CEIE 340 Lecture 12 Reserviour Routing

# CEIE 340 Lecture 12 Reserviour Routing - Relationship s A...

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1 Water Resource Engineering CEIE 340 Sayedul H. Choudhury, Ph.D. Reservoir Routing Today’s Topics s Introduction s The Routing Equation s Derivation of Stage-Storage-Discharge Relationship s The Stage-Storage Relationship s The Stage-Discharge Relationship s Storage-Indication Routing s Modified Puls Routing Mehtod s Design Procedure

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2 Channel Routing/Hydrograph Routing I(t) t Upstream Hydrograph O(t) t Downstream Hydrograph Inflow Function I(t) Outflow Function O(t) Transfer Function f(x) O(t) = f[x, I(t)] Distance, x St. Venant Equations s Continuity Equation (based on conservation of mass) s Conservation of momentum 0 ) ( 1 = - + + + o f S S x h x V g V t V g O I dt dS - = Important for Unsteady, Nonuniform flow Steady, Uniform
3 Routing Equation I(t), O(t) t t I 2 1 O O I dt dS - = I = Inflow O = Outflow S = Storage Distance, x I O S ) ( 2 1 ) ( 2 1 2 1 2 1 1 2 1 2 O O I I t S t t S S + - + = = - - From conservation of mass (Continuity Equation) The Routing Equation dt dS O I = - S t O t I = - t O S t O S t I I + = - + + 2 2 1 1 2 1 2 1 ) 2 1 ( ) ( 2 1 1 2 2 1 2 1 ) ( 2 1 ) ( 2 1 S S t O O t I I - = + - + …………. . (11.1) …………. . (11.2) …………. . (11.3) …………. . (11.4)

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4 Stage-Storage-Discharge
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Unformatted text preview: Relationship s A function of s Topography at the site of the storage structure s Characteristics of outlet facility s Weir equation The total flow (Q) over a weir Q = C w L Z 1.5 Where, C = the weir coefficient (range from 2.8 to 3.33, typically 3.0) L = Length of the weir Z = Depth of water above the weir crest Stage-Storage-Discharge Relationship s Orifice equation Flow rate (Q) through an orifice d A 2 (2gh) 0.5 Where, = the coefficient discharge (~0.6) A 2 = Area of orifice g = acceleration of gravity = 32.2 ft/sec 2 h = depth of water above the center of the orifice 5 Routing Methods s Storage-Indication Routing s Modified-Puls Routing 2 2 1 1 2 1 2 ) 2 ( ) ( O t S O t S I I + ∆ =-∆ + + t O S t O S t I I ∆ + = ∆-+ ∆ + 2 2 1 1 2 1 2 1 ) 2 1 ( ) ( 2 1...
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## This note was uploaded on 11/11/2009 for the course CEIE 340 taught by Professor Choudhury during the Spring '09 term at George Mason.

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CEIE 340 Lecture 12 Reserviour Routing - Relationship s A...

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