On Stokes’ Problems for Linear Viscoelastic Fluids

1967 ◽  
Vol 34 (4) ◽  
pp. 1040-1042 ◽  
Author(s):  
T. Y. Na ◽  
M. M. Sidhom
Keyword(s):  
Relaxation Time ◽  
Present Note ◽  
Viscoelastic Fluids ◽  
Stokes Problems ◽  
Linear Viscoelastic ◽  
Oscillating Plate

The present Note considers the problems associated with the flow of linear viscoelastic fluids of the Maxwell type near an accelerating or oscillating plate (known as Stokes’ problems). Effect of the fluids’ relaxation time on their behavior is sought.

Rheometry-on-a-chip: measuring the relaxation time of a viscoelastic liquid through particle migration in microchannel flows

Lab on a Chip ◽  
2015 ◽  
Vol 15 (3) ◽  
pp. 783-792 ◽  
Author(s):  
Francesco Del Giudice ◽  
Gaetano D'Avino ◽  
Francesco Greco ◽  
Ilaria De Santo ◽  
Paolo A. Netti ◽  
...  
Keyword(s):  
Relaxation Time ◽  
Viscoelastic Fluids ◽  
Viscoelastic Liquid ◽  
Particle Migration ◽  
Microchannel Flows ◽  
Novel Method

A novel method to estimate the relaxation time of viscoelastic fluids, down to milliseconds, is here proposed.

Resonance in laminar pipe flow of non-linear viscoelastic fluids

2019 ◽  
Vol 115 ◽  
pp. 53-60 ◽  
Author(s):  
Mario F. Letelier ◽  
Dennis A. Siginer ◽  
Diego L. Almendra ◽  
Juan S. Stockle
Keyword(s):  
Pipe Flow ◽  
Viscoelastic Fluids ◽  
Non Linear ◽  
Linear Viscoelastic ◽  
Laminar Pipe Flow

scholarly journals Recovery of Shear-Modified Polybutadiene Solutions

2006 ◽  
Vol 79 (2) ◽  
pp. 267-280 ◽  
Author(s):  
C. M. Roland ◽  
C. G. Robertson
Keyword(s):  
Relaxation Time ◽  
Dynamic Modulus ◽  
Viscoelastic Relaxation ◽  
Newtonian Viscosity ◽  
Low Viscosity ◽  
Stress Coefficient ◽  
Linear Viscoelastic ◽  
Recoverable Compliance ◽  
Transient Viscosity ◽  
Nonlinear Shear

Abstract We have investigated the recovery of the overshoot in the transient viscosity, the first normal stress coefficient, and the dynamic modulus for entangled polybutadiene solutions subjected to nonlinear shear flow. The molecular-weight dependences of the various time scales (linear viscoelastic relaxation time, entanglement recovery time, and timescale for decay of stress following cessation of shearing) are all consistent with the usual 3.4 power law. Nevertheless, the time for recovery of the stress overshoot and plateau value of the dynamic modulus were substantially longer (by as much as two orders of magnitude) than the linear viscoelastic relaxation time calculated from the Newtonian viscosity and the equilibrium recoverable compliance. These results indicate that complete entanglement recovery requires cooperative chain motions over a length scale exceeding that associated with linear relaxation. This persistence of a disentangled state means that a state of low viscosity and reduced elasticity is retained for an extended time, suggesting that shear modification can be used to facilitate the processing of polymers.

scholarly journals Some Controllability Results for Linear Viscoelastic Fluids

2012 ◽  
Vol 50 (2) ◽  
pp. 900-924 ◽  
Author(s):  
J.L. Boldrini ◽  
A. Doubova ◽  
E. Fernández-Cara ◽  
M. González-Burgos
Keyword(s):  
Viscoelastic Fluids ◽  
Linear Viscoelastic

PERISTALTIC TRANSPORT OF MAXWELL VISCOELASTIC FLUIDS WITH A SLIP CONDITION: HOMOTOPY ANALYSIS OF GASTRIC TRANSPORT

2015 ◽  
Vol 15 (03) ◽  
pp. 1550021 ◽  
Author(s):  
D. TRIPATHI ◽  
O. ANWAR BÉG
Keyword(s):  
Relaxation Time ◽  
Frictional Force ◽  
Viscoelastic Fluids ◽  
Transport Processes ◽  
Peristaltic Transport ◽  
Slip Condition ◽  
Slip Parameter ◽  
Analytical Technique ◽  
Approximate Analytical Solutions ◽  
Homotopy Analysis

Viscoelastic fluids arise frequently in numerous biophysical transport processes including gastric flow, embryology, haemo-dynamics and synovial lubrication. In the present article, we examine the effect of slip condition on peristaltic transport of viscoelastic fluids with the fractional Maxwell model through a two-dimensional deformable channel under the long wavelength and low Reynolds number assumptions, as a simulation of gastric flow. The channel is subjected to sinusoidal waves traveling along the walls. A versatile semi-analytical technique, the homotopy analysis method (HAM) is used to obtain approximate analytical solutions for the non-dimensionalized flow problem. The convergence of the HAM which depends on ℏ-curves is illustrated for relevant parameters. The effects of fractional parameters, relaxation time and slip parameter on the pressure difference and frictional force across one wavelength against time and averaged flow rate are illustrated graphically. It is found that effect of both fractional parameters on pressure is opposite to each other. The relaxation time and slip parameter are found to assist the peristaltic transportation. The behavior of frictional force is found to be similar to pressure in a magnitude sense whereas it is opposite in direction.

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