႐ߩߚߩ᳓ℂቇ㧔㧟㧕 㧙ᵹ⍾ߣᴡᐥᄌേ㧙 ⨹ ା ⴕ ᷡ ᳓ ᐽ ⴕ ȡ gAl ib㧩 IJ 0 Sl 3㧚ᵹ⍾ߦ㑐ߔࠆၮᧄ⊛㗄 ᴡᐥࠍࠆ᳓ᷓߢ᳓߇ᵹࠇࠆߣ㧘ᴡᐥߩẢㄝߦߪන 㕙Ⓧᒰߚࠅ IJ 0 ߩߖࠎᢿജ߇᳓႙ߦኻߒߡᵹࠇߣㅒᣇ ะߦ߈㧘৻ᣇ㧘ᵹࠇߪẢㄝߦኻߒߡᵹࠇߣหᣇะߦ IJ 0 ߩജࠍ߷ߔߡߞ߇ߚߒޕ㧘ᴡᐥ߇㕖☼⌕ᕈߩ⍾␕ߢ᭴ ᚑߐࠇߡࠆ႐วߦߪ㧘ߎߩജߪ⍾␕☸ሶࠍਅᵹ߳ߒ ᵹߘ߁ߣߔࠆߩߢ㧘ߎߩ IJ 0 ࠍ ᵹജ㧔ᴡᐥߖࠎᢿജ㧕 ߣࠎߢࠆޕ ࿑㧙3.1 ߩࠃ߁ߦ㧘ᴡᐥ൨㈩ ie ߩᴡᎹߦ╬ᵹ⁁ᘒߢ᳓ ߇ᵹࠇࠆߣ߈㧘ᵹਅᣇะߦ㐳ߐ l ߩ㑆ࠍ⠨߃ࠆߣ㧘એਅ ߦ␜ߔᚻ㗅ߦࠃࠅᵹജ IJ 0 ߇ቯ⟵ߐࠇࠆޕ ߣߥࠅ㧘ᑼ߆ࠄᵹജ IJ 0 ߪ㧘ᓘᷓࠍ R 㧩 A/Sߣߒ ߡ㧘 IJȠ pg pgRib 3.1 ߢࠊߐࠇࠆޕ ߥ߅㧘 3.1ᑼߪਇ╬ᵹߦ߅ߡ߽㧘ᴡᐥ൨㈩ ib ߩઍࠊ ࠅߦࠛࡀ࡞ࠡ㧙൨㈩ ib ࠍ↪ࠆߣ㧘ㄭૃ⊛ߦᰴᑼߢࠊ ߔߎߣ߇ߢ߈ࠆޕ IJ 0 㧩 ȡ gRib 3.2 ߚߛߒ㧘 ie l 㑆ߩ᳓႙ߩኈⓍ Vl ߪ㧘ᵹⓍࠍ A ߣߒߡᰴᑼߢ␜ · d § aV 2 ¨¨ H ¸¸ 㧘H㧦ၮḰ᳓ᐔ㕙߆ࠄߩ dx © 2 g ¹ ᳓㧘V㧦ᐔဋᵹㅦ㧘 D : ࠛࡀ࡞ࠡ㧙ᱜଥ ߐࠇࠆޕ Vl㧩Al l 㑆ߩ᳓႙ߩ㊀㊂ W ߪ㧘᳓ߩኒᐲࠍ ȡ 㧘㊀ജടㅦᐲ A ib S ᢙ㧘x㧦ਅᵹᣇะߩᐳᮡゲ ᵹജ IJ 0 ࠍᵹㅦߩᰴరߢᰴᑼߩࠃ߁ߦቯ⟵ߒߚ߽ߩ ࠍ ᡂㅦᐲ ߣ㧘u*ߢࠊߔޕ ࠍ g ߣߒߡᰴᑼߢߐࠇࠆޕ W㧩 ȡ gVl㧩 ȡ gAl u* IJȠ / ȡ 㧩 gRie 3.3 ߒߚ߇ߞߡ㧘W ߩᢳ㕙ᣇะߩᚑಽߪᰴᑼߣߥࠆޕ ߒߚ߇ߞߡ㧘ᵹജ IJ 0 ߪ㧘 2 Wx㧩W Sin ibѳWib㧩 ȡ gAl ib IJ 0 㧩 ȡ u* 3.4 ৻ᣇ㧘l 㑆ߩẢㄝ S ߦടࠊࠆోߖࠎᢿജ T ߪ㧘ᰴᑼ ߩࠃ߁ߦࠊߐࠇࠆޕ ߣ߽ᦠߊߎߣ߇ߢ߈ࠆޕ ᵹ⍾⽎ࠍᡰ㈩ߒߡࠆⷐ⚛ߦߪ㧘ᵹ㧘ᴡᐥ᧚ᢱ㧘 T㧩 IJ 0 Sl ᵹࠇߩᕈ⾰߇ࠆ߇㧘ߘࠇࠄߦࠃࠅࠅߛߐࠇࠆήᰴర ߒߚ߇ߞߡ㧘╬ᵹ⁁ᘒߢߪᵹㅦߪ৻ቯߢࠆ߆ࠄ㧘Wx ㊂ߩ߁ߜ㧘߈ࠊߡ㊀ⷐߥ߽ߩߦᡂㅦᐲ u*ࠍήᰴర 㧩T㧘ߔߥࠊߜ㧘 ␜ߒߚᰴᑼߩ ήᰴరᵹജ㧔ήᰴరߖࠎᢿജ㧕 IJ* ߇ ࠆޕ A IJ Rie 3.5 sd § Wx ߚߛߒ㧘S㧦⍾☸ߩ᳓ਛᲧ㊀ ¨¨ S A © ie㧦ࠛࡀ࡞ࠡ㧙ߩ൨㈩ S ib W x ࿑㧙3.1 ᵹജߩቯ⟵࿑ ȡs ȡ · ¸ ȡ ¸¹ 㧘 ȡ s㧦⍾☸ߩኒᐲ㧘d㧦⍾ߩ☸ᓘ㧘 H T u2 sgd ၮḰ᳓ᐔ㕙 ࠆ☸ሶ߇ᴡᐥߦࠆߣ߈㧘ᴡᐥߦ߅ߌࠆᵹജ IJ 0 ࠆߪᡂㅦᐲ u* ߇ࠆ㒢⇇୯ࠍ߃ࠆߣ☸ሶߪ⒖ േࠍ㐿ᆎߔࠆߩߎޕ㒢⇇୯ࠍ߅ߩ߅ߩ 㒢⇇ᵹജ IJ C ࠆߪ 㒢⇇ᡂㅦᐲ u*c ߣ߁ߡߞ߇ߚߒޕ㧘☸ሶ ߇⒖േߔࠆ߆ุ߆ߦߟߡߪ㧘 IJ C ࠆߪ u*c ࠍ↪ߡ ࠆ߆ࠄ㧘 IJ㧖C 㧩80.9d/ sgd㧩0.050 ߣߥࠆޕ ᰴߩਇ╬ᑼߢߔߎߣ߇ߢ߈ࠆޕ 㕒ᱛ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯u*㧨u*c ࠆߪ IJ 0 㧨 IJ C ৻⥸ߩᴡᎹߢߪ㧘d҈0.303 ߩ႐ว߇ᄙߊ㧘 2ߢ␜ߒ ⒖േ㨯㨯㨯㨯㨯㨯㨯㨯㨯㨯u*㧪u*c ࠆߪ IJ 0 㧪 IJ C ߚࠃ߁ߦ IJ㧖C 㧩0.050 ৻ቯ୯ߣߒߡ⸘▚ߐࠇߡࠆޕ 㒢⇇ᡂㅦᐲ u*c ࠍᡂㅦᐲߣห᭽ߦήᰴర␜ߒ ߚ ήᰴర㒢⇇ᵹജ IJ㧖C ߣ߁ޕ IJ c 㧔Ṷ⠌㗴 6㧕 u2c 3.6 sgd 㒢⇇ᡂㅦᐲ u*c ࠍ▚ߔࠆᣇᴺߪ㧘ฎߊ߆ࠄᄙߊߩ ᴡ B㧩200m㧘ᴡᐥ൨㈩ ib㧩1/1000 ߩᐢ⍱ᒻᢿ㕙᳓ 〝ࠍᵹ㊂ Q㧩500m3/s ߇╬ᵹ⁁ᘒߢᵹਅߒߡࠆ႐ว ߦߟߡએਅߩ⸳ߦ╵߃ࠃߒߛߚޕ㧘Manning ߩ☻ᐲ ⎇ⓥ⠪ߦࠃࠅታ㛎⊛㧘ℂ⺰⊛ߦ⎇ⓥ߇ㅴࠄࠇߡ߈ߚ߇㧘 ଥᢙ n㧩0.02 ߣߔࠆ㨫 ৻᭽☸ᓘ⍾␕ߩ㒢⇇ᵹജߩ▚ቯᑼߣߒߡߪ㧘ጤ၂ 1 ╬ᵹ᳓ᷓ h0 ࠍ᳞ࠃޕ ߩᑼ㧝㧕߇ᦨ߽ࠃߣߐࠇߡࠆޕ 2 ᵹജ IJ 0 ᳞ࠃޕ ጤ၂ߩᑼࠍᮡḰ⊛ߥ୯㧘ߔߥࠊߜ㧘⍾☸ߩ᳓ਛᲧ㊀ sѳ 2 1.65㧘േ☼ᕈଥᢙ vѳ0.01cm /s 20.3͠㧘㊀ജടㅦᐲ 3 ᡂㅦᐲ u*ࠍ᳞ࠃޕ 4 ᴡᐥ⍾ߩ☸ᓘ d㧩1cm ߣߒߚߣ߈ߩήᰴరᵹ IJ* 㧘 g㧩980cm/s2 ࠍ↪ߒߡᦠ߈ࠊߔߣ㧘ᰴᑼߣߥࠆ㧔cm 㒢⇇ᡂㅦᐲ u*c㧘ήᰴర㒢⇇ᵹജ IJ㧖C ࠍ᳞ࠃߚޕ 㧙sec න㧕ޕ ߛߒ㧘☸ሶߩ᳓ਛᲧ㊀ s㧩1.65 ߣߔࠆޕ d҈0.303 cm㧧 u㧖2 C 㧩80.9d 0.118҇d҇0.303 cm㧧 㧩134.6d31/32 0.0565҇d҇0.118 cm㧧 㧩55.0d 3.7 11/32 0.0065҇d҇0.0565cm㧧 㧩8.41d d҇0.0065cm㧧 㧩226d 5 ⸥ߩ᳓ℂ᧦ઙߢ㧘☸ᓘ d㧩1cm ߩᴡᐥ⍾߇⒖േߔ ࠆ߆ߤ߁߆್ቯߖࠃޕ 6 ⸥ߩ᳓ℂ᧦ઙߢ㧘ᴡᐥ⍾߇⒖േߒߥࠃ߁ߦߔࠆ ߚߦߪ㧘☸♽ d ࠍߥࠎ cm એߣߔࠆߣࠃ߆ޕ 7 ☸ᓘ d㧩1cm ߩᴡᐥ⍾߇⒖േߒߥߚߦߪ㧘ᵹ㊂ Q ߪߥࠎ m3/s એਅߣߔࠆߣࠃ߆ޕ 㧔Ṷ⠌㗴 5㧕 1 ጤ၂ߩᑼ 3.7ᑼߦࠃࠅ㧘☸ᓘ d㧩5mm㧘1mm㧘0.1 mm ߩߣ߈ߩ㒢⇇ᡂㅦᐲ u *c ߅ࠃ߮ήᰴర㒢⇇ ާṶ⠌㗴 6 ߩ⸃╵ި 1㧚⠨ ߃ ᣇ ᵹജ IJ㧖C ࠍ᳞ࠃޕ 1 ╬ᵹ᳓ᷓ h0 ߪ೨ߩ 2.20ᑼߢ᳞ࠆޕ 2 ☸ᓘ d㧪0.303cm ߩ႐วߩ IJ㧖C ࠍ᳞ࠃޕ 2 ᵹജ IJ 0 ߪ㧘㗴ᗧࠃࠅᐢ⍱ᒻᢿ㕙᳓〝ߢࠆߩߢ ᓘᷓ Rѳh0㧘߹ߚᵹࠇߪ╬ᵹ⁁ᘒߢࠆߩߢࠛࡀ࡞ࠡ㧙 ާṶ⠌㗴 5 ߩ⸃╵ި ൨㈩ ie㧩ib ߣߒߡ 3.2ᑼߢ᳞ࠆޕ 1㧚⠨ ߃ ᣇ 3 ᡂㅦᐲ u*ߪ 3.3ᑼߢ᳞ࠆ㨫 ጤ၂ߩᑼ 3.7ᑼߦࠃࠅᴡᐥ⍾ߩ☸ᓘ d cm߇ߤߩ▸ 4 ήᰴరᵹജ IJ* ߪ 3ߢ᳞ߚ u*ࠍ↪ߡ㧘⍾ߩ᳓ ࿐ߦࠆ߆ࠍ್ቯߒߡ u㧖2 C ࠍ᳞㧘 3.6ᑼߦࠃࠅ IJ㧖C ࠍ ਛᲧ㊀ s㧩1.65㧘㊀ജടㅦᐲ g㧩980cm/s2 ߣߒߡ 3.5 ⸘▚ߔࠆ㨫ߎߎߢ㧘⍾ߩ᳓ਛᲧ㊀ s㧩1.65㧘㊀ജടㅦᐲ g ᑼߢ᳞ࠆ㨫 u*c ߪጤ၂ߩᑼ 3.7ᑼߦࠃࠅ᳞㧘ߘߩ 㧩980cm/s2 ߣߔࠆޕ u*c ࠍ↪ߡ 3.6ᑼࠃࠅ IJ㧖C ࠍ⸘▚ߔࠆޕ 5 3ߢ᳞ߚ u*c ߣ 4ߢ᳞ߚ u*c ߩᄢዊ㑐ଥࠍᲧ 2㧚ታ㓙ߩ⸘▚ d㧩5mm㧩0.5cm ߩߣ߈㧘 3.7ᑼࠃࠅ d҈0.303 ߢ セߔࠆߎߣߦࠃࠅ㧘ᴡᐥ⍾ߩ⒖േ߇್ቯߢ߈ࠆࠊߥߔޕ ࠆ߆ࠄ㧘 u㧖2 C 㧩80.9d 㧩40.45cm2/s2 ߦ߃ ࠁ ޕ㧘 u *c 㧩 ߜ㧘 u*㧪u*c ߩߣ߈ߪᴡᐥ⍾ߪ⒖േߒ㧘u*㧨u*c ߩߣ߈ 6.36cm/s 㨫 ߒ ߚ ߇ ߞ ߡ 3.6 ᑼ ࠃ ࠅ IJ㧖C 㧩 u ߪᴡᐥ⍾ߪ⒖േߒ㧘u*㧨u*c ߩߣ߈ߪ㕒ᱛ⁁ᘒߢࠆޕ 1 2 㧖C /sgd 㧩 40.45/ 1.659800.5㧩0.050 ߣߥࠆ㨫 6 ࠆ᳓ℂ᧦ઙߩ߽ߣߢ㧘 ᴡᐥ⍾߇⒖േߒߥߚߦ ห᭽ߦ㧘d㧩1mm㧩0.1cm ߣ߈㧘 3.7ᑼࠃࠅ 0.0565҇d ߪ㧘u*㧨u*c ࠍḩ⿷ߔࠇ߫ࠃ߆ࠄ㧘 3ߢ᳞ߚ u*ߣጤ ҇0.118cm ߢࠆ߆ࠄ㧘u㧖2 C 㧩55.0d㧩5.50 cm2/s2ߦ߃ࠁޕ㧘 ၂ߩᑼ 3.7ᑼࠃࠅᑼࠍḩߚߔ☸ᓘ d ࠍ߽ߣࠇ߫ࠃ u *c 㧩2.35cm/s㨫ߒߚ߇ߞߡ 3.6ᑼࠃࠅ IJ㧖C 㧩5.50/ 1.65 ޕ 9800.1㧩0.034 ߣߥࠆޕ 7 ᴡᐥ⍾ߩ☸ᓘ d ߇ਈ߃ࠄࠇߡࠆߣ߈㧘ᴡᐥ⍾߇⒖ ห᭽ߦ㧘d㧩0.1mm㧩0.01cm ߩߣ߈㧘u *c 㧩1.32cm/s㧘IJ㧖C േߒߥߚߦߪ㧘u*㧨u*c ࠍḩߚߔࠃ߁ߥᵹ㊂ Q ࠍ᳞ 㧩0.107 ߣߥࠆޕ ࠇ߫ࠃߜࠊߥߔޕ㧘u*c ߪጤ၂ߩᑼ 3.7ᑼߢ᳞㧘 2 d ҈0.303 ߩߣ߈㧘 3.7ᑼࠃࠅ u㧖2 C 㧩80.9 d ߢ 㗴ᗧࠃࠅ Rѳh0㧘ie㧩ib ߣߒߡ u*ࠍ Q ߢᦠ߈឵߃㧘u*㧨
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