmonics for a common carotid waveform were determined, and the velocity profile and wall shear stress were calculated from the superposition of the individual contributions from each harmonic. The effects of ellipticity on the flow pattern were found to be significant. The velocity profile along the major axis of the elliptical cross-section developed a flattened peak, which widened as the vessel became more elliptical. Wall shear stress demonstrated an angular dependence in elliptical vessels, where the point of minimum shear stress was located at the end of the major axis. Comparison with a cylindrical vessel demonstrated a 3% decrease in peak wall shear stress (τ = 2.96, N·m<sup>–2</sup>) at the end of the major axis, and 10% in the mean wall shear stress (τ = 0.44 N· m<sup>–2</sup>), for an elliptical vessel (Ε = 0.8). The temporal average wall shear stress, which has been associated with atherogenic sites, also displayed a minimum at the end of the major axis that decreased with more elliptical cross-sections.

          Related collections

          Most cited references 3

          • Record: found
          • Abstract: not found
          • Article: not found

          Pulsatile Flow in Tubes of Elliptic Cross Sections

           M. Haslam,  M Zamir,  M HASLAM (1998)
            • Record: found
            • Abstract: not found
            • Article: not found

            Reconstruction of blood flow patterns in human arteries

             XY XU,  Q Long,  MW Collins (1999)
              • Record: found
              • Abstract: not found
              • Article: not found

              Three-dimensional display of calculated velocity profiles for physiological flow waveforms


                Author and article information

                J Vasc Res
                Journal of Vascular Research
                S. Karger AG
                February 2001
                08 February 2001
                : 38
                : 1
                : 73-82
                Department of Medical Physics and Medical Engineering, University of Edingburgh, Western General Hospital, Edinburgh, UK
                51032 J Vasc Res 2001;38:73–82
                © 2001 S. Karger AG, Basel

                Copyright: All rights reserved. No part of this publication may be translated into other languages, reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, microcopying, or by any information storage and retrieval system, without permission in writing from the publisher. Drug Dosage: The authors and the publisher have exerted every effort to ensure that drug selection and dosage set forth in this text are in accord with current recommendations and practice at the time of publication. However, in view of ongoing research, changes in government regulations, and the constant flow of information relating to drug therapy and drug reactions, the reader is urged to check the package insert for each drug for any changes in indications and dosage and for added warnings and precautions. This is particularly important when the recommended agent is a new and/or infrequently employed drug. Disclaimer: The statements, opinions and data contained in this publication are solely those of the individual authors and contributors and not of the publishers and the editor(s). The appearance of advertisements or/and product references in the publication is not a warranty, endorsement, or approval of the products or services advertised or of their effectiveness, quality or safety. The publisher and the editor(s) disclaim responsibility for any injury to persons or property resulting from any ideas, methods, instructions or products referred to in the content or advertisements.

                Page count
                Figures: 7, Tables: 2, References: 37, Pages: 10
                Research Paper


                Comment on this article