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

Mathematics

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