A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 1
... density of the fluid , gpKx will repre- sent the pressure of the fluid on K , and the magnitude of the pressure on the whole surface of the solid will be equal to gpΣ ( Kx ) , where denotes the summation of a series of terms , of which ...
... density of the fluid , gpKx will repre- sent the pressure of the fluid on K , and the magnitude of the pressure on the whole surface of the solid will be equal to gpΣ ( Kx ) , where denotes the summation of a series of terms , of which ...
Page 9
... 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 fluid with one side in the surface ; to determine the whole ...
... 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 fluid with one side in the surface ; to determine the whole ...
Page 15
... density of which varies directly as the depth ; to find the whole pressure on the concave surface of the cylinder . Let h denote the length of the cylinder , c the circumference of a circular section , p the density at the lowest points ...
... density of which varies directly as the depth ; to find the whole pressure on the concave surface of the cylinder . Let h denote the length of the cylinder , c the circumference of a circular section , p the density at the lowest points ...
Page 16
... density of the fluid at the centre of the circle ; the density , at a depth x below the surface , will there- fore be B , where a is the radius of the circle . Then a dp = gp dx p = gB 2a = 9B a x dx , Let r denote the distance of any ...
... density of the fluid at the centre of the circle ; the density , at a depth x below the surface , will there- fore be B , where a is the radius of the circle . Then a dp = gp dx p = gB 2a = 9B a x dx , Let r denote the distance of any ...
Page 17
... density be supposed to vary as the depth , and p to denote the density at the base . Encycl . Metrop . vol . 1. Mixed Sc . p . 176 . Bossut : Traité d'Hydrodynamique , p . 39 . 5. Masses of n different fluids , which do not mix , the ...
... density be supposed to vary as the depth , and p to denote the density at the base . Encycl . Metrop . vol . 1. Mixed Sc . p . 176 . Bossut : Traité d'Hydrodynamique , p . 39 . 5. Masses of n different fluids , which do not mix , 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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