Transient analytical solution for the motion of a vibrating cylinder in the Stokes regime using Laplace transforms

被引：2

作者：

Woodfield, Peter Lloyd ^{[1
]}

机构：

[1] Griffith Univ, Sch Engn, Brisbane, Qld 4222, Australia

来源：

JOURNAL OF FLUIDS AND STRUCTURES | 2015年 / 54卷

关键词：

Analytical solution; Transient effects; Vibrating-wire viscometer; Vibrating cylinder; Laplace transforms; CENTER-DOT-S; WIRE VISCOMETER; NOMINAL VISCOSITY; FLUID; FLOW; OPERATION; ROD; MPA;

D O I：

10.1016/j.jfluidstructs.2014.10.015

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new analytical solution for the motion of an elastic cylinder in a viscous fluid is derived using Laplace transforms. Unlike previously available solutions, full expressions for transient terms are given. The solution is compared with conventional treatments of this problem. It is expected to have particular value for applications related to viscosity measurement using vibrating-wire viscometers applied to higher viscosity fluids. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：202 / 214

页数：13

共 29 条

[1]

Abramowitz M., 1972, Handbook on Mathematical Functions with Formulas, Graphs, and Mathematical Tables

[2] A Novel Vibrating-Wire Viscometer for High-Viscosity Liquids at Moderate Pressures [J].

Assael, Marc J. ;

Mylona, Sofia K. .

JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2013, 58 (04) :993-1000

[3] Motion of slender bodies in unsteady Stokes flow [J].

Barta, Efrath .

JOURNAL OF FLUID MECHANICS, 2011, 688 :66-87

[4] VIBRATING WIRE VISCOMETER [J].

BRUSCHI, L ;

SANTINI, M .

REVIEW OF SCIENTIFIC INSTRUMENTS, 1975, 46 (11) :1560-1568

[5] Validation of a vibrating-wire viscometer:: Measurements in the range of 0.5 to 135 mPa•s [J].

Caetano, FJP ;

Fareleira, JMNA ;

Oliveira, CMBP ;

Wakeham, WA .

JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2005, 50 (01) :201-205

[6]

Carslaw H. S., 2003, Conduction of Heat in Solids

[7] ADDED MASS AND DAMPING OF A VIBRATING ROD IN CONFINED VISCOUS FLUIDS [J].

CHEN, SS ;

WAMBSGANSS, MW ;

JENDRZEJCZYK, JA .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1976, 43 (02) :325-329

[8] Improved Understanding of Vibrating-Wire Viscometer-Densimeters [J].

Ciotta, Fausto ;

Trusler, J. P. Martin .

JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2010, 55 (06) :2195-2201

[9] Three-dimensional flow due to a microcantilever oscillating near a wall: an unsteady slender-body analysis [J].

Clarke, RJ ;

Jensen, OE ;

Billingham, J ;

Williams, PM .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2006, 462 (2067) :913-933

[10] Viscosity Measurements of Diisodecyl Phthalate Using a Vibrating Wire Instrument Operated In Free Decay Mode: Comparison with Results Obtained with the Forced Mode of Operation [J].

da Mata, J. L. Correia ;

Caetano, Fernando J. P. ;

Oliveira, Carla M. B. P. ;

Fareleira, Joao M. N. A. .

JOURNAL OF CHEMICAL AND ENGINEERING DATA, 2009, 54 (09) :2562-2568

← 1 2 3 →