Some remarks on the limit of viscoelastic fluids as the relaxation time tends to zero

2005 ◽  
pp. 364-369 ◽  
Author(s):  
Jean-Claude Saut
Keyword(s):  
Relaxation Time ◽  
Viscoelastic Fluids

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.

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.

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.

NUCLEAR SPIN-LATTICE RELAXATION TIME IN TIN

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-1215-C6-1216
Author(s):  
H. Ahola ◽  
G.J. Ehnholm ◽  
S.T. Islander ◽  
B. Rantala
Keyword(s):  
Relaxation Time ◽  
Nuclear Spin ◽  
Lattice Relaxation ◽  
Lattice Relaxation Time ◽  
Spin Lattice Relaxation ◽  
Spin Lattice Relaxation Time ◽  
Spin Lattice ◽  
Nuclear Spin Lattice Relaxation

MAGNETIC FIELD DEPENDENT RELAXATION TIME IN p-InSb AT LOW TEMPERATURES

1981 ◽  
Vol 42 (C5) ◽  
pp. C5-689-C5-693
Author(s):  
J. D.N. Cheeke ◽  
G. Madore ◽  
A. Hikata
Keyword(s):  
Magnetic Field ◽  
Relaxation Time ◽  
Low Temperatures ◽  
Field Dependent
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