"NAVIER, (CLAUDE L.M.H.). - THE NAVIER-STOKES EQUATIONS FOR FLUID FLOW.
Reference : 43864
(1821)
Paris, Crochard, 1821. Without wrappers. In 'Annales de Chimie et de Physique', Volume 19, Cahier 3. Titlepage to vol. 19. Pp. 225-335. Navier's paper: pp. 244-260. Verso of titlepage with small stamps. Clean and fine.
First appearance of Navier's famous paper in which he describes the relations between fluid flow and friction, giving the FUNDAMENTAL EQUATIONS OF THE MATHEMATICAL THEORY OF ELASTICITY. The full paper was not published until 1828. Stokes's analysis of the internal friction of fluids was published in 1845, and as he was not familiar with the French litterature of mathematical physics, he derived independently his own equations, which accounts for the double-name ofthe equations. ""The Navier-Stokes equation is now regarded as the universal basis of fluid mechanics, no matter how complex and unpredictable the behavior of its solutions may be. It is also known to be the only hydrodynamic equation that is compatible with the isotropy and linearity of the stress-strain relation."" (Olivier Darrigol).""Navier studied the motion of solid and liquid bodies, deriving the partial differential equations to which he applied Fourier's methods to find particular solutions. This theoretical research led him to formulate the well-known equation identified with his name and that of Stokes. Navier viewed bodies as made up of particles which are close to each other and which act on each other by means of two opposing forces - one of attraction and one of repulsion - which, when in a state of equilibrium, cancel each otherout. The repelling force resulted from the caloric that a body possessed. When equilibrium is disturbed in a solid, a restoring force acts which is proportional to the change in distance between the particles.""(DSB, X, p. 4).""The equations are useful because they describe the physics of many things of academic and economic interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing. The Navier-Stokes equations in their full and simplified forms help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other things. Coupled with Maxwell's equations they can be used to model and study magnetohydrodynamics. ""(Wikipedia).
"NAVIER, (CLAUDE L.M.H.). - THE NAVIER-STOKES EQUATIONS FOR FLUID FLOW.
Reference : 47074
(1821)
Paris, Crochard, 1821. Contemp. hcalf. Spine gilt with tome-and titlelabels with gilt lettering. Wear to top of spine. A crack along first hinge, but cover not loose. In 'Annales de Chimie et de Physique', Volume 19. (Entire volume offered). 448 pp. a. 2 plates. Navier's paper: pp. 244-260. A faint dampstain to margins of the first 20 leaves and a bit seen on the following pages, decreasing.
First appearance of Navier's famous paper in which he describes the relations between fluid flow and friction, giving the FUNDAMENTAL EQUATIONS OF THE MATHEMATICAL THEORY OF ELASTICITY. The full paper was not published until 1828. Stokes's analysis of the internal friction of fluids was published in 1845, and as he was not familiar with the French litterature of mathematical physics, he derived independently his own equations, which accounts for the double-name of the equations. ""The Navier-Stokes equation is now regarded as the universal basis of fluid mechanics, no matter how complex and unpredictable the behavior of its solutions may be. It is also known to be the only hydrodynamic equation that is compatible with the isotropy and linearity of the stress-strain relation."" (Olivier Darrigol).""Navier studied the motion of solid and liquid bodies, deriving the partial differential equations to which he applied Fourier's methods to find particular solutions. This theoretical research led him to formulate the well-known equation identified with his name and that of Stokes. Navier viewed bodies as made up of particles which are close to each other and which act on each other by means of two opposing forces - one of attraction and one of repulsion - which, when in a state of equilibrium, cancel each otherout. The repelling force resulted from the caloric that a body possessed. When equilibrium is disturbed in a solid, a restoring force acts which is proportional to the change in distance between the particles.""(DSB, X, p. 4).""The equations are useful because they describe the physics of many things of academic and economic interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing. The Navier-Stokes equations in their full and simplified forms help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other things. Coupled with Maxwell's equations they can be used to model and study magnetohydrodynamics. ""(Wikipedia).
"NAVIER, (CLAUDE L.M.H.). - THE NAVIER-STOKES EQUATIONS FOR FLUID FLOW.
Reference : 49138
(1821)
(Paris, Crochard, 1821). No wrappers. In 'Annales de Chimie et de Physique', Volume 19, Cahier 3. Pp. 225-236 (Entire issue offered with halftitle to vol. 19). Navier's paper: pp. 244-260. A few scattered brownspots. Some browning to halftitlepage.
First appearance of Navier's famous paper in which he describes the relations between fluid flow and friction, giving the FUNDAMENTAL EQUATIONS OF THE MATHEMATICAL THEORY OF ELASTICITY. The full paper was not published until 1828. Stokes's analysis of the internal friction of fluids was published in 1845, and as he was not familiar with the French litterature of mathematical physics, he derived independently his own equations, which accounts for the double-name of the equations. ""The Navier-Stokes equation is now regarded as the universal basis of fluid mechanics, no matter how complex and unpredictable the behavior of its solutions may be. It is also known to be the only hydrodynamic equation that is compatible with the isotropy and linearity of the stress-strain relation."" (Olivier Darrigol).""Navier studied the motion of solid and liquid bodies, deriving the partial differential equations to which he applied Fourier's methods to find particular solutions. This theoretical research led him to formulate the well-known equation identified with his name and that of Stokes. Navier viewed bodies as made up of particles which are close to each other and which act on each other by means of two opposing forces - one of attraction and one of repulsion - which, when in a state of equilibrium, cancel each otherout. The repelling force resulted from the caloric that a body possessed. When equilibrium is disturbed in a solid, a restoring force acts which is proportional to the change in distance between the particles.""(DSB, X, p. 4).""The equations are useful because they describe the physics of many things of academic and economic interest. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing. The Navier-Stokes equations in their full and simplified forms help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other things. Coupled with Maxwell's equations they can be used to model and study magnetohydrodynamics. ""(Wikipedia).
"POISEUILLE, (JEAN LÉONARD MARIE). - ESTABLISHING ""POISEUILLE'S LAW"" OF THE FLOW OF LIQUIDS IN TUBES.
Reference : 49455
(1840)
Paris, Bachelier, 1840-41. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome XI, No 24 a. 26, Tome XII, No 2. (3 entire issues offered). Pp. 933-990, pp. 1021-1067 a. pp. 28-124. Poiseuille's paper: pp. 961-967, 1041-1048 a. pp. 112-115.
First printing of this importent paper in physiology and hydrodynamics, establishing the law which was later named after him. ""Together with Hagen, Poiseuille established the dependence of the flow on the driving pressure, the diameter and the length of the tube and on the viscosity of the fluid. This relation, which is named after him, is fundamental in all hydrodynamic considerations of the circulatory system,""(Gedeon ""Science and Technology in Medicine"", p. 188).""Poiseuille’s interest in blood circulation led him to experiment on the flow and outflow of distilled water in capillary tubes with diameters ranging from 0.03 mm. to 0.14 mm. Such experiments had been carried out before, especially by Franz Joseph von Gerstner and Pierre-Simon Girard"" but since they used tubes with larger diameters, their experiments were disturbed by turbulence. In his 1840 paper, ""Recherches expérimentales sur le movement des liquides dans les tubes de très-petits diamètres,"" Poiseuille announced the law Q = k(D4p/L), where Q is the volume discharged in unit time, k is a constant, p is the pressure difference in mm. of mercury at the two ends of the tube, D is the diameter, and L is the length. He also measured the variation of Q with the temperature T (from 0° C. to 45° C.) and found Q = 1836.724 × (1 + 0.0336793T + 0.0002209936T2)(D4p/L), which agrees within 0.5 percent with modern values. Poiseuille also found that the law was not valid if the length L (as a function of the diameter) was below a certain limit.""(DSB).Garrison & Morton: 768
FOURIER, (JEAN BAPTISTE JOSEPH) - INVESTIGATIONS ON HEAT FLOW.
Reference : 44899
(1828)
(Paris, Crochard, 1828). 8vo. Without wrappers. Extract from 'Annales de Chimie et de Physique', Series 2 - Volume 37. With halftitle to vol. 37. Pp. 291-315 and 1 folded engraved plate, depicting experimental apparatus and the new contact thermometer.
First appearance of an importent paper investigating the heat flow in different substances by using his new contact thermometer.
Taipei, SMC Publishing, 2009. 1 thick volume, in-4, 426 pp., illustrated with hundreds of b.& w. and colour plates, hard bound with a colourful dust jacket, new book.
This is the best book written on opium and opium paraphernalia by a world collector. This volume presents a full life collection, gathered with love and passion, patience and tenacity. A must have for any opium collector.
Taipei, SMC Publishing, 2009. 1 thick volume, in-4, 426 pp., illustrated with hundreds of b.& w. and colour plates, hard bound with a colourful dust jacket, new book.
This is the best book written on opium and opium paraphernalia by a world collector. This volume presents a full life collection, gathered with love and passion, patience and tenacity. A must have for any opium collector.
Taipei, SMC Publishing, 2009. 1 thick volume, in-4, 426 pp., illustrated with hundreds of b.& w. and colour plates, hard bound with a colourful dust jacket, new book.
This is the best book written on opium and opium paraphernalia by a world collector. This volume presents a full life collection, gathered with love and passion, patience and tenacity. A must have for any opium collector.