A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page vii
... horizontal orifices . Uniform motion 156 IV . - Finite vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . 157 Variable motion 161 VI . Small finite vertical apertures . Variable motion VII . - Motion ...
... horizontal orifices . Uniform motion 156 IV . - Finite vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . 157 Variable motion 161 VI . Small finite vertical apertures . Variable motion VII . - Motion ...
Page 4
... horizontal surface of the fluid . 2. A solid cylinder is immersed in a fluid , the depths of the centres of its circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its ...
... horizontal surface of the fluid . 2. A solid cylinder is immersed in a fluid , the depths of the centres of its circular ends being h , h ' , its radius r , and its length 7 ; to determine the pressure on its surface , including its ...
Page 5
... horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions may be respectively in the ratio of m : n . Let h be the altitude of the proposed triangle , and h ...
... horizontal ; to determine how it must be divided by a line parallel to the base , that the pressures upon the upper and lower portions may be respectively in the ratio of m : n . Let h be the altitude of the proposed triangle , and h ...
Page 6
... an annular strip of the bowl included between two consecutive horizontal planes , will be equal to gp . 2πr sin 0.rd0 . r cos 0 πgpr3 sin 20d0 . = Hence the required ratio will be equal to sin 20d0 6 NORMAL PRESSURE OF FLUIDS .
... an annular strip of the bowl included between two consecutive horizontal planes , will be equal to gp . 2πr sin 0.rd0 . r cos 0 πgpr3 sin 20d0 . = Hence the required ratio will be equal to sin 20d0 6 NORMAL PRESSURE OF FLUIDS .
Page 9
... horizontal and b of a vertical side of the board , and p the density of the fluid , the required pressure will be equal to gpab2 . Bossut : Traité d'Hydrodynamique , tom I. p . 33 . 10. A triangle of any form is immersed vertically in a ...
... horizontal and b of a vertical side of the board , and p the density of the fluid , the required pressure will be equal to gpab2 . Bossut : Traité d'Hydrodynamique , tom I. p . 33 . 10. A triangle of any form is immersed vertically in a ...
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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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