A Treatise on the Mathematical Theory of the Motion of FluidsThe University Press, 1879 - 258 pagina's |
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Pagina vii
... INTEGRATION OF THE EQUATIONS IN SPECIAL CASES . Velocity - Potential . Lagrange's Theorem . Equi - potential sur- faces . Physical interpretation of velocity potential 18 28-30 . Steady Motion 22 31-37 . Examples : Efflux of liquids and ...
... INTEGRATION OF THE EQUATIONS IN SPECIAL CASES . Velocity - Potential . Lagrange's Theorem . Equi - potential sur- faces . Physical interpretation of velocity potential 18 28-30 . Steady Motion 22 31-37 . Examples : Efflux of liquids and ...
Pagina ix
... Integration 206 171 , 172 . Solutions of the exact equations of motion of plane waves 208 Methods of Earnshaw and Riemann , Change of type . 173 . Condition for permanency of type 213 ART . CHAPTER IX . VISCOSITY . 174 , 175 CONTENTS . ix.
... Integration 206 171 , 172 . Solutions of the exact equations of motion of plane waves 208 Methods of Earnshaw and Riemann , Change of type . 173 . Condition for permanency of type 213 ART . CHAPTER IX . VISCOSITY . 174 , 175 CONTENTS . ix.
Pagina 12
... integrating between the limits 0 and 7 , putting X ' = ' Xdt , & c . , 0 J = fpdt , and then making 0 T vanish . In a gas an infinite pressure would involve an infinite density ; whereas no change of density can occur during the ...
... integrating between the limits 0 and 7 , putting X ' = ' Xdt , & c . , 0 J = fpdt , and then making 0 T vanish . In a gas an infinite pressure would involve an infinite density ; whereas no change of density can occur during the ...
Pagina 14
... Salmon , Geometry of Three Dimensions . Let us integrate these equations with respect to t between 14 [ CHAP . I. THE EQUATIONS OF MOTION . 18-21 Weber's Transformation Comparison of the Eulerian and Lagrangian methods.
... Salmon , Geometry of Three Dimensions . Let us integrate these equations with respect to t between 14 [ CHAP . I. THE EQUATIONS OF MOTION . 18-21 Weber's Transformation Comparison of the Eulerian and Lagrangian methods.
Pagina 15
Sir Horace Lamb. Let us integrate these equations with respect to t between the limits 0 and t . We remark that 0 t ... integration in ( 25 ) . We. * H. Weber , Crelle , t . 68 . * H. Weber , Crelle , t . 68 . 17-19 . ] 15 WEBER'S ...
Sir Horace Lamb. Let us integrate these equations with respect to t between the limits 0 and t . We remark that 0 t ... integration in ( 25 ) . We. * H. Weber , Crelle , t . 68 . * H. Weber , Crelle , t . 68 . 17-19 . ] 15 WEBER'S ...
Overige edities - Alles bekijken
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
A Treatise on the Mathematical Theory of the Motion of Fluids Sir Horace Lamb Volledige weergave - 1879 |
Veelvoorkomende woorden en zinsdelen
angle angular velocity Ave Maria Lane axes axis Book boundary C. J. CLAY Cambridge University Press centre Christ's College circle circuit CLAY & SONS co-ordinates coefficients const constant corresponding Crown 8vo curves Demy 8vo denote direction dx dy dz Edited element English equation of continuity equations of motion external Fellow finite fluid forces formulę given Green's theorem Hence impulse infinity integration Introduction irrotational irrotational motion J. E. SANDYS liquid LL.D mass moving Notes obtain orifice origin P. G. TAIT p₁ parallel particle plane portion pressure Professor radius region RENDEL HARRIS rotation satisfied shews simply-connected solid sphere St John's College stream-lines surface theorem Thomson Trans Trinity College University of Cambridge University Press Warehouse velocity-potential vertical vortex waves zero
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