Advances in numerical heat transfer PDF
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ADVANCES IN NUMERICAL HEAT TRANSFER Volume 3 © 2009 by Taylor & Francis Group, LLC Computational and Physical Processes in Mechanics and Thermal Science Advances in Numerical Heat Transfer, Volume 1 Advances in Numerical Heat Transfer, Volume 2 © 2009 by Taylor & Francis Group, LLC ADVANCES IN NUMERICAL HEAT TRANSFER Volume 3 Edited by W. J. Minkowycz Mechanical and Industrial Engineering University of Illinois at Chicago Chicago, Illinois E. M. Sparrow Mechanical Engineering University of Minnesota, Twin Cities Minneapolis, Minnesota Guest Editor J. P. Abraham School of Engineering University of St. Thomas St. Paul, Minnesota © 2009 by Taylor & Francis Group, LLC CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2009 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-13: 978-1-4200-9521-0 (Hardcover) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher can- not assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copy- right.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that pro- vides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com © 2009 by Taylor & Francis Group, LLC Contents Preface vii Contributors ix 1 Synthesis of Mathematical Models Representing Bioheat Transport 1 K. Khanafer and K. Vafai 2 Numerical Models of Blood Flow Effects in Biological Tissues 29 J. W. Baish, K. Mukundakrishnan, and P. S. Ayyaswamy 3 Numerical Methods for Solving Bioheat Transfer Equations in Complex Situations 75 J. Liu and Z.-S. Deng 4 Discrete Vasculature (DIVA) Model Simulating the Thermal Impact of Individual Blood Vessels for In Vivo Heat Transfer 121 B. W. Raaymakers, A. N. T. J. Kotte, and J. J. W. Lagendijk 5 Numerical Bioheat Transfer in Tumor Detection and Treatment 149 A. Zhang and L. X. Xu 6 Thermal Interactions between Blood and Tissue: Development of a Theoretical Approach in Predicting Body Temperature during Blood Cooling and Rewarming 197 L. Zhu, T. Schappeler, C. Cordero-Tumangday, and A. J. Rosengart 7 Experimental and Numerical Investigation on Simulating Nanocryosurgery of Target Tissues Embedded with Large Blood Vessels 221 Z.-S. Deng, J. Liu, J.-F. Yan, Z.-Q. Sun, and Y.-X. Zhou v © 2009 by Taylor & Francis Group, LLC vi CoNTENTS 8 Whole-Body Human Thermal Models 257 E. H. Wissler 9 Computational Infrastructure for the Real-Time Patient-Specific Treatment of Cancer 307 K. R. Diller, J. T. Oden, C. Bajaj, J. C. Browne, J. Hazle, I. Babuška, J. Bass, L. Bidaut, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, S. Goswami, A. Hawkins, S. Khoshnevis, B. Kwon, S. Prudhomme, and R. J. Stafford 10 A Mathematical Model to Predict Tissue Temperatures and Necrosis during Microwave Thermal Ablation of the Prostate 345 S. Ramadhyani, J. P. Abraham, and E. M. Sparrow © 2009 by Taylor & Francis Group, LLC Preface The bioheat and fluid flow focus of this volume of Advances in Numerical Heat Transfer is motivated by the marked upwelling of current interest in these subjects that are critical to human health. Progress in these areas requires both ingenious modeling and innovative numerical simulation. These issues are at the heart of the compilation of knowledge that has been assembled in this volume. The 10 chapters that comprise Volume 3 range widely over both fundamen- tals and applications. The modeling of thermal transport by perfusion within the framework of porous-media theory is the focus of Chapter 1. other perfusion models are reviewed and synthesized in Chapter 2. Chapter 3 reviews different forms of the bioheat equation that are appropriate to several thermal therapies, including laser irradiation. In contrast to the continuum tissue models of the preceding chapters, Chapter 4 focuses on thermal transport in individual blood vessels. Thermal methods of tumor detection and treatment are described in Chapter 5. Lengthy surgeries may require waste extraction from the blood with concomi- tant issues of blood heating and cooling, as exposited in Chapter 6. In Chapter 7, the enhancement of heat conduction in tumor tissue by intruded nanoparticles is demonstrated to improve the efficacy of thermal destruction of the tumor. Although the current bioheat and fluid emphasis is on localized anato- mies, whole-body thermal models remain of critical importance, as detailed in Chapter 8. overarching issues in the thermal treatment of cancer are the focus of Chapter 9. Chapter 10 is a detailed case study describing the thermal ablation of an enlarged prostate. The editors were vastly aided in the creation of Volume 3 by Professor John P. Abraham, who served as guest editor. All the editors owe a profound debt of grati- tude to the editorial staff of Taylor & Francis Group for their splendid cooperation. W. J. Minkowycz E. M. Sparrow vii © 2009 by Taylor & Francis Group, LLC Contributors J. P. Abraham J. Bass School of Engineering Institute for Computational University of St. Thomas Engineering and Sciences St. Paul, Minnesota University of Texas at Austin Austin, Texas P. S. Ayyaswamy Department of Mechanical L. Bidaut Engineering and Applied Department of Imaging Physics Mechanics M. D. Anderson Cancer Center School of Engineering and Applied University of Texas Science Houston, Texas University of Pennsylvania J. C. Browne Philadelphia, Pennsylvania Institute for Computational Engineering and Sciences I. Babuška University of Texas at Austin Institute for Computational Austin, Texas Engineering and Sciences University of Texas at Austin C. Cordero-Tumangday Austin, Texas Neurocritical Care and Acute Stroke Section J. W. Baish Departments of Neurology Department of Mechanical and Neurosurgery Engineering Pritzker School of Medicine Bucknell University University of Chicago Lewisburg, Pennsylvania Chicago, Illinois C. Bajaj L. Demkowicz Institute for Computational Institute for Computational Engineering and Sciences Engineering and Sciences University of Texas at Austin University of Texas at Austin Austin, Texas Austin, Texas ix © 2009 by Taylor & Francis Group, LLC x CoNTRIBUToRS Z.-S. Deng J. Hazle Technical Institute of Physics Department of Imaging Physics and Chemistry M. D. Anderson Cancer Center Chinese Academy of Sciences University of Texas Beijing, People’s Republic of China Houston, Texas K. R. Diller K. Khanafer Department of Biomedical Engineering Vascular Mechanics Lab University of Texas at Austin Biomedical Engineering Austin, Texas Department University of Michigan A. Elliott Ann Arbor, Michigan Department of Imaging Physics M. D. Anderson Cancer Center S. Khoshnevis University of Texas Department of Biomedical Houston, Texas Engineering University of Texas at Austin Y. Feng Austin, Texas Computational Bioengineering and Nanotechnology Lab A. N. T. J. Kotte Department of Mechanical Department of Radiotherapy Engineering University Medical Center University of Texas at San Antonio Utrecht San Antonio, Texas Utrecht, The Netherlands D. Fuentes B. Kwon Institute for Computational Institute for Computational Engineering and Sciences Engineering and Sciences University of Texas at Austin University of Texas at Austin Austin, Texas Austin, Texas S. Goswami J. J. W. Lagendijk Institute for Computational Department of Radiotherapy Engineering and Sciences University Medical Center Utrecht University of Texas at Austin Utrecht, The Netherlands Austin, Texas J. Liu A. Hawkins Department of Biomedical Institute for Computational Engineering Engineering and Sciences School of Medicine University of Texas at Austin Tsinghua University Austin, Texas Beijing, People’s Republic of China © 2009 by Taylor & Francis Group, LLC
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