user's manual for corhyd: an internal diffuser hydraulics model - IfH

More documents

Recommendations

Info

Expansion (Reference velocity is V 1 ) Sudden expansion (Idelchik, 1986) ζ e ⎛ A = ⎜1 − ⎝ A 1 2 ⎞ ⎟ ⎠ 2 Code (see files: CommonFeederPipe.m, feederpipes.m, DiffuserLosses.m, Losses_common_feeder.m). Gradual expansion (Idelchik 1986) β ζ e = 3.2 ⋅ tan ⋅ 2 with β in rad 4 A1 tan β ⎞ 1 2 ⎜ ⎛ − A ⎟ ⎝ 2 ⎠ 2 For β > 50°, the formulation for gradual expansion leads to a greater loss coefficient than the one for a sudden expansion. Therefore Idelchiks formulas was adopted so that for β > 50° losses are equal the loss for β = 50°. Code (see files: CommonFeederPipe.m, feederpipes.m, DiffuserLosses.m, Losses_common_feeder.m). Contraction (Reference velocity is V 2 ) Sudden contraction (Idelchik, 1986) ⎛ A ⎞ ζ 2 c = 0.5 ⋅ ⎜1 − A ⎟ ⎝ 1 ⎠ 3 / 4 Code (see files: CommonFeederPipe.m, feederpipes.m, DiffuserLosses.m, Losses_common_feeder.m). Institut für Hydromechanik, Universität Karlsruhe 15
Gradual contraction (Idelchik 1986) 4 3 2 ( − .0125⋅ n + 0.0224⋅ n − 0.00723⋅ n + 0.0044⋅ n − 0.00745) 3 2 ζ c = 0 0 0 0 0 ⋅ ( β − 2πβ −10β) with A0 and β in rad n = 1.0 A 0 ≤ 1 For β > 50°, the formulation for gradual expansion leads to a greater loss coefficient than the one for a sudden expansion. Therefore Idelchiks formulas was adopted so that for β > 50° losses are equal the loss for β = 50°. Code (see files: CommonFeederPipe.m, feederpipes.m, DiffuserLosses.m, Losses_common_feeder.m). Bending (reference velocity = velocity after bending Bend (Kalide 1980) 3.5 ⎡ ⎛ D ⎞ ⎤ δ ζ0 = ⎢0.131+ 0.159⎜ ⎟ ⎥ ⋅ ⎢⎣ ⎝ R ⎠ ⎥⎦ 180° where D is the pipe diameter and R the radius of the bend. Often applied as R = 3D. Delta is the angle of the bend (e.g. 90° for rectangular bends). Code (see files: CommonFeederPipe.m, feederpipes.m, DiffuserLosses.m, Losses_common_feeder.m) Division flow of Friction due to bend (Idelchik 1986) L ζ fr = λ with L δ R = π D D 180° D (Idelchik 1986) ∆p ζ s c, s ζ s = = 2 ρV / 2 ( / ) 2 s Vs Vc ∆p ζ st c,st ζ st = = 2 ρV ( ) 2 st / 2 Vst / Vc ζ c,s from Diagram 7.15, ζ c, st from Diagram 7.17 (Idelchik, 1986 or Annex chapter 10). Curves fitted by the following code: Determination of zeta' (in the following zeta double underline) c,s vRatio = (q(i)/Ar(i)) / ((sum_q(i-1)+q(i))/Ad(i)); if Dr(i)/Dd(i)
Page 1 and 2: Universität Karlsruhe Institut fü
Page 3 and 4: Acknowledgments The authors like to
Page 5 and 6: 10.1 Local loss formulations: Divis
Page 7 and 8: 1 Introduction CorHyd is a computer
Page 9 and 10: Fig. 1: Outfall configuration showi
Page 11 and 12: where j 0 denotes the buoyancy flux
Page 13 and 14: 2.4 Manifold processes Pipe hydraul
Page 15 and 16: Fig. 8: Local port/riser branch los
Page 17: Table 2: Local loss formulations Ty
Page 21 and 22: Where H denotes the headloss, V duc
Page 23 and 24: Table 3: Equivalent sand roughness
Page 25 and 26: Institut für Hydromechanik, Univer
Page 27 and 28: For a constant sea water level and
Page 29 and 30: (16) solved for r in (15) and assum
Page 31 and 32: 3.1.4 Automatic implementation of l
Page 33 and 34: elevation difference between diffus
Page 35 and 36: The iteration stops if the differen
Page 37 and 38: Table 4: CorHyd subroutines and the
Page 39 and 40: 4 Data Input Input can either be do
Page 41 and 42: (ρ 0,max > ρ 0 ). Further sensiti
Page 43 and 44: should allow for riser velocities,
Page 45 and 46: Fig. 19: First input sub-window for
Page 47 and 48: 10 7050.000 0.000 -2.500 11 7000.00
Page 49 and 50: Fig. 22: Graphical output: Energy a
Page 51 and 52: given dilution requirements and maj
Page 53 and 54: 6.3 Off design conditions It was co
Page 55 and 56: Table 5: Sensitivity of involved pa
Page 57 and 58: Fig. 24: Side view and cross sectio
Page 59 and 60: Fig. 27: Flow characteristics for d
Page 61 and 62: under different flow conditions. Th
Page 63 and 64: Fig. 32: Side view and cross sectio
Page 65 and 66: Fig. 34: Flow characteristics for:
Page 67 and 68: Fig. 36: Flow characteristics for:
Page 69 and 70:
Fig. 38: Flow characteristics for:
Page 71 and 72:
Table 6: Comparison of construction
Page 73 and 74:
seaward end, which can be prevented
Page 75 and 76:
Especially for this long diffuser a
Page 77 and 78:
Jirka, G.H., Doneker, R.L. and Hint
Page 79 and 80:
10 Annex 10.1 Local loss formulatio
Page 81 and 82:
Institut für Hydromechanik, Univer
Page 83 and 84:
Institut für Hydromechanik, Univer
show all

user's manual for corhyd: an internal diffuser hydraulics model - IfH

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?