ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 11 Engineering Applications.

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Presentation transcript:

ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 11 Engineering Applications

Structures – Location of Zero Moment (Problem 5.19) Water Resources/Environmental –Open Channel Flow

Open Channel Flow Flow of water in rivers and canals Flow rate Q (m 3 /s): –Volume of water passing a particular point in a channel per unit time

Open-Channel Flow Given: Q (Flow Rate) Calculate: H (Height) U (velocity)

Open Channel Flow Continuity Equation (Mass Conservation)

Open Channel Flow Manning Equation n=Manning roughness coefficient S=Slope of Channel R=Hydraulic Radius = A c /P

Open Channel Flow B H

Given Q,B,S,n Compute H