A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page vii
... vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . 157 Variable motion 161 VI . Small finite vertical apertures . Variable motion VII . - Motion of fluids through a system of communicating vessels ...
... vertical orifices . Uniform motion V. - Finite horizontal apertures of any magnitude . 157 Variable motion 161 VI . Small finite vertical apertures . Variable motion VII . - Motion of fluids through a system of communicating vessels ...
Page 9
... vertically in a fluid , one side of the board being coincident with the surface ; to find the pressure on the board . If a denote the length of a horizontal and b of a vertical side of the board , and p the density of the fluid , the ...
... vertically in a fluid , one side of the board being coincident with the surface ; to find the pressure on the board . If a denote the length of a horizontal and b of a vertical side of the board , and p the density of the fluid , the ...
Page 11
... vertical ; to compare the pressures on one of its higher and one of its lower faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of ...
... vertical ; to compare the pressures on one of its higher and one of its lower faces . If P be the pressure on a higher and Q on a lower face , then Q = P ( 2√3 - 1 ) . 17. A symmetrical pyramid is immersed in fluid with the surface of ...
Page 12
... vertically in fluid , the major axis coinciding with the surface ; to find the pressure on the area included between the arc ... vertical , its vertex A being at the surface ; S being its focus and P a point in its arc , to determine the ...
... vertically in fluid , the major axis coinciding with the surface ; to find the pressure on the area included between the arc ... vertical , its vertex A being at the surface ; S being its focus and P a point in its arc , to determine the ...
Page 13
... vertical , and its vertex is the surface of a fluid ; to compare the pressure of the fluid on the area included by the evolute of the ellipse with the pressure on the whole elliptic area . If e be the eccentricity of the ellipse , the ...
... vertical , and its vertex is the surface of a fluid ; to compare the pressure of the fluid on the area included by the evolute of the ellipse with the pressure on the whole elliptic area . If e be the eccentricity of the ellipse , 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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