Chapt10

# 7 this is analogous to eq 910 the velocity change v

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: nduced by a surface wave is small if the wave is “weak,” y y. If we neglect bottom friction in the short distance across the wave in Fig. 10.4b, the momentum relation is a balance between the net hydrostatic pressure force and momentum 1 2 | v v or | e-Text Main Menu y)2 gb[(y g1 | y2] 1 2 y y Textbook Table of Contents cby(c y V c) cV | Study Guide (10.8) 664 Chapter 10 Open-Channel Flow ;;; Sluice gate Hydraulic jump Subcritical yc = Fig. 10.5 Flow under a sluice gate accelerates from subcritical to critical to supercritical flow and then jumps back to subcritical flow. Q2 b2g Subcritical 1/ 3 Supercritical This is analogous to Eq. (9.12). By eliminating V between Eqs. (10.7) and (10.8) we obtain the desired expression for wave propagation speed c2 gy 1 y y 1 2 1 y (10.9) y The “stronger” the wave height y, the faster the wave speed c, by analogy with Eq. (9.13). In the limit of an infinitesimal wave height y → 0, the speed becomes c2 0 gy (10.10) This is the surface-wave equivalent of fluid sound speed a, and thus th...
View Full Document

## This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.

Ask a homework question - tutors are online