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.

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 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>

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.

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.

The Dynamics of Coupled Planar Rigid Bodies. Part 2. Bifurcations, Periodic Solutions, and Chaos

1988 ◽  
Author(s):  
Y.-G. Oh ◽  
N. Sreenath ◽  
P. S. Krishnaprasad ◽  
J. E. Marsden
Keyword(s):  
Periodic Solutions ◽  
Rigid Bodies

Multiple Impacts in Rigid Bodies

2010 ◽  
Vol 14 (14) ◽  
pp. 1-14
Author(s):  
Mohamed Gharib ◽  
Yildirim Hurmuzlu
Keyword(s):  
Rigid Bodies ◽  
Multiple Impacts

Virtual Work & d’Alembert’s Principle

2018 ◽  
Author(s):  
Peter Mann
Keyword(s):  
Euler Equations ◽  
Virtual Work ◽  
Lagrange Equation ◽  
Classical Mechanics ◽  
Rigid Bodies ◽  
Gibbs Function ◽  
Constraint Force ◽  
Appell Equations ◽  
Jourdain's Principle ◽  
D'alembert's Principle

This chapter discusses virtual work, returning to the Newtonian framework to derive the central Lagrange equation, using d’Alembert’s principle. It starts off with a discussion of generalised force, applied force and constraint force. Holonomic constraints and non-holonomic constraint equations are then investigated. The corresponding principles of Gauss (Gauss’s least constraint) and Jourdain are also documented and compared to d’Alembert’s approach before being generalised into the Mangeron–Deleanu principle. Kane’s equations are derived from Jourdain’s principle. The chapter closes with a detailed covering of the Gibbs–Appell equations as the most general equations in classical mechanics. Their reduction to Hamilton’s principle is examined and they are used to derive the Euler equations for rigid bodies. The chapter also discusses Hertz’s least curvature, the Gibbs function and Euler equations.

Sign in / Sign up

Export Citation Format

Share Document