Capillary surfaces. Shape -- stability -- dynamics, in particular under weightlessness. With a foreword by Ulf Merbold.
type: Item
instance of: scholarly article
title: Capillary surfaces. Shape -- stability -- dynamics, in particular under weightlessness. With a foreword by Ulf Merbold.
zbMATH Open document ID: 1050.76001
DOI: 10.1007/3-540-45267-2
author: Dieter Langbein
published in: Springer Tracts in Modern Physics
publication date: 2003-11-09T00:00:00Z
review text: This book is a rich source of interesting problems in capillarity. A large number of described experiments and numerical results provide the reader with an impression what is going on in the recent research on capillarity. I consider the book as an important contribution in the field of fluid mechanics, and I am sure it will encourage researchers to work in this field. In particular, even for stationary problems, the justification of formal calculations is a challenge for mathematicians. The book is organized as follows: 1. Introduction. This chapter contains a short report about experiments on space missions, and some problems where capillary effects play a dominant role are described. 2. Interface tension and contact angle. It is pointed out that the theory of surface tension is still in a phenomenological state. Moreover, the static and dynamic contact angle, the problem of merging of drops and bubbles and the adhesion forces in liquid films are discussed. 3. Capillary shape and stability. In this chapter the capillary equation (Laplace, Young, Gauss) is derived, and some analytic solutions are considered. 4. Stability criteria. Stability is here by definition if all eigenvalues of an associated quadratic form are positive. Moreover, a minimum-volume condition as a sufficient condition for stability is discussed. 5. Axisymmetric liquid columns at rest und under rotation. The shape and stability of some axisymmetric capillary surfaces are investigated. 6. Liquid zones. This chapter is devoted to the interesting problems of liquid bridges between parallel plates and of double float zones. 7. Canthotaxis, wetting barriers, pinning lines. A series of problems like straight wetting barriers and liquid surfaces in wedges is considered, and numerical results are discussed. 8. Cylindrical containers. The question of the existence of zero gravity solutions is considered for cylindrical containers with a general cross-section. 9: Liquid surfaces in polyhedral containers. T…
Mathematics Subject Classification ID: 76-02
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 76E17
zbMATH DE Number: 2001589
zbMATH Keywords: microgravity
zbMATH Keywords: space experiments
zbMATH Keywords: surface tension
zbMATH Keywords: stability
zbMATH Keywords: existence
reviewed by: Erich Miersemann
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/3-540-45267-2
OpenAlex ID: W4210375112
description: scientific article; zbMATH DE number 2001589