平成12年度
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- つかさ いさし
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4 1 1-1 (1) 150[ml] 500[ml/] Cerebral Ventricle Brain 1-1
5 2 ( ) [mm] 13 14[mm] 1-2
6 3 ( ) (2)
7 4 2-1 (cerebral ventricle) (peritoneum) R O p O Cerebral Ventricle Valve Brain R o R i P i Peritoneum P o d P l h 2-1
8 5 V(t) Q( ) d v(t) dv dt 2 πd = Q v (1) 4 V R i 4 3 V = πr i (2) 3 (2) (1) dr dt i 2 1 πd = Q v R (3) 2 4π i 4 v p i p o g h p l p i + ρgh = p o l + λ d ρ v p ( p p + ρgh p) d i o v = 2 (4) λlρ 64 16πd µ λ = = (5) Re Q ρ (4) p i r β δ = αr + (6) 2 r
9 6 (r=r o ) =0 β 0 = α Ro + R o 3 β = αr o (7) (7) (6) αro r δ = αr = α 2 r 3 3 R r 3 o (8) (3) p i 1 + ν β = 2G α ν Ri 1 + ν R = 2G α + 2α 1 2ν R 1 + ν R = 2Gα ν R o i 3 o 3 i 3 (9) t R i R old i 8 δ = α old 3 ( Ri ) old ( R ) i 2 R 3 o dr = dt i t Ri α = 3 R R o 2 3 i dr dt i t (10) p i 3 o 2 i R = 2G R R 3 i dr dt i 1 + ν R t ν R o i 3 (11) (4) (3) dr dt i 2 1 2dπd = Q p p + gh p i o ρ (12) 2 4πR i 4 λlρ (11) p i t
10 7 ARES 1000[rpm]10 ARES ( [g cm])
11 8 2-2ARES 2-3
12 9 L R B M τ τ = M 2 πl ( ) 3 R B γ& τ µ = & γ L=32 R B =
13 10 20[mm]
14 11 500[ml] 21[ml/h] 300[ml/h] h h h p p 1 p 2 =998 [kg/m 3] g 1.2[mm] valve d=1.2[mm] Tube h l=0.67[m] p 2-6 p 1 =p 2 p 1 + ρ gh = p 2 l + λ d ρ v p l p = ρgh λ d ρ 2 2 v =110-3 [Pa s] Q [ml/h] 16πdµ λ = Qρ
15 p 2-7
16 13 G=4.14 [kpa] (4) G h=0.7[m]l=1 [m]d=1.2 [mm]r o =7.5 [cm] = [Pa s] =110 3 [kg/m 3 ]Q=500 [ml/day] =0.42 R i =2.5 [cm] [Pa] [Pa] [Pa] [Pa] (5) p i = [Pa] p o = [Pa]( ) p i t G 3-1
17 14 i R G t 3-2 R i G 3-3 R i G
18 G 3-2 G G G=3000[Pa] G=3000[Pa] G=4000[Pa] = h=0.7 [m]l=1 [m]d=1.2 [mm] p o = [Pa]( )R o =7.5 [cm]= [Pa s] =110 3 [kg/m 3 ] Q=500 [ml/day]g=4.14 [kpa] p i = [Pa]R i =2.5 [cm]
19 16 p i t 3-4 R i t 3-5
20 17 h p i 3-6 l=1 [m] d=1.2 [mm] p o = [Pa]R o =15 [cm] =110-3 [Pa s] =110 3 [kg/m 3 ]Q=500 [ml/day] =0.42G=4.14 [kpa] p=1000 [Pa] p i = [Pa]R i =5 [cm] h h 0.1 [m] 1[kPa] h p i t 3-6 h
21 18 p i R i v p h=0.7 [m]l=1 [m]d=1.2 [mm]p i = [Pa]R o =7.5 [cm] =110-3 [Pa s] =110 3 [kg/m 3 ]Q=500 [ml/day] =0.42G=4.14 [kpa] p o = [Pa]R i =2.5 [cm] t=0 23 p p i p=300 [Pa]pi=4350 [Pa] 4500 [Pa] (5) p 15 p i p t 3-7
22 19 R i p t 3-8 v t p 3-9
23 20 p i R i v p h=0 [m]l=1 [m]d=1.2 [mm] p o = [Pa]R o =7.5 [cm] =110-3 [Pa s] =110 3 [kg/m 3 ]Q=500 [ml/day]=0.42g=4.14 [kpa] p i = [Pa] R i =2.5 [cm] t=010 p p i p t 3-10
24 21 R i t 3-11 v t 3-12
25 22 p p
26 Rigolac 4[mm] AD Converter DA Converter Stepping motor Computer Valve Pressure Sensor 4-1
27
28 25 Rigolac 4-3 Tube for Pressure Sensor Tube for Discharge E=10[kPa]=4.9 E=1.25[kPa]=4.9
29
30 Brass Pipe Needle Valve Silicon Tube Gear Needle Stepping motor 4-6 KH42Hm deg./step 3.96 V 0.82 A/PHASE 4.8 /PHASE 2.4 mh/phase 1.3 kgf[cm] 120 gf[cm] 42 g[cm] g E 500VDC 100
31 h=70[cm] d=1.0[mm] l=1.02m P P 4-7 P
32 29 Honeywell 40PC001B 4-8 Port Port Port PIN1 V Port PIN Port PIN1 Port PIN PIN 4-8 Pressure Range Null (VDC) S[Pa]n (VDC) Sensitivity 50[mm]Hg Typ. 40.0mV/[mm]Hg Linearity (%S[Pa]n) max. Null Shift (%S[Pa]n) max. S[Pa]n Shift (%S[Pa]n) max
33 30 Port 4-9 Port Port Linearity 0.8% V P 4-9
34 P=0[Pa] l=1.02m d=1.0[mm] R o =7.5[cm] P o =0[Pa]=10-3 [Pa s] =1000[kg/m 3 P i =0[Pa] R i =3.14[cm] h 450[mmAq] 50[cm] P i t h=20[cm]
35 32 P i t h=30[cm] P i t h=40[cm]
36 33 P i t h=50[cm] P i t h=60[cm]
37 34 t P i h=70[cm] 300[mmAq] [cm] 80 50sec
38 35 P i t 5-7 ( ) P i t 5-8 ( 10)
39 36 P i t 5-9 ( 0) P i t 5-10 ( 0)
40 P i t 5-11 ( )
41 38 P i t 5-12 ( 0) P i t 5-13 ( 0)
42 39 P i t 5-14 ( 0)
43 p p p=300[pa] 10 p=1000[pa] 30 p=2000[pa] 70 p
44 41 (1) A(1992)114 (2) shunt system Progra[mm]able shunt valve 9 56 (3)( (4) A(1989)957 (5) 9 118
45 42
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1 1-1 (1) 150ml 500ml/ 1-1 () 1-1 1-0.0.5mm 114mm 1- ( ) () 4 AES 1000rpm 10 AES -1 - (0.04100 g cm) 5-1AES - 6 L B M t 98000 t = M pl ( ) B g& m t m = g& 7.0 - L= B =. -7.0 7 0mm -4-4 8 500ml 1ml/h 00ml/h
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63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5
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2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6
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7 -a 7 -a February 4, 2007 1. 2. 3. 4. 1. 2. 3. 1 Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e z
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