A more realistic approach to the solar greenhouse of Example 16.7 considers the time
Chapter 16, Problem 77(choose chapter or problem)
A more realistic approach to the solar greenhouse of Example 16.7 considers the time dependence of the solar input. A function that approximates the solar input is where t is the time in hours, with at midnight. Then the greenhouse is no longer in energy balance, but is described instead by the differential form of Equation 16.3 with Q the timevarying energy input. Use computer software or a calculator with differential-equation-solving capability to find the timedependent temperature of the greenhouse, and determine the maximum and minimum temperatures. Assume the same numbers as in Example 16.7, along with a heat capacity for the greenhouse. You can assume any reasonable value for the initial temperature, and after a few days your greenhouse temperature should settle into a steady oscillation independent of the initial value.
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