Kinetic theory and rheology of bead‐rod models for macromolecular solutions. I. Equilibrium and steady flow properties

1974 ◽  
Vol 60 (5) ◽  
pp. 2111-2124 ◽  
Author(s):  
Ole Hassager
Author(s):  
S Bair

A thorough characterization of all viscous flow properties relevant to steady simple shear was carried out for five liquid lubricants of current interest to tribology. Shear stresses were generated to values significant to concentrated contact lubrication. Two types of non-Newtonian response were observed: shear-thinning as a power-law fluid and near rate-independence. Functions and parameters were obtained for the temperature and pressure dependence of the viscosity and of the time constant for the Carreau-Yasuda equation. Results are consistent with free volume and kinetic theory, but directly contradict many assumptions currently utilized for numerical simulation and for extracting rheological properties from contact measurements.


Biorheology ◽  
1992 ◽  
Vol 29 (4) ◽  
pp. 411-417 ◽  
Author(s):  
Takayoshi Matsumoto ◽  
Masahiro Kawai ◽  
Toshiro Masuda

1978 ◽  
Vol 87 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Hüsnü Tözeren ◽  
Richard Skalak

The steady flow of a suspension of closely fitting, neutrally buoyant, incompressible and elastic spheres through a circular cylindrical tube is investigated under the assumption that lubrication theory is valid in the fluid region. A series solution giving the displacement field of an elastic incompressible sphere under axisymmetrically distributed surface tractions is developed. It is found that, for closely fitting particles, flow properties of the suspension are strongly dependent on the shear modulus of the elastic material and the velocity of the particle.


1989 ◽  
Vol 208 ◽  
pp. 25-43 ◽  
Author(s):  
Ronald Smith

Measurements of the rapidly changing gaseous composition in engines at low speed can be made via narrow tubes which convey the gases to monitoring equipment in a less hostile environment. This paper quantifies the extent to which the tube smooths out any changes in concentration. Exact (and approximate) formulae are derived for the temporal variance as weighted double (and single) integrals of the steady flow properties along the tube. Such is the non-uniformity that typically the region near the engine contributes 100 times as much to the spreading as does the region near the monitoring equipment. The advantages of keeping the sampling tubes short and heated are made explicit.


2003 ◽  
Vol 13 (01) ◽  
pp. 99-119 ◽  
Author(s):  
AMAH d'ALMEIDA ◽  
RENÉE GATIGNOL

This paper deals with the analysis of the steady flow of a semi-infinite expanse of rarefied gas bounded by its plane condensed phase by the methods of the discrete kinetic theory. The existence of the solutions of the corresponding boundary value problem is discussed. The relations among the parameters of the flow near the condensed phase and at infinity required for the existence of solutions are established. The problem of condensation of a vapor gas on its own condensed phase is then solved analytically for a particular discrete model and remarkable features of the flow are analyzed.


1994 ◽  
Vol 101 (2) ◽  
pp. 1392-1411 ◽  
Author(s):  
Hector Jorquera ◽  
John S. Dahler

2007 ◽  
Vol 305 (1-2) ◽  
pp. 325-331 ◽  
Author(s):  
S. Nosaka ◽  
T. Ishida ◽  
K. Urayama ◽  
T. Takigawa

1969 ◽  
Vol 91 (2) ◽  
pp. 395-399 ◽  
Author(s):  
J. R. Johanson

The flow of bulk solids such as ore, coal, sugar and salt from storage bins depends on the pressures exerted by the bin walls on the solids. In the past the flow properties of bins have been determined on the basis of steady flow pressures. Recent experimental and theoretical work has shown that much larger pressures may be exerted on the solids during the initial filling of the bin. In this paper the effect of these initial pressures on the flow properties of bins is described and examples given for using the initial pressures to predict flow stoppages.


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