8
9
40
4 q c q q i
4
4 u[m/s] Q ( /)[m] / [s] / s] u[m/s] A[m ] [m Q π N q N q Q c / s] [m N qc N qc Q c Q + Q i t c V Q c
44 τa ma Re 4 / ) ( u u t u V ma ) ( ) ( u u A 4 Re m ma Fr V m ) ( Fr 4
45
Fr u / L u L Fr 46
47 [ W ] Rf [N] u[m/s] R f u [W] [J] [s] [N] [m] [s] [W] [N] [m/s] R f CD A u Au ( ) 4 R 4 5 5 f u ( ) N p N p 5 N p
48 [s] [m] [N] [J] ] [ t s F W W [J/s] [W] T F r r F ) ( ) ( T T ω [ra/s] T [N m] ω r F F r ω
t / 49 t t [s] s t [s] t t t / ω π [ra/s] [ra] t [s] / ω π ω θ/t r ω F ω r F kw=.4 H =.6 S H=Horse ower S=fere Starke
[N] 50 R C A u C( br) ( r) r=α b=β (0 α, β /) R C( 4 ) () r r b [N m] D T rr () () () T 5 / 0 C T 5 / T C 0 N N 5 5
5 K K, α, β, γ, δ, ε [W]=[J s ]=[(N m) s ]=[{(k m s ) m} s ]=[k m s ] K α β ρ γ μ δ ε =[ML T ] [ ] [s ] α =[T ] α [m] β =[L] β [k m ] γ =[ML ] γ [a s] δ =[(N m ) s] δ =[{(k m s ) m } s] δ =[k m s ] δ =[ML T ] δ [m s ] ε =[LT ] ε M L T
M 5 δ ε γ α β 5
5 K 5 ) )( )( ( 5 K K 5 D Fr E KRe N D, E
54 τa u Au ( )( ) R f u f 4 5 5 ( ) p R u N Rf CDA u Au ( ) 4
55 A B T 5 A, B T 5 A B N A Re B N N A Re B
56 N N Fr a lo Re b
φ 57 0
N 58 p 0.66 {0.5 ( b / D)} A 0.Re H. B (si ) 0.66 Re 0.Re D A B p 4 ( b / D)[670{( 0 [. 4{( b / D) 0.5} / D).4( / D)] 0.6} 85]. 4( b / D).5{( / D) 0.5} 7( b / D) 4 p ( p b) p = b ={( p b)/} N N
59 Zwitteri 958
60 Ottes&De Jo 97 [#/(m s)]
6 Gah&Mersma 995 Rittier
6 T. N. Zwieteri, Suspei of soli particles i liqui by aitators, Chemical Eieeri Sciece, 8, 44-5 (958)
6 To ascertai whether the solis were completely suspee, the bottom of the vessel was observe; this coul be oe easily by illumiati the cotets a looki throuh a iclie mirror which was place uereath the vessel. At the borer betwee icomplete a complete suspesio there are particles which settle temporarily at the bottom a remai for a short time i a fixe positio relative to each other. Whe such a small pile remaie at rest loer tha or secos before bei broke up the suspesio was jue icomplete. Whe o eposits remaie o the bottom for more tha sec the suspesio was cosiere complete.
64 6 0 cm 0.5 0.60 m 70 5 50 μm 50 50 μm 70 850 μm
N JS N JS K T a D b c p X ( T / C cost.) T D C p X N JS, T, C, D, p D T C ( Fr) ( Re) JS JS JS N z N z N z z [m] T, D, p ν [m /s] μ/ρ N JS z ( Fr Re ) N JS z ( Fr Re ) NJS z
N JS z 66 i) α β k i α β 0 (α, β) (, ), (4, ), k i, 6, 9, p p (α, β) (p, p) p p ( ) Fr Fr Re p Re Fr Re p z p JS JS JS p N N N Fr Re N JS
ii) α β 0 α β k i (α, β) (, ), (, 4), 67 k i, 6, 9, q q (α, β) ( q, q) ( Fr Re ) q Re q Re q Fr Fr q q JS q N z z z Re Fr z
68 z T, C, D, p T C D p N JS c b a X D T K N p JS ) ( p JS e b a X D D T K N e c e c c e a Zwieteri c=0.0, =0., e= 0.78 0.94 e= 0.85 0.0 0.85) ( (0.0) e c 0.45 0.85 0.0 e c
69 N JS 0.0 S L L 0.45 N JS K K K 0.0 p X 0. N 0.0 JS D { ( 0.85 S L ) L } 0.45 K T D a ( S) N JS S 0.0 0.0 p ( Δ D 0.85 L ) 0.45 X 0. Zwieteri
0.0 p X 0. N 0.0 JS D { ( 0.85 S L ) L } 0.45 K T D a ( S) S ( T / D) a a=0.8 (propeller),. (isc turbie) T. N. Zwieteri, Suspei of soli particles i liqui by aitators, Chem. E. Sci., 8, 44-5 (958)
a S ( T / D) a=0.8 (propeller),. (isc turbie) 7 N JS SD 0.85 T a D (0.85 a) T N JS D (0.85 a ) ( T cost.) JS N JS D 5 D (0.85 a) D 5 D.45 a JS D 0.0 (propeller) JS D.45 (isc turbie)
7 N JS SD 0.85 5 0.85 JS NpNJS D Np SD ) ( D N S D 5 p.45.45.45 JS /( JS ) propeller NpS D /( NpS D ) propeller Table Relative JS at optimum eometry Impeller S N p D/T C /T N p S D.45 (N p S D.45 )/(N p S D.45 )propeller propeller 6.6 0.5 / /4 9.70.0 vae isc.5 4.6 / /6 6.6.7 isc turbie.9 5.0 / /6 54.0 5.6 pale( blaes, /D). 5.9 / /7 6.6.7 S N p
7 / b /b D /D H /H Re Re Re (ρ =ρ, μ =μ ) 5 5 ) ( ) (
Fr 74 Fr Fr / ( ( ) ) / / 7 / 7 / 7 / 7 / (ρ =ρ ) ρ, μ Re Fr /V ( ) V ( ) ( / 4) D H ( / 4) D V H (/V) / ={π(d /) H }/{π(d /) H }=(D /D ) (H /H )
75 D /D = / H /H = / N p Re N 5 5 N / =(ρ 5 )/(ρ 5 ) / =( / ) (ρ =ρ ) ( / ) =( 5 )/( 5 ) ( / ) =( / ) /
76 u u π π u ) ( ) ( (ρ =ρ )
77 スケールアップに伴う動力比の変化
v /V