Page 1 Lecture 2: Kinematic overland flow routing Module 4 Page 2 Lecture 2: Kinematic overland flow routing Module 4 â€¢ For the conditions of kinematic flow, and with no appreciable backwater effect, the discharge can be described as a function of area only, for all x and t; Q= a · A m where, Q= discharge in cfs A= cross-sectional area a , m = kinematic wave routing parameters Kinematic overland flow routing â€¦â€¦â€¦..4.5 Module 4 Page 3 Lecture 2: Kinematic overland flow routing Module 4 â€¢ For the conditions of kinematic flow, and with no appreciable backwater effect, the discharge can be described as a function of area only, for all x and t; Q= a · A m where, Q= discharge in cfs A= cross-sectional area a , m = kinematic wave routing parameters Kinematic overland flow routing â€¦â€¦â€¦..4.5 Module 4 â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of Governing equations â€¦â€¦â€¦..4.6 Less than one, than the equation will represent Kinematic flow where Qo=flow under uniform condition Hence, for the kinematic flow condition, QËœQ o â€¦â€¦â€¦..4.7 Kinematic routing methods Module 4 2 1 1 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + ? ? + ? ? + ? ? - = gy qv t g v x g v v x y S Q Q o o Page 4 Lecture 2: Kinematic overland flow routing Module 4 â€¢ For the conditions of kinematic flow, and with no appreciable backwater effect, the discharge can be described as a function of area only, for all x and t; Q= a · A m where, Q= discharge in cfs A= cross-sectional area a , m = kinematic wave routing parameters Kinematic overland flow routing â€¦â€¦â€¦..4.5 Module 4 â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of Governing equations â€¦â€¦â€¦..4.6 Less than one, than the equation will represent Kinematic flow where Qo=flow under uniform condition Hence, for the kinematic flow condition, QËœQ o â€¦â€¦â€¦..4.7 Kinematic routing methods Module 4 2 1 1 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + ? ? + ? ? + ? ? - = gy qv t g v x g v v x y S Q Q o o â€¢ Woolhiser and Liggett (1967) analyzed characteristics of the rising overland flow hydrograph and found that the dynamic terms can generally be neglected if, or where, L= length of the plane Fr= Froude number y= depth at the end of the plane S 0 = slope k= dimensionless kinematic flow number â€¦â€¦â€¦..4.8 Kinematic routing methods Module 4 10 2 = = yFr L S k o 10 2 = = v Lg S k o Governing equations Contdâ€¦ Page 5 Lecture 2: Kinematic overland flow routing Module 4 â€¢ For the conditions of kinematic flow, and with no appreciable backwater effect, the discharge can be described as a function of area only, for all x and t; Q= a · A m where, Q= discharge in cfs A= cross-sectional area a , m = kinematic wave routing parameters Kinematic overland flow routing â€¦â€¦â€¦..4.5 Module 4 â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of Governing equations â€¦â€¦â€¦..4.6 Less than one, than the equation will represent Kinematic flow where Qo=flow under uniform condition Hence, for the kinematic flow condition, QËœQ o â€¦â€¦â€¦..4.7 Kinematic routing methods Module 4 2 1 1 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? + ? ? + ? ? + ? ? - = gy qv t g v x g v v x y S Q Q o o â€¢ Woolhiser and Liggett (1967) analyzed characteristics of the rising overland flow hydrograph and found that the dynamic terms can generally be neglected if, or where, L= length of the plane Fr= Froude number y= depth at the end of the plane S 0 = slope k= dimensionless kinematic flow number â€¦â€¦â€¦..4.8 Kinematic routing methods Module 4 10 2 = = yFr L S k o 10 2 = = v Lg S k o Governing equations Contdâ€¦ Q * is the dimensionless flow v/s t * (dimensionless time) for varies values of k in Eq. 8. It can be seen that for k=10, large errors in calculation of Q * result by deleting dynamic terms from the momentum Eq. for overland flow Effect of kinematic wave number k on the rising hydrograph Module 4 Kinematic routing methods Governing equations Contdâ€¦Read More

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