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Curva de Remanso Direct Step Method

Curva de Remanso Direct Step Method. Movimento Gradualmente Variado (MGV). 1. Entenda o que é MGV. 2. Identifique os perfis e tipo de controles – M1, M2, M3, S1, S2, S3, .. 3. Aprenda a desenhar a superficie do remanso. Tipo de superfície da água. Mild Slope – M1, M2, M3

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Curva de Remanso Direct Step Method

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  1. Curva de Remanso • Direct Step Method

  2. Movimento Gradualmente Variado (MGV) 1. Entenda o que é MGV. 2. Identifique os perfis e tipo de controles – M1, M2, M3, S1, S2, S3, .. 3. Aprenda a desenhar a superficie do remanso.

  3. Tipo de superfície da água Mild Slope – M1, M2, M3 Steep Slope – S1, S2, S3

  4. Quando yn> yc então a declividade é mild • Quando yn < yc então a declividade é steep • Quando yn=yc então a declividade é crítica • Quando So=0 (sem declividade) então yn = ∞ • Quando So <0 (declividade adversa) então yn é negativo ou não existe.

  5. Classification of Flow Profiles • This result is important. It permits classification of liquid surface profiles as a function of Fr, S0, Sf, and initial conditions. • Bed slope S0 is classified as • Steep : yo < ycor so>sc • Critical : yo = ycor so= sc • Mild : yo > ycorso< sc • Horizontal : S0 = 0 • Adverse : S0 < 0 • Initial depth is given a zone • Zone 1 : y > yn • The space above both critical and normal depth • Zone 2 : yc< y < yn • The region lies between the normal and critical depth • Zone 3 : y < yc • The lowest zone of space that lies above the channel bed but below both critical and normal depth lines

  6. Classificação das curvas conforme Ven Te Chow

  7. Determinação de yc Exemplo: Vazão de 98,1m3/s com largura de 10 m em um canal retangular. Profundide normal é 5m, qual é o tip de declividade- mild, steep, critical ??

  8. Perfil Típico Profundidade Normal Mild Steep Profundidade crítica Profundidade normal

  9. Perfil Típico Profundidade normal M1 S1 M2 M3 S2 Mild S3 Steep Profundidade crítica Profundidade normal A superficie da água tem diferenças devido as condições de obstruções a montante ou a jusante

  10. Passos na análise do perfil da superficie da água 1. Desenho a declividade (slope) 2. Determine slope type – yn, yc, So 3. Desenhe Critical Depth 4. Desenhe Normal Depth 5. Connect Normal Depth to control point. Based on profile type

  11. Mild Slope Casos

  12. Exemplo simples – Remanso – y acima da profundidade normal – mild slope Normal Depth River Level Sea Level Channel/River Reservoir/Sea

  13. Exemplo simples – Remanso – y acima da profundidade normal – mild slope Profile ? Normal Depth River Level Sea Level Channel/River Reservoir/Sea

  14. Exemplo simples– Remanso – y acima da profundidade normal – mild slope Normal Depth River Level Channel/River

  15. Exemplo simples– Remanso – y acima da profundidade normal – mild slope Normal Depth River Level Channel/River

  16. Exemplo simples– Remanso – y acima da profundidade normal – mild slope Normal Depth River Level Channel/River

  17. Exemplo simples– Remanso – y acima da profundidade normal – mild slope Normal Depth River Level Channel/River

  18. Mild Slope Casos

  19. Simple Example – Drawdown – y above normal depth – mild slope Perfil ? Normal Depth River Level Sea Level Channel/River Reservoir/Sea

  20. Simple Example – Drawdown – y above normal depth – mild slope Perfil ? Normal Depth River Level Sea Level Channel/River Reservoir/Sea

  21. Simple Example – Drawdown – y above normal depth – mild slope Perfil ? Normal Depth River Level Sea Level Channel/River Reservoir/Sea

  22. Simple Example – Drawdown – y above normal depth – mild slope Normal Depth River Level Channel/River

  23. Simple Example – Drawdown – y above normal depth – mild slope Profile ? Control Points Normal Depth River Level Channel/River

  24. Simple Example – Drawdown – y above normal depth – mild slope Profile ? Control Points at yc Normal Depth River Level Channel/River

  25. Mild Slope Casos

  26. Normal Depth River Level Channel/River

  27. Normal Depth River Level Channel/River

  28. Normal Depth River Level

  29. Steep Slope

  30. Simple Example – Backwater – y above normal depth – mild slope Sea Level Normal Depth River Level Channel/River Reservoir/Sea

  31. Sea Level Normal Depth River Level Channel/River Reservoir/Sea

  32. Normal Depth River Level Channel/River

  33. Normal Depth River Level Channel/River

  34. Steep Slope

  35. Normal Depth River Level Channel/River

  36. Normal Depth River Level Channel/River

  37. Steep Slope

  38. Normal Depth River Level Channel/River

  39. Normal Depth River Level Channel/River

  40. Quebra do grade Combinação de declividades diferentes

  41. Profile Type Normal Depth Mild Steep Critical Depth Normal Depth

  42. Profile Type Normal Depth Mild Steep Critical Depth Normal Depth

  43. Profile Type Normal Depth Milder Mild Critical Depth Normal Depth

  44. Profile Type Normal Depth Milder Mild Critical Depth Normal Depth

  45. Profile Type Normal Depth Mild Milder Critical Depth Normal Depth

  46. Profile Type Normal Depth Mild Milder Critical Depth Normal Depth

  47. Profile Type Normal Depth Steep Steeper Critical Depth Normal Depth

  48. Profile Type Normal Depth Steep Steeper Critical Depth Normal Depth

  49. DIRECT STEP METHOD Baseado na Equação da Energia

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