?A fan is (in effect) a gas compressor which moves large volumes of air at low pressure

Chapter 7, Problem 7.37

(choose chapter or problem)

A fan is (in effect) a gas compressor which moves large volumes of air at low pressure across small (1 to 15 kPa) pressure differences. The usual design equation is:

\(\dot W= \dot n \frac {RT_{1}}{ηP_{1}} ΔP\)

where subscript 1 denotes inlet conditions and η is the efficiency with respect to isentropic operation. Develop this equation. Show also how it follows from the usual equation for compression of an ideal gas with constant heat capacities.

Text Transcription:

dot W= dot n RT_1 / ηP_1 ΔP

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