scholarly journals II. On plane water lines

1864 ◽  
Vol 13 ◽  
pp. 15-17
Keyword(s):  
Incompressible Fluid ◽  
Solid Body ◽  
Steady Motion ◽  
Water Line ◽  
Vertical Displacements ◽  
William Thomson ◽  
Made In

1. By the term “Plane Water-Line” is meant one of those curves which a particle of a liquid describes in flowing past a solid body when such flow takes place in plane layers. Such curves are suitable for the water-lines of a ship; for during the motion of a well-formed ship, the vertical displacements of the particles of water are small, compared with the dimensions of the ship; so that the assumption that the flow takes place in plane layers, though not absolutely true, is sufficiently near the truth for practical purposes. 2. The author refers to the researches of Professor Stokes (Camb. Trans.1842), “On the Steady Motion of an Incompressible Fluid,” and of Pro-fessor William Thomson (made in 1858, but not yet published), as containing the demonstration of the general principles of the flow of a liquid past a solid body.

scholarly journals X. On plane water-lines in two dimensions

1864 ◽  
Vol 154 ◽  
pp. 369-391 ◽  
Keyword(s):  
Incompressible Fluid ◽  
Steady Motion ◽  
Two Dimensions ◽  
Mathematical Language ◽  
Uniform Thickness ◽  
Single Word ◽  
Water Line ◽  
Significant Term ◽  
Vertical Displacements

(1.) Plane Water-Lines in two Dimensions defined .—By the term “Plane Water-Line in two Dimensions” is meant a curve which a particle of liquid describes in flowing past a solid body, when such flow takes place in plane layers of uniform thickness. Such curves are suitable in practice for the water-lines of a ship, in those cases in which the vertical displacements of the particles of water are small compared with the dimensions of the ship; for in such cases the assumption that the flow takes place in plane layers of uniform thickness, though not absolutely true, is sufficiently near the truth for practical purposes, so far as the determination of good forms of water-line is concerned. As water-line curves have at present no single word to designate them in mathematical language, it is proposed, as a convenient and significant term, to call them Neoïds (from νηòς, the Ionic genitive of νηòς). (2.) General Principles of the Flow of a Liquid past a Solid .—The most complete exposition yet published, so far as I know, of the principles of the flow of a liquid past a solid, is contained in Professor Stokes’s paper “On the Steady Motion of an Incompressible Fluid,” published in the Transactions of the Cambridge Philosophical Society for 1842. So far as those principles will be referred to in the present paper, they may be summed up as follows.

scholarly journals Secondary flow in a curved tube

1973 ◽  
Vol 57 (1) ◽  
pp. 167-176 ◽  
Author(s):  
D. Greenspan
Keyword(s):  
Nonlinear System ◽  
Incompressible Fluid ◽  
Cross Section ◽  
Finite Differences ◽  
Entire Range ◽  
Steady Motion ◽  
Circular Cross Section ◽  
Reynolds Numbers ◽  
Curved Tube ◽  
Computer Calculations

The work of Dean and that of McConalogue & Srivastava on the steady motion of an incompressible fluid through a curved tube of circular cross-section is extended through the entire range of Reynolds numbers for which the flow is laminar. The coupled nonlinear system of partial differential equations which defines the motion is solved numerically by finite differences. Computer calculations are described and physical implications are discussed.

On hydromagnetic waves in a stratified rotating incompressible fluid

1969 ◽  
Vol 39 (2) ◽  
pp. 283-287 ◽  
Author(s):  
R. Hide
Keyword(s):  
Incompressible Fluid ◽  
Angular Speed ◽  
Density Stratification ◽  
Stratified Fluids ◽  
Rotating Fluid ◽  
Rotating Fluids ◽  
Hydrodynamic Behaviour ◽  
Dispersion Relationship ◽  
Hydromagnetic Waves ◽  
Made In

The dispersion relationship for plane hydromagnetic waves in a stratified rotating fluid (α) indicates that the well-known analogy between rotating fluids and stratified fluids in regard to their hydrodynamic behaviour does not extend to magnetohydrodynamic behaviour, and (b) lends credence to a certain conjecture made in a previous paper, namely that effects due to density stratification can be neglected when considering the dispersion relationship for free hydromagnetic oscillations of the Earth's core if the Brunt—Väisälä frequency is much less than twice the angular speed of the Earth's rotation.

STEADY FLOWS OF A VISCOUS INCOMPRESSIBLE FLUID IN A POROUS HALF-SPACE

1994 ◽  
Vol 04 (05) ◽  
pp. 705-732 ◽  
Author(s):  
ARIANNA PASSERINI
Keyword(s):  
Asymptotic Behavior ◽  
Incompressible Fluid ◽  
Half Space ◽  
Viscous Incompressible Fluid ◽  
Steady Motion ◽  
Navier Stokes ◽  
Asymptotic Behavior Of Solutions ◽  
Steady Flows ◽  
Porous Half Space

In this paper we prove the existence and asymptotic behavior of solutions to the equations describing the steady motion of a viscous incompressible fluid in a porous half-space. The results are compared with those already known for the Navier-Stokes model and we find, in particular, that the behavior at large distances is strongly different depending on the value of the incoming flux through the boundary.

Note on hydrodynamics

1953 ◽  
Vol 49 (2) ◽  
pp. 342-354 ◽  
Author(s):  
Charles Darwin
Keyword(s):  
Kinetic Energy ◽  
Incompressible Fluid ◽  
Solid Body ◽  
The Body ◽  
Mechanics Of Fluids ◽  
General Mechanics ◽  
Rotating Body ◽  
Real Fluid ◽  
Fluid Particles

AbstractA study is made of the actual trajectories of fluid particles in certain motions of classical hydrodynamics. When a solid body moves through an incompressible fluid, it induces a drift in the fluid, such that the final positions of the particles are further on than those from which they started. The drift-volume enclosed between the initial and final positions is equal to the volume corresponding to hydrodynamic mass, that is, the mass of fluid to be added to that of the solid in calculating its kinetic energy. This result is proved quite generally. The work involves integrals which are not absolutely convergent, and these are discussed in relation to the general mechanics of fluids. When the trajectories are considered of the fluid surrounding a rotating body, it is shown that the fluid particles slowly drift round the body, even though the motion is irrotational and without circulation. There seems to be in some respects a closer resemblance between the behaviour of the idealized hydrodynamic fluid and a real fluid than might be expected from the well-known discrepancies between them.

scholarly journals Static and modalanalysis of Solidarity Bridge in Płock

2016 ◽  
Vol 15 (1) ◽  
pp. 177-189 ◽  
Author(s):  
Jarosław Bęc ◽  
Michał Jukowski
Keyword(s):  
Suspension Bridge ◽  
The United States ◽  
Wind Pressure ◽  
Temperature Changes ◽  
Wind Action ◽  
Vertical Displacements ◽  
The Town ◽  
North Western ◽  
Cable Stayed Bridges ◽  
Made In

Cable-stayed bridges are stunning structures, which thanks to their dimensionsand shapes fascinate not a single observer. Designing such an object is awesomechallenge for designers. These structures must transfer forces resulting from dead load,operational loads, temperature changes and coming from wind pressure. Nowadays, eachcable-stayed bridge and suspension bridge must be subjected to special analysis to guaranteesafe usage. Designers cannot allow the situation, which took place on November7th,1940 in north-western part of the United States of America near the town Tacoma,where the collapse of the suspension bridge occured. The structure was destroyed as theresult of coincidence of natural vibrations and the dynamic wind action. Authors of thepaper undertake the task to provide dynamic analysis of Solidarity Bridge in Płock exposedto the wind action. The mentioned structure is the longest cable-stayed bridge in Poland andat the same time, the longest in the world with the arch suspended at one axis to the columnarpylon fixed to a platform. Additionally static analysis is made in order to verify horizontaland vertical displacements as the result of combined variable loads.

scholarly journals I. Experiments made to determine surface-conductivity for heat in absolute measure

1872 ◽  
Vol 20 (130-138) ◽  
pp. 90-93 ◽  
Keyword(s):  
Atmospheric Temperature ◽  
Limited Range ◽  
The Other ◽  
Thermo Electric ◽  
Metallic Contact ◽  
Physical Laboratory ◽  
Absolute Measure ◽  
William Thomson ◽  
The University ◽  
Made In

The experiments described in this paper were made in the Physical Laboratory of the University of Glasgow, under the direction of Sir William Thomson, during the summer of 1871. A set of similar experiments were made in 1865 ; but being merely preliminary, carried on by different individuals, and embracing only a limited range of temperatures, it is thought unnecessary to allude further to them here. A copper ball, 2 centimetres radius, having a thermo-electric junction at its centre, was suspended in the interior of a double-walled tin-plate vessel which had the space between the double sides filled with water at the atmospheric temperature, and the interior coated with lamp-black. The other junction was in metallic contact with the outside of the vessel, and the circuit was completed through the coil of a mirror galvanometer. One junction was thus kept at a nearly constant temperature of about 14° Cent., while the other had the gradually diminishing temperature of the ball.

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