Control Systems Engineering
Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 12, Problem 44P
To determine

The observer canonical form of the function Gp(s) and then design an observer for it.

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A transformer that is 10 cm long, 6.2 cm wide, and 5 cm high is to be cooled by attaching a 10 cm by 6.2 cm wide polished aluminum heat sink(emissivity=.03) to its top surface. The heat sink has seven fins, which are 5 mm high, 2mm thick, and 10 cm long. A fan blows air at 25 degrees C parallel to the passages between the fins. The heat sink is to dissipate 12W of heat, and the base temp of the ehat sink is not to exceed 60 degrees C. Assuming the fins and the base plate to be nearly isothermal and the radiation heat transfer to be negligible, determine the minimum free-stream velocity the fan needs to supply to avoid overheating. Assume the flow is laminar over the entire finned surface of the transformer.
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