A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page v
... surfaces of immersed solids 1 II . — Normal pressure of heterogeneous fluids on the surfaces of immersed solids 14 III . - Normal pressure of aeriform fluids of uniform temperature on the surfaces of solids 19 CHAPTER II . Resultant ...
... surfaces of immersed solids 1 II . — Normal pressure of heterogeneous fluids on the surfaces of immersed solids 14 III . - Normal pressure of aeriform fluids of uniform temperature on the surfaces of solids 19 CHAPTER II . Resultant ...
Page 1
... Surfaces of Immersed Solids . LET K denote any indefinitely small element of the surface of a solid immersed in a fluid , and let z represent the depth of K below the surface of the fluid ; then , g denoting the accelerating force of ...
... Surfaces of Immersed Solids . LET K denote any indefinitely small element of the surface of a solid immersed in a fluid , and let z represent the depth of K below the surface of the fluid ; then , g denoting the accelerating force of ...
Page 2
... surface of the fluid . 119 Whenever , as is most commonly the case , the position of the centre of gravity of the surface of the immersed solid is not known , and it cannot be subdivided into any finite number of areas of which the ...
... surface of the fluid . 119 Whenever , as is most commonly the case , the position of the centre of gravity of the surface of the immersed solid is not known , and it cannot be subdivided into any finite number of areas of which the ...
Page 4
... 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 extremities ...
... 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 extremities ...
Page 5
... surface of the fluid may be varied . We have solved this problem by means of COR . ( 2 ) . It might have been solved however somewhat more simply by means of COR . ( 1 ) . In fact , the whole surface of the cylinder being equal to 2π2 + ...
... surface of the fluid may be varied . We have solved this problem by means of COR . ( 2 ) . It might have been solved however somewhat more simply by means of COR . ( 1 ) . In fact , the whole surface of the cylinder being equal to 2π2 + ...
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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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