Mathematical Modeling of Emission in Small-Size Cathode
This book deals with mathematical modeling, namely, it describes the mathematical model of heat transfer in a silicon cathode of small (nano) dimensions with the possibility of partial melting taken into account. This mathematical model is based on
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Vladimir Danilov Roman Gaydukov Vadim Kretov
Mathematical Modeling of Emission in Small-Size Cathode
Heat and Mass Transfer Series Editors Dieter Mewes, Universität Hannover, Hannover, Germany Franz Mayinger, München, Germany
This book series publishes monographs and professional books in all fields of heat and mass transfer, presenting the interrelationships between scientific foundations, experimental techniques, model-based analysis of results and their transfer to technological applications. The authors are all leading experts in their fields. Heat and Mass Transfer addresses professionals and researchers, students and teachers alike. It aims to provide both basic knowledge and practical solutions, while also fostering discussion and drawing attention to the synergies that are essential to start new research projects.
More information about this series at http://www.springer.com/series/4247
Vladimir Danilov Roman Gaydukov Vadim Kretov •
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Mathematical Modeling of Emission in Small-Size Cathode
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Vladimir Danilov National Research University Higher School of Economics Moscow, Russia
Roman Gaydukov National Research University Higher School of Economics Moscow, Russia
Vadim Kretov National Research University Higher School of Economics Moscow, Russia
ISSN 1860-4846 ISSN 1860-4854 (electronic) Heat and Mass Transfer ISBN 978-981-15-0194-4 ISBN 978-981-15-0195-1 (eBook) https://doi.org/10.1007/978-981-15-0195-1 © Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
The study described in this book began several years ago when Prof. M. V. Karasev acquainted the authors with two MIET (National Research Univer
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