Question
Download Solution PDFA roots blower compresses 0.08 m3 air from 1 bar to 1.5 bar per revolution and ideal work input is found to be 3438.89 Nm, then roots efficiency is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Roots blower efficiency = Ideal work done per revolution / Actual work per revolution
Actual work input per revolution = 4V (P2 - P1)
Where V = volume compressed per cycle,
and therefore, 4V = volume compressed per revolution.
P2 and P1 are pressure after and before compression.
Calculation:
Data given, volume compressed per revolution (4V) = 0.08 m3
P1 = 1 bar = 105 Pa
P2 = 1.5 bar = 1.5 × 105 Pa
Therefore, actual work input = 0.08 × (1.5 - 1) × 105 = 4000 N-m
Ideal work input = 3438.89 N-m
Therefore, \(\eta = \frac{3489.89}{4000} = 85.9 %\)
Last updated on May 28, 2025
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