Chapter 15, Problem 1PA

### Fundamentals of Physical Geography

2nd Edition
James Petersen
ISBN: 9781133606536

Chapter
Section

### Fundamentals of Physical Geography

2nd Edition
James Petersen
ISBN: 9781133606536
Textbook Problem

# A stream flowing out of a canyon mouth onto the apex of an alluvial fan has a discharge of 12 cubic meters per second, flow depth of 2 meters, and flow width of 3 meters. What is the flow velocity at the fan apex? If the velocity decreases downfan by 0.1 meter per second, at what distance from the apex will it reach a velocity of zero?

To determine

The flow velocity at the fan apex and distance it will reach from the apex at a velocity of zero if a stream flowing out of a canyon mouth onto the apex of an alluvial fan with a discharge of 12 cubic meters per second, flow depth of 2 meters, and flow width of 3 meters.

Explanation

Given information:

StreamÂ dischargeÂ (Q)=12ChannelÂ cross-sectionalÂ widthÂ (w)=3DepthÂ (d)=2DecreaseÂ inÂ velocityÂ =Â 0.1

The equation used to calculate stream discharge is as follows:

Stream discharge (Q) is the channel cross-sectional width (w) and depth (d) multiplied with the flow velocity (v). It is expressed as follows:

Q=wdv

Velocity(v)=StreamÂ dischargeâ€‰(Q)Width(w)Ã—Depth(d)=â€‰12

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