A Collection of Problems in Illustration of the Principles of Theoretical Hydrostatics and Hydrodynamics |
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Page 20
... tube or ordinary barometer , must be greater at the level of the sea than at the summits of mountains . The first independent proof of this conclusion was afforded by Pascal's experiments , in the year 1648 , on the mountain of Puy - de ...
... tube or ordinary barometer , must be greater at the level of the sea than at the summits of mountains . The first independent proof of this conclusion was afforded by Pascal's experiments , in the year 1648 , on the mountain of Puy - de ...
Page 105
... tube , every horizontal section of which is circular , is filled with fluid which is acted on by gravity , the axis of the tube being vertical : to find the law of ( 105 ) CHAPTER IX Tension of vessels containing fluid.
... tube , every horizontal section of which is circular , is filled with fluid which is acted on by gravity , the axis of the tube being vertical : to find the law of ( 105 ) CHAPTER IX Tension of vessels containing fluid.
Page 106
... tube that it may be , in regard to the stress of the fluid , of the same strength throughout . Let t denote the ... tube at the section , and ƒ the force exerted by a unit of thickness , which , by the condition of the problem , will be ...
... tube that it may be , in regard to the stress of the fluid , of the same strength throughout . Let t denote the ... tube at the section , and ƒ the force exerted by a unit of thickness , which , by the condition of the problem , will be ...
Page 126
... tube , of which one branch AB ( fig . 32 ) is horizontal and the other BC vertical , turns with a given uniform velocity about a vertical axis AD ; the portion PBQ of the tube is occupied by incompressible fluid , which remains in ...
... tube , of which one branch AB ( fig . 32 ) is horizontal and the other BC vertical , turns with a given uniform velocity about a vertical axis AD ; the portion PBQ of the tube is occupied by incompressible fluid , which remains in ...
Page 132
... of the problem must be equal to the total vertical pressure which the fluid exerts upon it , we have W = 11⁄2πpr3 ( 3w3r + 4g ) , which determines W. 7. A small tube is so bent as to form 132 GENERAL EQUATIONS OF THE.
... of the problem must be equal to the total vertical pressure which the fluid exerts upon it , we have W = 11⁄2πpr3 ( 3w3r + 4g ) , which determines W. 7. A small tube is so bent as to form 132 GENERAL EQUATIONS OF THE.
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Common terms and phrases
Albert Girard altitude angular velocity aperture axem axes axis vertical base Bernoulli body Bossut Bossut Traité Cambridge centre of gravity centre of pressure coinciding cone cos² cube Daniel Bernoulli denote the density denote the length depth determine distance dx dy Edition efflux elastic equal equation filled with fluid floating fluid displaced force free surface given hemisphere Hence humidum Hydrodynamique immersed vertically inclination incompressible fluid James Bernoulli lamina late Fellow latus rectum motion parabola parallel particles portion position of equilibrium position of rest problem quæ ratio required pressure resultant pressure right angles sesquialterum sin² small orifice solid cylinder specific gravity sphere supposed tangent Treatise triangle Trinity College unit of pressure University of Cambridge vertex vertical line vessel volume weight whole pressure
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