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Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
Cu06997 the basics_26052013
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Cu06997 the basics_26052013

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  • 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
  • 14. DepthDepthHeadLossHydraulic gradientHorizontal bedCross-sectionProfile7. Hydraulic Gradient open channel[Energieverhang open watergang]3
  • 15. DepthDepthHeadLossHydraulic gradientHorizontal bedCross-sectionProfileOpen channel, bed slope <= 0[Open watergang, bodemverhang <=0]𝑉 =𝑅23 ∙ 𝑆𝑓12𝑛𝑉 = 𝐶 ∙ 𝑅 ∙ 𝑆𝑓3
  • 16. SpecificHeadWidthWeirHydraulic GradientCross-sectionProfile8. Upstream water level Weir9. Dimensions Weir [Afmetingen stuw]3
  • 17. SpecificHeadWidthWeirHydraulic GradientCross-sectionProfileShort crested weir [Korte overlaat, meetstuw]𝑄 = 𝑚 ∙ 𝐵 ∙ 𝐻323
  • 18. Hydraulic GradientHeadLossWater levelCross-sectionProfileSubmerged Pipe10. Flow rate Pipe [Debiet buis]11. Dimensions Pipe [Afmetingen buis]4
  • 19. Hydraulic GradientHeadLossWater levelCross-sectionProfileSubmerged PipeFlow rate Pipe [Debiet buis]𝑉 = 𝐶 ∙ 𝑅 ∙ 𝑆𝑓 𝐶 = 18 ∙ 𝑙𝑜𝑔12𝑅𝑘𝑆𝑓 =ΔH𝐿4
  • 20. WaterdepthWaterpressureWallWater levelProfile12. Force by water [Kracht door water]4
  • 21. WaterdepthWaterpressureWallWater levelProfileForce by water [Kracht door water]𝑝 = 𝜌 ∙ 𝑔 ∙ 𝑦 [𝑃𝑎] F = p ∙ A [N]4
  • 22. CulvertEmptyGround water levelCross-section13. Buoyancy [Opdrijving]4
  • 23. CulvertEmptyGround water levelCross-sectionBuoyancy, [Opdrijving]Upward force = weight of fluid displaced by the body4

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