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2025 | OriginalPaper | Chapter

1. Introduction: Applying Perturbation and Related Methods to Rationally Describe the “Teapot Effect” Under Capillary and Weak Viscous Action

Author : Bernhard Scheichl

Published in: Interfacial Flows—The Power and Beauty of Asymptotic Methods

Publisher: Springer Nature Switzerland

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Abstract

This chapter provides a comprehensive overview of the teapot effect, focusing on the application of perturbation methods to describe the phenomenon under capillary and weak viscous actions. The text begins by introducing asymptotic methods and analytical/numerical techniques commonly used to solve reduced problems in fluid dynamics. It emphasizes the importance of dimensional analysis in establishing key groups and their relative order of magnitude, laying the foundation for the application of perturbation methods. The chapter delves into the intricate results obtained from full computational investigations, highlighting the necessity of a systematic approach to gain deep insights into the physics at play. It explores the different spatial scales emerging in the analysis of the teapot effect, providing a detailed examination of the flow configurations and the governing equations. The text also discusses the role of gravity, surface tension, and wall curvature in influencing the teapot effect, offering a nuanced understanding of the factors that contribute to the phenomenon. Additionally, it covers the governing equations and boundary conditions, providing a thorough foundation for understanding the teapot effect. The chapter concludes with a discussion on the essential preliminary findings and the challenges posed by solving the full problem, setting the stage for further exploration in the field of fluid dynamics.
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Metadata
Title
Introduction: Applying Perturbation and Related Methods to Rationally Describe the “Teapot Effect” Under Capillary and Weak Viscous Action
Author
Bernhard Scheichl
Copyright Year
2025
Book
Interfacial Flows—The Power and Beauty of Asymptotic Methods

Print ISBN: 978-3-031-78763-8

Electronic ISBN: 978-3-031-78764-5

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-031-78764-5_1

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