Resistance Functions for Two Spheres in Axisymmetric Flow—Part I : Stream Function Theory
Joint Authors
El Naqeeb, Thanaa
Schmitz, Rudi
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider low-Reynolds-number axisymmetric flow about two spheres using a novel, biharmonic stream function.
This enables us to calculate analytically not only the forces, but also the dipole moments (stresslets and pressure moments) and the associated resistance functions.
In this paper the basics properties of axisymmetric flow and the stream function are discussed.
Explicit series expansions, obtained by separation in bispherical coordinates, will be presented in a follow-up paper.
American Psychological Association (APA)
El Naqeeb, Thanaa& Schmitz, Rudi. 2011. Resistance Functions for Two Spheres in Axisymmetric Flow—Part I : Stream Function Theory. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-463129
Modern Language Association (MLA)
El Naqeeb, Thanaa& Schmitz, Rudi. Resistance Functions for Two Spheres in Axisymmetric Flow—Part I : Stream Function Theory. Journal of Applied Mathematics No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-463129
American Medical Association (AMA)
El Naqeeb, Thanaa& Schmitz, Rudi. Resistance Functions for Two Spheres in Axisymmetric Flow—Part I : Stream Function Theory. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-463129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463129