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Derive an expression for volumetric efficiency of a single stage single acting reciprocating air compressor with clearance and discuss at least four factors that affect volumetric efficiency.
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The volumetric efficiency of a compressor is the ratio of the actual free air delivered to the displacement of the compressor. The expression for a single stage reciprocating compressor can be derived as follows-

Let,

$\eta_v = \textit{Volumetric efficiency}\\ V_s = \textit{Swept volume}\\ V_a = \textit{Actual volume}\\ V_c = \textit{Clearance …

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