Abram S. Dorfman - Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine

2017 ASME

This edition first published 2017 by John Wiley & Sons Ltd.

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Library of Congress Cataloging-in-Publication Data

Names: Dorfman, A. Sh. (Abram Shlemovich), author.

Title: Applications of mathematical heat transfer and fluid flow models in engineering and medicine / Abram S. Dorfman.

Description: Chichester, UK ; Hoboken, NJ : John Wiley & Sons, 2017. | Series: Wiley-asme press series | Includes bibliographical references and index.

Identifiers: LCCN 2016033003 (print) | LCCN 2016049187 (ebook) | ISBN 9781119320562 (cloth) | ISBN 9781119320739 (pdf) | ISBN 9781119320746 (epub)

Subjects: LCSH: Heat-Transmission-Mathematical models. | Fluid mechanics-Mathematical models.

Classification: LCC QC320 .D59 2017 (print) | LCC QC320 (ebook) | DDC 621.402/2-dc23

LC record available at https://lccn.loc.gov/2016033003

A catalogue record for this book is available from the British Library.

In memory of my favorite co-author,
who passed away too soon,
Professor of University of Toledo,
Ella Fridman.

The Wiley-ASME Press Series in Mechanical Engineering brings together two established leaders in mechanical engineering publishing to deliver high-quality, peer-reviewed books covering topics of current interest to engineers and researchers worldwide. The series publishes across the breadth of mechanical engineering, comprising research, design and development, and manufacturing. It includes monographs, references, and course texts. Prospective topics include emerging and advanced technologies in engineering design, computer-aided design, energy conversion and resources, heat transfer, manufacturing and processing, systems and devices, renewable energy, robotics, and biotechnology.

Albert Einstein

This textbook for advanced graduate and post-graduate courses presents the applications of the modern heat transfer and fluid flow mathematical models in engineering, biology, and medicine. By writing this work, the author continues the introduction of brand-new efficient methods in fluid flow and heat transfer that have been developed and widely used during the last 50 years after computers became common. While his previous two monographs presented these contemporary methods on an academic level in heat transfer only [119] or in both areas heat transfer and fluid flow on the preliminary level [121], this manual introduces the modern approaches in studying corresponding mathematical modelsa core of each research means determining its efficiency and applicability. Two types of new mathematical models are considered: the conjugate models in heat transfer and in fluid flow and models of direct numerical simulation of turbulence. The current situation of applications of these models is presented in two parts: applications of conjugate heat transfer in engineering (Part I) and applications of conjugate fluid flow (peristaltic flow) in medicine and biology and applications in engineering of direct numerical simulation (Part II). These parts contain theory, analysis of mathematical models, and methods of problem solution introduced via 134 detailed and 231 shortly reviewed examples selected from a list of 448 cited original papers adopted from 152 scientific general mathematic, computing, and different specific oriented journals, 42 proceedings, reports, theses, and 37 books. This list of 448 references comprehends the whole period of the new methods existing from the 1950s to present time, including more than 100 results published during the last 5 years among which more than half of the studies were issued in 2014 to 2016.

The term conjugate, or coupled problem, was coined in the 1960s to designate the heat transfer strict investigation that requires matching temperature fields of bodies flowing around or inside the fluids. Later on, it became clear that these terms and procedures are important to many other natural and technology processes, consisting of interactions between elements and/or substances. In particular, the peristaltic flow is an inherent conjugate phenomenon because such flow occurs due to interaction between the elastic channel walls and the fluid inside channel. The conjugate formulation reflects the basic features of a studied phenomenon. Due to that, the models of this type are reliable and significantly improve the correctness and physical understanding of the results. Conjugate methods constitute a powerful tool for solving contemporary problems, substituting the previous approximate approaches. At the same time, it is important to know when the common more simple approaches may be used with comparable exactness, instead of more complex conjugate procedures. The textbook answers this question, as well as significant other questions governing the applications of conjugate methods.

The other group of new methods considered in this text is based on direct numerical solution of exact unsteady (without averaging) Navier-Stokes equations. Because the unsteady Navier-Stokes equations describe the complete space- and time-dependent field of turbulent flow, the results of direct numerical simulation are considered as an experimental data gained computationally. Such results provide highly accurate instantaneous turbulence characteristics giving further insight into physics of turbulence, opening new possibilities, fresh ideas and improving applications.