pset4 (1)

# pset4 (1) - Introduction to Computers and Engineering...

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1.00 Spring 2005 1/4 Problem Set 4 Introduction to Computers and Engineering Problem Solving Spring 2005 Problem Set 4: Lake Ecology Due: 12 noon, Session 16 1. Problem statement Lakes in North America and other temperate zones are often thermally stratified in summer: there is warm, less dense water near the surface and cold, denser water near the bottom, with a sharp delineation between the two layers. The upper layer is called the epilimnion; the lower layer is the hypolimnion; and the boundary between them is the thermocline. There is very little mixing between the layers, so decomposition of organic matter at the bottom of a lake can cause severe depletion of oxygen in the hypolimnion, affecting plant and animal life strongly in that layer. In the figure below, the thermocline occurs at a depth of approximately 10 to 12 meters, where the temperature decreases rapidly from about 20 ° C to 10 ° C. 0 5 10 15 20 25 0 5 10 15 20 25 30 35 Depth Temperature Thermocline Epilimnion Hypolimnion The thermocline is the point at which the absolute value of the first derivative (dT/dz) is greatest, or where the second derivative (d 2 T/dz 2 ) is zero. It is difficult to estimate the exact depth z; we will define the thermocline to be a range of z values in which there is a rapid change in temperature. In the example above, the thermocline would be at z= 10 m to z=12 m.

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1.00 Spring 2005 2/4 Problem Set 4 2. Problem objective and approach You have data on water temperature and dissolved oxygen for a set of four lakes, as shown at the end of this problem set. You must represent this data for each lake as an
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## This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.

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pset4 (1) - Introduction to Computers and Engineering...

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