Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

Analytical evaluation of short-range forces in cylindrical geometry

Lockerbie, N.A. and Veryaskin, A.V. and Xu, X. (1996) Analytical evaluation of short-range forces in cylindrical geometry. Journal of Physics A: Mathematical and Theoretical, 29 (15). pp. 4649-4663. ISSN 0305-4470

Full text not available in this repository. Request a copy from the Strathclyde author

Abstract

This paper concerns the potential field for Yukawa-type forces in a cylindrical geometry. A set of formulae is derived for a cylindrical body in order to reduce the integration over the body from 3D (or 6D for a pair of interacting bodies) to either a 1D integration, or an analytical formula. Using these formulae we consider analytically the potential field of two Yukawa force terms, and reanalyse Long's and Spero et al's experiments for the inverse-square law test. The results show that the - graph produces similar results to the case where a single Yukawa term is considered. The theory can also be applied to other problems in short-range force experiments that involve cylindrically shaped bodies as the test masses.