A Treatise on the Mathematical Theory of the Motion of Fluids |
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Page viii
... Function Irrotational motion . Kinetic energy Relations between the velocity potential and the stream - function . 71 Digression on the theory of functions of a complex variable . 982 66 68 Logarithmic function . 80-84 . Examples ...
... Function Irrotational motion . Kinetic energy Relations between the velocity potential and the stream - function . 71 Digression on the theory of functions of a complex variable . 982 66 68 Logarithmic function . 80-84 . Examples ...
Page x
... function 220 180 , 181 . Equations of motion 221 223 Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of viscosity on motion of sound . Uniform motion of a sphere . NOTES . A. Establishment of the ...
... function 220 180 , 181 . Equations of motion 221 223 Boundary - conditions . 182-185 . Examples : Flux through a straight tube Effect of viscosity on motion of sound . Uniform motion of a sphere . NOTES . A. Establishment of the ...
Page 3
... functions of the independent variables x , y , z , t . For any particular value of t they express the motion at that * Reckoned positive when pressures , negative when tensions . Ordinary fluids are , however , incapable of supporting ...
... functions of the independent variables x , y , z , t . For any particular value of t they express the motion at that * Reckoned positive when pressures , negative when tensions . Ordinary fluids are , however , incapable of supporting ...
Page 4
... function of x , y , z , t , and let us calculate the rate at which F varies for a moving particle . This we shall denote by ƏF It a It the symbol being used to express a differentiation following the motion of the fluid . At the time t ...
... function of x , y , z , t , and let us calculate the rate at which F varies for a moving particle . This we shall denote by ƏF It a It the symbol being used to express a differentiation following the motion of the fluid . At the time t ...
Page 6
... functions . The quantities u , v , w must be finite , and in general continuous , though we may have isolated surfaces at which the latter restriction does not hold . If the fluid move so as always to form a continuous mass , a certain ...
... functions . The quantities u , v , w must be finite , and in general continuous , though we may have isolated surfaces at which the latter restriction does not hold . If the fluid move so as always to form a continuous mass , a certain ...
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Common terms and phrases
angle angular velocity Ave Maria Lane axes axis C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates component constant corresponding Crown 8vo cyclic Demy 8vo denote direction dT dT dx dx dx dy dz dy dy dydz Edited element equation of continuity equations of motion Fellow finite fluid forces formula formulæ given Green's Theorem Hence independent circuits infinitely small infinity integral internal boundary irrotational motion liquid LL.D mass moving Notes obtain origin P. G. TAIT parallel particle perpendicular plane xy portion Professor quantities radius RENDEL HARRIS satisfied shews side simply-connected solid sphere St John's College stream-lines surface theorem theory Thomson Trans Trinity College University of Cambridge University Press Warehouse velocity-potential vortex waves zero аф
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