A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 2
... surface of the fluid is free from pressure : should this not be the case , we must consider x to denote the sum of the depth of K below the surface of the fluid and the length ( H ) of a vertical column of the fluid which would exert a ...
... surface of the fluid is free from pressure : should this not be the case , we must consider x to denote the sum of the depth of K below the surface of the fluid and the length ( H ) of a vertical column of the fluid which would exert a ...
Page 70
... surface by the exertion of forces P and Q respectively , the surface of the fluid being exposed to the atmospheric ... free from water . Then , for the equilibrium of the upright cylinder , 70 EQUILIBRIUM OF SOLID BODIES.
... surface by the exertion of forces P and Q respectively , the surface of the fluid being exposed to the atmospheric ... free from water . Then , for the equilibrium of the upright cylinder , 70 EQUILIBRIUM OF SOLID BODIES.
Page 111
... free surface or one of equal pressure , dp must evidently be zero : hence or Xdx + Ydy + Z đã Rdr = 0 . = 0 , The general problem of the form and circumstances of the equilibrium of a fluid acted on by any system of forces , began about ...
... free surface or one of equal pressure , dp must evidently be zero : hence or Xdx + Ydy + Z đã Rdr = 0 . = 0 , The general problem of the form and circumstances of the equilibrium of a fluid acted on by any system of forces , began about ...
Page 113
... surface of the fluid in equilibrium and the pressure at any point within it , the surface of the fluid being free from pressure . Let p be the density of the fluid , p the pressure at any point at a distance from the centre of force ...
... surface of the fluid in equilibrium and the pressure at any point within it , the surface of the fluid being free from pressure . Let p be the density of the fluid , p the pressure at any point at a distance from the centre of force ...
Page 116
... free surface . Since p 0 at every point of a free surface , we have = Xdæ + Ydy + Zdz = 0 . . . ( 1 ) . Now , x , y , z , being the 116 GENERAL EQUATIONS OF THE.
... free surface . Since p 0 at every point of a free surface , we have = Xdæ + Ydy + Zdz = 0 . . . ( 1 ) . Now , x , y , z , being the 116 GENERAL EQUATIONS OF THE.
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Common terms and phrases
ABCD Albert Girard altitude angular velocity aperture axis axis of revolution axis vertical base Bernoulli Bossut Traité Cambridge centre of gravity centre of pressure cone constant quantity cos² Daniel Bernoulli denote the density denote the length denote the radius depth determine distance dx dy Edition elastic equal equation filled with fluid floating fluid displaced free surface given hemisphere Hence humidum inclination incompressible fluid integrating James Bernoulli John Bernoulli lamina latus rectum mass motion oscillation parabola paraboloid of revolution parallel particles Phoronomia portion position of equilibrium position of rest problem ratio represent right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed Traité d'Hydrodynamique Treatise triangle tube vertex volume w³y² weight whole pressure
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