CE 716 EROSION AND SEDIMENTATION Pierre Y. Julien, Fall 2005 Assignment #1 Chapters 1,2, and 3 due September 7, 2005 Problem # 1 (20%) 1a. Consider a 6 m high container that is 0.5m x 0.5m at the base. A cubic meter of water at 10C is added and sand is th
Problem #1 (40%)
Solve Problem 8.8 p. 193. Data from the Jamuna River in Bangladesh
from Klassen(also listed in Julien, 1992)show dunes at a discharge of
10000 m3/s. Flow depth of 11m average velocity 1.5 m/s, Slope 7
cm/km and d50=200 m . Measured dune h
Solution.
Reach
Downstream
reach
Middle reach
Upstream reach
Table 1: Characteristic of the channel
Length
Width
Bed Slope
L(km)
W
S0
Unit
Discharge
q( m2 /s)
15
W
0.001
3.72
10
20
W
1.5W
0.0005
0.00085
3.72
2.48
Assuming
d s =0.5 mm , text book Figure 7.
Problem # 1 (30 points)
Solve Exercise 7.1 p. 166. Plot tan as a function of d2/d1 and explain
the effect of the particle ratio on the criterion for incipient motion.
Solution.
Figure Angle of repose for granular material
In the case of material with inte
Problem #1:
Refer to the Rhine River and determine the following in SI units:
1. Bedform type from Liu and Albertson
2'0 =thSf =p-u.2
u. =./thSf
A
Rh = F assume rectangular channel geometry
w-d 260m-9.9m 2
Rh - u. =«/9.81m/s -9.l99m-0.0001312
=2
Problem # 1
Demonstrate that the equation of motion (Eqs. 3.11d and 3.11a) are identical.
Also reduce Equation (3.5a)to Equation(3.1a)
Solution.
Eqs.3.11a is
ax=
d vx vx
v
v
v
=
+v x x +v y x + v z x
dt
t
x
y
z
The convection terms of the acceleration Equ