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# Cu06997 the basics_26052013

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### Transcript

• 1. Course CU06997 Fluid DynamicsThe 13 situations you are able tocalculate at the end of this course1
• 2. WaterStagnantnot flowingu = 0 m/sIn motionflowingu > 0 m/sHydrostatics Fluid dynamicsPipes Open channel[Gesloten leidingen] [Open water]1
• 3. Classification of flows.1. Steady uniform flow [Eenparig uniform]example: pipe with constant D and Qexample: channel with constant A and Q2. Steady non-uniform flowexample: pipe with different D and constant Qexample: channel with different A and constant Q3. Unsteady uniform flow[Niet eenparig , uni..]example: pipe with constant D and different Qexample: channel with constant A and different Q4. Unsteady non-uniform flowexample: pipe with different D and Qexample; channel with different A and Q1
• 4. Basics 𝑄 = 𝑢 ∙ 𝐴 PAR 212222211122 Hguzyguzyu1Reference /datum [m] [Referentie]Surface level [m] [Waterstand]Total head H [m] [Energiehoogte]P1z1y1u12/2g Velocity head [m] [Snelheidshoogte]y = Pressure head [m] [drukhoogte]z = Potential head [m] [plaatshoogte]1
• 5. Turbulent or laminar flow[Turbulente of laminaire stroming]𝑅𝑒 =𝑉. 4𝑅𝜈Subcritical or Supercritical flow[Stromend of Schietend water]𝑦𝑐 =𝑄2𝑔 ∙ 𝐵23𝑉𝑐 = 𝑔 ∙ 𝑦𝑐2𝐹𝑟 =𝑉𝑉𝑐1
• 6. DownstreamUpstreamCross-section CulvertHeadLossLength CulvertVelocity1. Discharge culvert [Debiet duiker]2. Dimensions culvert[Afmetingen duiker]2
• 7. DownstreamUpstreamCross-section CulvertHeadLossLength CulvertVelocityCulvert,submerged [Duiker,volledig gevuld]211i1oRLf4 [m]2gu)ξξξ(ΔΗ2culvertoficulvert 2
• 8. DownstreamUpstreamCross-sectionLength CulvertFlow velocity3. Discharge partly submerged Culvert[Debiet gedeeltelijk gevulde duiker]2
• 9. DownstreamUpstreamCross-sectionLength CulvertFlow velocityCulvert, partly filled[Duiker, gedeeltelijk gevuld]Is a broad crested weir[Is een lange overlaat]2
• 10. Free flow broad crested weir[Volkomen lange overlaat]23HBcq vv Total Head or Energy line HFree flow broad crested weirSuper critical flowHydraulic Jump2
• 11. Submerged broad crested weir flow[Onvolkomen lange overlaat])(2 33 hHghBcq olv Total Head or Energy line HSubmerged broad crested weirBottom eddy2
• 12. Bed SlopeDepthHeadLossCross-sectionProfile4. Discharge open channel5. Dimensions open channel6. Equilibrium depth open channel3
• 13. Bed SlopeDepthHeadLossCross-sectionProfileOpen channel, bed slope > 0[Open watergang, bodemverhang > 0]𝑉 =𝑅23 ∙ 𝑆 𝑏12𝑛𝑉 = 𝐶 ∙ 𝑅 ∙ 𝑆 𝑏𝑆 𝑏 = 𝑆𝑓𝑦𝑛 =𝑞2𝑏2 ∙ 𝐶2 ∙ 𝑆 𝑏33