CIV E 445 - APPLIED HYDROLOGY
SPRING 2011
HOMEWORK 4, CHAPTER 3

Problem 4-1

The following snow-chart and hypsometric data have been measured in a certain catchment:

Elevation (%) 0 10 20 30 40 50 60 70 80 90 100
Cumulative Area (%) 0 24 32 43 58 78 90 94 96 98 100
Snow-water equivalent (mm) 3 3 4 4 4 4 5 5 5 6 6

Determine the catchment's overall snow-water equivalent.

Problem 4-2

Given the following stream gaging data, calculate the discharge.

Vertical no.1 2 3 4 5 6 7 8 9 10 11
Distance to reference point (m) 5 10 15 20 25 30 35 40 45 50 55
Sounding depth (m) 0.1 0.6 0.9 1.5 1.8 2.6 3.4 2.8 1.7 0.8 0.1
Velocity at 0.2 depth (m/s) 0.1 0.5 0.7 0.9 1.2 1.4 1.9 1.3 0.9 0.7 0.2
Velocity at 0.8 depth (m/s) 0.0 0.3 0.5 0.7 0.9 1.1 1.5 1.1 0.7 0.5 0.1

Problem 4-3

A certain tracer substance is introduced at point A of a stream at the rate of 100 L/s with a concentration of 4,000 ppm. At a downstream point B, after complete mixing, the concentration of the substance is measured at 10 ppm. Calculate the stream discharge.

Problem 4-4

Calculate the flood discharge of the Upper Paraguay River near Porto Murtinho by the online slope-area method, given the following data: upstream flow area Au = 2420 m2, upstream wetted perimeter Pu = 308 m, upstream αu = 1.1, downstream flow area Ad = 2320 m2, downstream wetted perimeter Pd = 315 m, downstream αd = 1.12, fall F = 0.095 m, reach length L = 5,530 m, and reach Manning's n = 0.024.