scholarly journals Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Fei Jiang
Keyword(s):  
Material Property ◽  
Viscoelastic Fluids ◽  
Original State ◽  
Elastic Fluid ◽  
Stabilizing Effect ◽  
Elastic Fluids ◽  
Elastic Characteristics

<p style='text-indent:20px;'>It is well-known that viscoelasticity is a material property that exhibits both viscous and elastic characteristics with deformation. In particular, an elastic fluid strains when it is stretched and quickly returns to its original state once the stress is removed. In this review, we first introduce some mathematical results, which exhibit the stabilizing effect of elasticity on the motion of viscoelastic fluids. Then we further briefly introduce similar stabilizing effect in the elastic fluids.</p>

William Brownrigg's papers on fire-damps

2010 ◽  
Vol 64 (3) ◽  
pp. 261-270 ◽  
Author(s):  
Leslie Tomory
Keyword(s):  
Royal Society ◽  
Heterogeneous Mixture ◽  
Gaseous State ◽  
Atmospheric Air ◽  
Elastic Fluid ◽  
State Of Matter ◽  
Elastic Fluids

In 1741–42, William Brownrigg prepared five papers on fire-damps for the Royal Society in which he articulated a theory of a gaseous state of matter, argued that different sorts of elastic fluid existed, and claimed that atmospheric air was a heterogeneous mixture of various elastic fluids with different properties that had only their elasticity in common. Although these papers were never published, there is a strong possibility that they influenced the later development of pneumatic chemistry, because Henry Cavendish was very probably aware of a good portion of their contents.

scholarly journals III. On the true theory of pressure as applied to elastic fluids

1863 ◽  
Vol 12 ◽  
pp. 242-246
Keyword(s):  
Rigid Bodies ◽  
Elastic Fluid ◽  
True Theory ◽  
Elastic Fluids ◽  
Generally True

It is the author’s object— I. To show that, in elastic fluids in motion, or tending to move, it is not generally true, or at least not accurately true, that the pressure depends solely on the density, as is assumed in the ordinary theory of the motion of elastic fluids. II. To show that, within certain limits and under certain circumstances, pressure may be transmitted instantaneously from one point of an elastic fluid to other points situated at finite distances from the first, before any change has been effected in the density of the intermediate fluid—in a manner analogous to that in which, in the theory of dynamics as applied to rigid bodies, force is assumed to be propagated instantaneously from one point to another.

Effect of Elastic Properties of the Fluids on the Particle Settling Velocity

2017 ◽  
Author(s):  
Sumanth Kumar Arnipally ◽  
Ergun Kuru
Keyword(s):  
Elastic Properties ◽  
Shear Viscosity ◽  
Settling Velocity ◽  
Relaxation Times ◽  
Average Diameter ◽  
Spherical Particles ◽  
Molecular Weights ◽  
Elastic Fluids ◽  
The Impact ◽  
Elastic Characteristics

An experimental study was performed to investigate the influence of fluid elastic properties on the settling velocity of spherical particles in viscoelastic polymer fluids. The Particle Image Shadowgraph (PIS) technique was used to measure the settling velocity of the spherical particles (with average diameter of 2mm) in the hydrolyzed poly acrylamide (HPAM) polymer test fluids. Test fluids were prepared by mixing 3 different grades of HPAM (with molecular weights of; 500,000; 8,000,000; and 20,000,000) at polymer concentrations of 0.09 and 0.1% by weight. Shear viscosity and oscillatory measurements were carried out to characterize the test fluids. The test fluids were formulated in such a way that they had almost identical shear viscosity characteristics while showing significantly different elastic properties. The relaxation time was used to quantify the elastic characteristics of the fluids. To quantify the impact of elasticity, the experimentally measured settling velocities were compared to the values calculated by using the model developed for predicting settling velocity of spherical particles in power law (visco-inelastic) fluids [1]. Experimental results indicated that the settling velocity of spherical particles in visco-elastic fluids decreased significantly with the increasing elasticity (measured in terms of relaxation times) of the fluids.

scholarly journals On the thermal effects of elastic fluids

1854 ◽  
Vol 6 ◽  
pp. 331-332
Keyword(s):  
Porous Material ◽  
Thermal Effects ◽  
Royal Society ◽  
Steam Engine ◽  
Small Scale ◽  
Atmospheric Air ◽  
Elastic Fluid ◽  
Sources Of Error ◽  
Introductory Part ◽  
Elastic Fluids

The authors had already proved by experiments conducted on a small scale, that when dry atmospheric air, exposed to pressure, is made to percolate a plug of non-conducting porous material, a depression of temperature takes place increasing in some proportion with the pressure of the air in the receiver. The numerous sources of error which were to be apprehended in experiments of this kind conducted on a small scale, induced the authors to apply for the means of executing them on a larger scale; and the present paper contains the introductory part of their researches with apparatus furnished by the Royal Society, comprising a force pump worked by a steam-engine and capable of propelling 250 cubic inches of air per second, and a series of tubes by which the elastic fluid is conveyed through a bath of water, by which its temperature is regulated, a flange at the terminal permitting the attachment of any nozle which is desired.

Effect of Inertia on the Stability of Film Casting of Viscoelastic Fluids

2006 ◽  
Author(s):  
R. German ◽  
R. E. Khayat
Keyword(s):  
Stability Analysis ◽  
Linear Stability Analysis ◽  
Rheological Model ◽  
Draw Ratio ◽  
Viscoelastic Fluids ◽  
Deborah Number ◽  
Two Dimensional ◽  
Film Casting ◽  
Stabilizing Effect ◽  
The Stability

The influence of inertia on the stability of isothermal film casting of viscoelastic fluids is examined using a Phan-Thien and Tanner rheological model. The linear stability analysis for two-dimensional disturbances is carried out. The numerical results indicate that the flow can have single or double critical draw ratio depending on the model parameter. While in the former case the flow is stable below and unstable above a critical draw ratio, in the latter case the flow is stable below the lower and above the upper critical draw ratio and unstable between the two values. The inertia is found to have a stabilizing effect on the flow. It is also found that there is a region of Deborah number, where the inertia has a stronger stabilizing effect on stability of flow than elsewhere.

scholarly journals XIII. On the constitution of the atmosphere

1826 ◽  
Vol 116 ◽  
pp. 174-187 ◽  
Keyword(s):  
Mechanical Properties ◽  
Sir Isaac Newton ◽  
Atmospheric Air ◽  
Isaac Newton ◽  
Elastic Fluid ◽  
Elastic Fluids

The fact discovered by Boyle and Marriotte, that the space occupied by air is in the inverse ratio of the pressure, is one of great importance in the doctrine of elastic fluids. It may probably not be mathematically true in extreme cases; but in those where the condensations and rarefactions do not exceed 50 or 100 times, there is reason to believe the above ratio is a very near approximation to the truth. Sir Isaac Newton has shown in the 23d prop, book ii. of the Principia, that if homogeneous particles of matter were endued with a power of repulsion in the inverse ratio of their central distances, collectively they would form an elastic fluid agreeing with atmospheric air in its mechanical properties. He does not infer from this demonstration that elastic fluids must necessarily consist of such particles; and his argument requires that the repulsive power of each particle terminate, or very nearly so, in the adjacent particles. From the scholium to this proposition, Newton was evidently aware of the difficulty of conceiving how the repulsive action of such particles could terminate so abruptly as his supposition demands; but in order to show that such cases exist in nature, he finds a parallel one in magnetism.

Economical Pavement Design by Stabilizing Effect of Fly Ash and Lime

2012 ◽  
Vol 2 (3) ◽  
pp. 121-124
Author(s):  
Prof. N. R. Patil Prof. N. R. Patil ◽  
◽  
Prof. D. R. Kulkarni Prof. D. R. Kulkarni ◽  
Prof. S. D. Talegaonkar Prof. S. D. Talegaonkar
Keyword(s):  
Fly Ash ◽  
Pavement Design ◽  
Stabilizing Effect
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