๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method

โœ Scribed by M.-R. Xu; S.-P. Xu; H.-Y. Guo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
339 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In the present paper the natural frequencies of fluid-conveying pipes with pinned-pinned boundary condition are derived explicitly in a systematical and straightforward way with the help of homotopy perturbation method. Numerical results are presented for two cases and the effect of fluid flow velocity on the natural frequencies is discussed. Good agreement with their experimental and FEM counterparts is found numerically over ranges of practical interest.

๐Ÿ“œ SIMILAR VOLUMES

Torsional flow of third grade fluid usin
Torsional flow of third grade fluid using modified homotopy perturbation method
โœ A.M. Siddiqui; T. Haroon; S. Irum ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 664 KB

This paper considers the steady flow of an incompressible third grade fluid between two vertical concentric rotating cylinders of infinite lengths. Modified Homotopy perturbation method is used to reduce the volume of tedious calculations involved to solve second order nonlinear differential equatio

Analytic solution of natural convection
Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method
โœ Z. Ziabakhsh; G. Domairry ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 674 KB

An analysis has been performed to study the natural convection of a non-Newtonian fluid between two infinite parallel vertical flat plates and the effects of the non-Newtonian nature of fluid on the heat transfer are studied. The governing boundary layer and temperature equations for this problem ar