研究の背景 種々の物質の速度と抵抗の関係

◊✲䛾⫼ᬒ
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•
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㧗ྵỈẚ䛾ᆅ┙ᮦᩱ䛾ຊᏛ≉ᛶ
䛾ゎ᫂
໭ᾏ㐨኱Ꮫ
⏣୰ὒ⾜
ᓊቨ䛾኱Ỉ῝໬䠈⯟㊰䛾⥔ᣢ䞉⟶⌮
኱㔞䛾ὼ ᅵ◁䛜Ⓨ⏕
㐺ษ䛺ฎ⌮䛾ᚲせᛶ䠄⎔ቃ䠈᭷ຠ฼⏝䠅
⢓ᛶᅵ䠇㧗ྵỈẚ
– ㏻ᖖ䛾ᅵ䛸䛿␗䛺䜛(ᅵ䛸Ỉ䛾୧᪉䛾ᛶ㉁䠅
– ⢓ᛶ䠄䜂䛪䜏㏿ᗘ䛻䜘䛳䛶᢬ᢠ䛜ኚ໬䠅
– 㠀ᖖ䛻኱䛝䛺䜂䛪䜏䠄ኚᙧ䠅
– 䝺䜸䝻䝆䞊
1
㧗ྵỈẚ䛾ᅵ◁䛾≉ᛶ
௚䛾ศ㔝䛷䜒㔜せ
2
✀䚻䛾≀㉁䛾㏿ᗘ䛸᢬ᢠ䛾㛵ಀ
ᅵ䜢ጞ䜑䛸䛧䛶ከ䛟䛾≀㉁䛿
䝡䞁䜺䝮ὶయ
Shearstrength
᢬ᢠ
HerschelͲBulkley
Bingham
Casson
Newtonian
ᾏᗏᆅ⁥䜚
䠄Storegga slide)
BritishGeologicalSurvey䜘䜚
Newtonὶయ
Ỉ䛜඾ᆺⓗ
Shearrate
ᅵ▼ὶ Ἶὶ
㏿ᗘ 䠄䛫䜣᩿㏿ᗘ䠅
3
4
ὶື≉ᛶ䛾ồ䜑᪉
ᅇ㌿⢓ᅵィ䠄Viscometer)
㏻ᖖ䛾ヨ㦂ᶵ
䠄ᆅ┙ᕤᏛ䛷⏝䛔䜙䜜䛶䛔䜛䠅
ᅇ㌿㏿ᗘ䜢ᚎ䚻䛻ቑຍ
ヨᩱ䛜ᰂ䜙䛛䛔䛾䛷䠈୍㍈䛺䛹䛾ヨ㦂䛿↓⌮
ෆᚄ
እᚄ
䝧䞊䞁ヨ㦂䛜୍⯡ⓗ
୍ᐃ䛾ᅇ㌿㏿ᗘ
6㼻/min
᩿㠃ᅗ
⊃䛔䠖䜂䛪䜏䜢ᆒ୍䛻䛩䜛䛯䜑
cup
soil
኱䛝䛺ᐜჾ
䜂䛪䜏䛾ᴫᛕ䛿䛺䛔
Z
ᖹ㠃ᅗ
cylinder
ヨᩱ
㣗ရ䠈໬⢝ရ䠈䜸䜲䝹䛺䛹䛾ከ䛟䛾⏘ᴗ䛷ከ⏝䛥䜜䛶䛔䜛
6
5
ᅵᮌ䛻䛚䛡䜛ᅵ䛾䝺䜸䝻䝆䞊≉ᛶ䛾
◊✲
ᅇ㌿⢓ᗘィ䛾䝯䜹䝙䝈䝮
cup
soil
㝆అ್
Z
ᅵ㉁ຊᏛ
㭯㇂䠈௚䠄1986䠈1989䠅
Ἑᕝ䠈ᾏᓊᕤᏛ
ᆅ┙ᕤᏛ
ረᛶ㝈⏺
cylinder
ὶయຊᏛ
ᾮᛶ㝈⏺
Cup(ᐜჾ䠅
Ỉ䛾ὶ䜜䛻䜘䜛ᅵ◁䛾ᕳ䛝䛒䛢
h
x
ྵỈẚ
ᅇ㌿᪉ྥ
7
ᅇ㌿య
8
ᙉᗘ䛾ᕪ䛜⏕䛨䛯ཎᅉ
㝆అ್䠄⢓ᅵィ䠅䛸䝧䞊䞁ᙉᗘ䛾ẚ㍑
• ᅇ㌿య䛾㐪䛔䠛
120
M
– 䝧䞊䞁䠈෇ᰕ
Ỉᓥ ⢓ᅵ
⢓ᅵィ
㝆అ್ Wy(Pa)
100
ᚨᒣ ⢓ᅵ
䜂䜃䛝⢓ᅵ
80
㛛ྖ ⢓ᅵ
• ᣊ᮰᮲௳䛾㐪䛔䠛
0.2
60
– ⢓ᅵィ ᐜჾ䠄㝽㛫䛜ᑠ䛥䛔䠅
– 䝧䞊䞁 䛺䛧
40
20
0.1
• ᅇ㌿㏿ᗘ䛾㐪䛔䠛
0
0
100
200
300
400
࣮࣋ࣥࡏࢇ᩿ᙉᗘ WvanePa
– 䝧䞊䞁 6㼻/min
ᕸ㇂䠈ᅵ⏣䠈௚ (2012)
ᅇ㌿⢓ᗘィᚓ䜙䜜䛯㝆అ್䛿䝧䞊䞁ᙉᗘ䛾0.1䛛䜙0.2
9
10
෇ᰕ䛸䝧䞊䞁䛾㐪䛔
6㼻/min䛷ヨ㦂
ᅇ㌿య䠄෇ᰕ䠅䛾ᮦ㉁䛾ᙳ㡪
200
150
300
ShearStress(Pa)
ShearStress(Pa)
400
Stainless
Aluminum
Acryl
100
KasaokaClay
w=73.6%
w/wL=1.2
6deg/min
200
KasaokaClay
w=73.6%
w/wL=1.2
6deg/min
50
100
VaneBlade
0
0
20
40
60
RotateAngle(deg)
80
100
Stainless
0
0
ᮦ㉁䛾㐪䛔䛻䜘䜛ᙳ㡪䛿䛺䛧䚹
30
60
RotateAngle(deg)
90
ᑡ䛺䛟䛸䜒䠈㐜䛔ᅇ㌿㏿ᗘ䛷䛿䝧䞊䞁䛾᪉䛜ᙉᗘ䛜኱䛝䛟䛺䜛
11
12
䛩䜉䜚㠃䛾ᵝᏊ
ቃ⏺᮲௳䛾ᙳ㡪
250
0.60
200
ShearStress(Pa)
Shearratio Wc/Wvane
䝧䞊䞁
KasaokaClay
6deg/min
0.50
150
ᣊ᮰᭷䜚(h=4mm)
ᣊ᮰↓䛧(h=ь)
100
KasaokaClay
6deg/min
Vane Blade
w/wL=1.4
50
0.40
0
0
Stainless
30
60
RotateAngle(deg)
0.30
0.8
1
1.2
1.4
90
䝧䞊䞁
1.6
120
NormalizedWaterContentw/wL
ShearStress(Pa)
ᣊ᮰䛒䜚(h=4mm)
ྵỈẚ䛾ᙳ㡪
෇ᰕ
ᣊ᮰䛾ᙳ㡪䛿䜋䛸䜣䛹䛺䛔
෇ᰕ䛾ሙྜ䠈⁥䛳䛶䛔䜛
䛣䛾䠎䛴䜢⪃䛘䜛䛸
෇ᰕ䛾ሙྜ䛷䛿⁥䛳䛶䛔䜛
ᣊ᮰䛺䛧(h=ь)
90
60
KasaokaClay
6deg/min
Stainless
w/wL=1.4
30
0
0
30
60
RotateAngle(deg)
90
෇ᰕ
ᅇ㌿⢓ᗘィ䛷䜂䛪䜏䛜ᆒ୍䛸䛔䛖๓ᥦ䛿䠛
13
14
ᅇ㌿㏿ᗘ䛾ᙳ㡪
ᅇ㌿㏿ᗘ䛜㏿䛟䛺䛳䛯ሙྜ
ᅇ㌿⢓ᗘィ䛷୍ᐃ㏿ᗘ
Cylinder
90
VaneBlade
Cylinder
60
30
60
40
20
VaneBlade
Cylinder
0
500
1000
1500
2000
RotateAngle(deg)
VaneBlade(ᣊ᮰䛺䛧)
VaneBlade
30
Cylinder(ᣊ᮰䛺䛧)
100
0
100
150
RotationSpeed(RPM)
200
10000
250
ᣊ᮰᮲௳䛿↓ど䛷䛝䜛
෇ᰕ䛸䝧䞊䞁䛾ᙉᗘ䛜㏫㌿䛩䜛
60
40
VaneBlade
20
100
RotationSpeed=200(RPM)
80
40000
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
60
40
VaneBlade
20
Cylinder
Cylinder
0
0
0
15
20000
30000
RotateAngle(deg)
20rpm
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
RotationSpeed=2(RPM)
80
50
0
0.2rpm
VaneBlade(ᣊ᮰䛒䜚)
Cylinder(ᣊ᮰䛒䜚)
0
0
2500
ShearStress(Pa)
60
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
RotationSpeed=20(RPM)
0
ShearStress(Pa)
ShearStress(Pa)
KasaokaClay
w=84.3%
w/wL=1.36
90
80
ShearStress(Pa)
ShearStress(Pa)
RotationSpeed=0.2(RPM)
150
120
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
120
ᅇ㌿⢓ᗘィ䛷ヨ㦂
2000
4000
6000
RotateAngle(deg)
2rpm
8000
0
50000
100000
RotateAngle(deg)
200rpm
150000
16
⤖ㄽ䠍
ప㏿ᗘ䛷䛾ᅇ㌿⢓ᗘィၥ㢟Ⅼ
䝧䞊䞁䛾ᅇ㌿㏿ᗘ䛿6㼻/min
160
0.017rpm
⢓ᅵィ䛾ᵓ㐀
• 䝧䞊䞁ᙉᗘ䛿ᅇ㌿㏿ᗘ䛜㏿䛟䛺䜛䛸ᙉᗘ䛜኱
䛝䛟䛺䜛䛸ゝ䜟䜜䛶䛔䜛䛜䠈ᚲ䛪䛧䜒䛭䛖䛷䛺
䛔䠄≉䛻ᅇ㌿ᩘ䛜㏿䛟䛺䜛䛸䠅
• ᅇ㌿⢓ᅵィ䛿ᅇ㌿㏿ᗘ䛜ẚ㍑ⓗ᪩䛔≧ែ䛻
㐺䛧䛯䜘䛖䛻స䜙䜜䛶䛔䜛䛾䛷䠈㐜䛔ሙྜ䛻
䛿ಙ㢗ᛶ䛻ஈ䛧䛔䠄≉䛻㝆అ್䜢ồ䜑䜛䛸䛝
䛻ὀព䠅
䝇䝥䝸䞁䜾䛜㠀ᖖ䛻ᰂ䜙䛛䛔
ᙉᗘ䛜Ⓨ᥹䛩䜛䜎䛷䠈ᅇ㌿ゅᗘ䛜ᚲせ
– ィ ᶵᵓ䠄䝇䝥䝸䞁䜾䛜ᰂ䜙䛛䛔䠅
– ᙉᗘ䛜Ⓨ᥹䛩䜛䜎䛷䠈୍ᐃ䛾ᅇ㌿ゅᗘ䛜ᚲせ
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
VaneBlade
ShearStress(Pa)
120
80
40
RotationSpeed=0.05(RPM)
RotationSpeed=0.2(RPM)
0
0
30
60
90
RotateAngle(deg)
䝧䞊䞁
KasaokaClay
w=88.4%
w/wL=1.43
ᣊ᮰䛺䛧
120
Cylinder
ShearStress(Pa)
90
60
30
RotationSpeed=0.05(RPM)
RotationSpeed=0.2(RPM)
0
0
30
60
90
RotateAngle(deg)
෇ᰕ
17
⤖ㄽ䠎
• ᅇ㌿⢓ᗘィ䛛䜙䛫䜣᩿㏿ᗘ䜢ồ䜑䜛௬ᐃ
䠄⁥䜚䛜⏕䛨䛺䛔䠅䛿䠈෌᳨ウ䜢せ䛩䜛䚹
• ᚑ᮶䛾᪉ἲ䠄ᅇ㌿⢓ᗘィ䠅䛷ồ䜑䛯⢓ᛶ䛒䜛
䛔䛿㝆అ್䛾ᕤᏛⓗጇᙜᛶ䛿䠈⌧㇟䠄ᐇ⌧
㇟䠈ᶍᆺᐇ㦂䠅䛸ᩘ್ゎᯒ䜢⏝䛔䛶᳨ド䛩䜛
ᚲせ䛒䜚䚹
19
18