Anomalous features in the model of “second order fluids”

1979 ◽  
Vol 70 (2) ◽  
pp. 145-152 ◽  
Author(s):  
R. L. Fosdick ◽  
K. R. Rajagopal
Keyword(s):  
Second Order ◽  
Second Order Fluids

Acoustic streaming in second-order fluids

2020 ◽  
Vol 32 (12) ◽  
pp. 123103
Author(s):  
Pradipta Kr. Das ◽  
Arthur David Snider ◽  
Venkat R. Bhethanabotla
Keyword(s):  
Acoustic Streaming ◽  
Second Order ◽  
Second Order Fluids

Numerical Simulation of Die Swell of Second-Order Fluids Using Smoothed Particle Hydrodynamics

2010 ◽  
Author(s):  
Samir Hassan Sadek ◽  
Mehmet Yildiz
Keyword(s):  
Free Surface ◽  
Smoothed Particle Hydrodynamics ◽  
Second Order ◽  
Rheological Parameters ◽  
Die Swell ◽  
Two Dimensional ◽  
Polymeric Fluid ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Second Order Fluids

This work presents the development of both weakly compressible and incompressible Smoothed Particle Hydrodynamics (SPH) models for simulating two-dimensional transient viscoelastic free surface flow which has extensive applications in polymer processing industries. As an illustration with industrial significance, we have chosen to model the extrudate swell of a second-order polymeric fluid. The extrudate or die swell is a phenomenon that takes place during the extrusion of polymeric fluids. When a polymeric fluid is forced through a die to give a polymer its desired shape, due to its viscoelastic non-Newtonian nature, it shows a tendency to swell or contract at the die exit depending on its rheological parameters. The die swell phenomenon is a typical example of a free surface problem where the free surface is formed at the die exit after the polymeric fluid has been extruded. The swelling process leads to an undesired increase in the dimensions of the extrudate. To be able to obtain a near-net shape product, the flow in the extrusion process should be well-understood to shed some light on the important process parameters behind the swelling phenomenon. To this end, a systematic study has been carried out to compare constitutive models proposed in literature for second-order fluids in terms of their ability to capture the physics behind the swelling phenomenon. The effect of various process and rheological parameters on the die swell such as the extrusion velocity, normal stress coefficients, and Reynolds and Deborah numbers have also been investigated. The models developed here can predict both swelling and contraction of the extrudate successfully. The die swell problem was solved for a wide range of Deborah numbers and for two different Re numbers. The numerical model was validated through the solution of fully developed Newtonian and Non-Newtonian viscoelastic flows in a two-dimensional channel, and the results of these two benchmark problems were compared with analytic solutions, and good agreements were obtained.

Flow of second-order fluids over an enclosed rotating disc

1965 ◽  
Vol 15 (1) ◽  
pp. 272-288
Author(s):  
S. K. Sharma ◽  
H. G. Sharma
Keyword(s):  
Second Order ◽  
Rotating Disc ◽  
Second Order Fluids

Flow of second-order fluids with heat transfer

AIAA Journal ◽  
1964 ◽  
Vol 2 (4) ◽  
pp. 749-750 ◽  
Author(s):  
A. C. SRIVASTAVA
Keyword(s):  
Heat Transfer ◽  
Second Order ◽  
Second Order Fluids

Flow of second order fluids in curved pipes

2000 ◽  
Vol 90 (1) ◽  
pp. 91-116 ◽  
Author(s):  
W. Jitchote ◽  
A.M. Robertson
Keyword(s):  
Second Order ◽  
Curved Pipes ◽  
Second Order Fluids

scholarly journals Non-Newtonian Effects of Second-Order Fluids on the Hydrodynamic Lubrication of Inclined Slider Bearings

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Siddangouda Apparao ◽  
Trimbak Vaijanath Biradar ◽  
Neminath Bhujappa Naduvinamani
Keyword(s):  
Frictional Force ◽  
Carrying Capacity ◽  
Second Order ◽  
Load Carrying Capacity ◽  
Film Pressure ◽  
Pressure Load ◽  
Slider Bearings ◽  
Highly Nonlinear ◽  
Load Carrying ◽  
Second Order Fluids

Theoretical study of non-Newtonian effects of second-order fluids on the performance characteristics of inclined slider bearings is presented. An approximate method is used for the solution of the highly nonlinear momentum equations for the second-order fluids. The closed form expressions for the fluid film pressure, load carrying capacity, frictional force, coefficient of friction, and centre of pressure are obtained. The non-Newtonian second order fluid model increases the film pressure, load carrying capacity, and frictional force whereas the center of pressure slightly shifts towards exit region. Further, the frictional coefficient decreases with an increase in the bearing velocity as expected for an ideal fluid.

A generalised Gibbs equation for second-order fluids

1979 ◽  
Vol 12 (12) ◽  
pp. 2515-2520 ◽  
Author(s):  
D Jou ◽  
J M Rubi ◽  
J Casas-Vazquez
Keyword(s):  
Second Order ◽  
Gibbs Equation ◽  
Second Order Fluids
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