Kuwait-University-Journal-of-Law-header
Search
Kuwait Journal of Science

Previous Issues

Advance Search
Year : From To Vol
Issue Discipline:
Author

Volume :27 Issue : 2 2000      Add To Cart                                                                    Download

On the solution of two mutually coupled Bessel-Clifford equations associated with vibrations constrained by cylindrical boundaries

Auther : HAROLD EXTON

“Nyuggel” Lunabister, Donrossness, Shetland ZE2 9JH, U. K.

 

ABSTRACT

The investigation of eigenvalues of random mechanical vibrations of a cooling system involving the circular-cylindrical shell and its contents, namely a circular-cylindrical mass of fluid, is nearly of some importance. This is particularly pertinent relative to such cooling systems involved in nuclear reactors. In this study, explicit solutions of the governing differential equations are presented in the form of double hypergeometric functions, while two degenerate solutions are obtained in the form of hypergeometric functions of one variable.

            The method of attack consists of the application of Laplace transform to a specially constructed linear differential system. Namely, an auxiliary system of non-linear algebraic equations can be shown to be consistent and numerically implemented by the use of the computer algebra package MAPLE V. 

AMS Subject Classification. 33C20, 33C50, 33E15, 33E20, 34A05, 76A05 

Keywords: Bessel-Clifford equations; hypergeometric functions; Laplace transformation

Kuwait Journal of Science
Journal of Law

You are Visitor No.

55175

Journal of Law
Journal of Law
Tell your friendsJournal of Law
Journal of Law

Last Updated

Jun 19, 2012

Journal of Law
Journal of Law
Journal of Law

Please enter your email Here to receive our news

Journal of Law