Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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الصفحة 39
... approximately for the case of large velocities . The theoretical work of Osborne Reynolds * and of Pétroff † is of extreme complexity , partly because Reynolds considered the case of an incomplete cylindrical bearing , and Pétroff ...
... approximately for the case of large velocities . The theoretical work of Osborne Reynolds * and of Pétroff † is of extreme complexity , partly because Reynolds considered the case of an incomplete cylindrical bearing , and Pétroff ...
الصفحة 52
... approximately ) , μ 10- " . = The second row of figures in each case comprises those obtained from Osborne Reynolds ' formulae . do = 10-4 , d1 = 4 × 10-4 U 5 10 20 ( Pmax . - II ) 10-4 Xmax . 2288 .80 1.58 2.99 · 80 1.61 3.22 75 ⚫77 ...
... approximately ) , μ 10- " . = The second row of figures in each case comprises those obtained from Osborne Reynolds ' formulae . do = 10-4 , d1 = 4 × 10-4 U 5 10 20 ( Pmax . - II ) 10-4 Xmax . 2288 .80 1.58 2.99 · 80 1.61 3.22 75 ⚫77 ...
الصفحة 54
... approximately the common solutions of ( 17 ) and ( 18 ) , some slight adjustment being necessary . The following tables give the results of the calculations . The corresponding calculations . in the case of incompressible liquid are not ...
... approximately the common solutions of ( 17 ) and ( 18 ) , some slight adjustment being necessary . The following tables give the results of the calculations . The corresponding calculations . in the case of incompressible liquid are not ...
الصفحة 73
... approximately as far as the position a = 15 ° in Darwin's notation ( v . infra p . 79 ) . § 8. It may be of service to add expressions in terms of q , and v2 for various quantities used in dealing with a spheroid a , a , c where a2 : c2 ...
... approximately as far as the position a = 15 ° in Darwin's notation ( v . infra p . 79 ) . § 8. It may be of service to add expressions in terms of q , and v2 for various quantities used in dealing with a spheroid a , a , c where a2 : c2 ...
الصفحة 74
... approximately e2 F = ( a2 — y2 ) 2 §2 Απρ e2 Ps + G Απρ = - 16 a2 ( P2 - Ps e2 16 . P2 - 12 ) , H H = 4πp } { p1 − 2p : + p . − 2 ( p − } } ) } - P3 - - . ( 33 ) . we have as sufficient approximations 2 With L = loge 74 MR HARGREAVES ...
... approximately e2 F = ( a2 — y2 ) 2 §2 Απρ e2 Ps + G Απρ = - 16 a2 ( P2 - Ps e2 16 . P2 - 12 ) , H H = 4πp } { p1 − 2p : + p . − 2 ( p − } } ) } - P3 - - . ( 33 ) . we have as sufficient approximations 2 With L = loge 74 MR HARGREAVES ...
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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