Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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الصفحة
... Boundary of a Gaseous Star . By E. A. MILNE , M.A. , Trinity College , Cambridge 483 XXVII . Some Problems of Diophantine Approximation : The Analytic Properties of Certain Dirichlet's Series associated with the Distribution of Numbers ...
... Boundary of a Gaseous Star . By E. A. MILNE , M.A. , Trinity College , Cambridge 483 XXVII . Some Problems of Diophantine Approximation : The Analytic Properties of Certain Dirichlet's Series associated with the Distribution of Numbers ...
الصفحة 40
... equation of continuity is ди av + = дх ду 0 * Zeitschrift für Mathematik , Leipzig , 52 , 1905 , pp . 123–137 . . ( 1 ) , . ( 2 ) , . ( 3 ) . The boundary conditions are u = U , v = 40 MR HARRISON , THE HYDRODYNAMICAL THEORY OF LUBRICATION.
... equation of continuity is ди av + = дх ду 0 * Zeitschrift für Mathematik , Leipzig , 52 , 1905 , pp . 123–137 . . ( 1 ) , . ( 2 ) , . ( 3 ) . The boundary conditions are u = U , v = 40 MR HARRISON , THE HYDRODYNAMICAL THEORY OF LUBRICATION.
الصفحة 41
... boundary conditions ( 4 ) . ди Shady -- [ - ] - дх 0 Now from ( 3 ) Hence which gives = 0 . a h дх 2 ( 421 ) - Əh 6μυ dx ' h3 др = 6μU ( h - h1 ) , дх where h1 is the value of h at a place of stationary pressure . 0 P Fig . 1 . In the ...
... boundary conditions ( 4 ) . ди Shady -- [ - ] - дх 0 Now from ( 3 ) Hence which gives = 0 . a h дх 2 ( 421 ) - Əh 6μυ dx ' h3 др = 6μU ( h - h1 ) , дх where h1 is the value of h at a place of stationary pressure . 0 P Fig . 1 . In the ...
الصفحة 48
... boundary conditions ( 4 ) . Equation ( 11 ) , above , becomes Hence 1 dp u = y ( y − h ) 2μ dr U - ( y - h ) . h pv y = h 10 = - - for ( pu ) dy h3 Uh - & [ p ( - 1 dp + 4 Ur ) ] . = дх But v = 0 at y = 0 , y = h , and accordingly 12μ ...
... boundary conditions ( 4 ) . Equation ( 11 ) , above , becomes Hence 1 dp u = y ( y − h ) 2μ dr U - ( y - h ) . h pv y = h 10 = - - for ( pu ) dy h3 Uh - & [ p ( - 1 dp + 4 Ur ) ] . = дх But v = 0 at y = 0 , y = h , and accordingly 12μ ...
الصفحة 63
... boundaries different in character reaching these points as a terminus in different directions . Thus points near O ... boundary 70 or SGP . The figure may be duplicated by interchanging x and y or taking the two axes about which there ...
... boundaries different in character reaching these points as a terminus in different directions . Thus points near O ... boundary 70 or SGP . The figure may be duplicated by interchanging x and y or taking the two axes about which there ...
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a₁ angle approximately asymptotic expansion atmosphere Axiom of Archimedes axis b₁ c₁ calculated coefficients considered constant convergent convex set cordon corresponding cos² curve d₁ definition denote density determined differential equations disturbance diurnal diurnal variations dyadic earth equal escape expression factor finite follows formula free path function G. H. Hardy giant star given h₂ Hence integral equation invariant Jacobian k₁ k₂ magnitude molecules obtained orbit paper parameters partitions plane positive potential Primitive Roots ratio relation respectively result rotation scalar shew shewn sin² solar solid angle solutions substitution suppose surface t₁ theorem theory v₁ values vector velocity w₁ X₁ XXII zero Σ Σ дх