Screw Compressors- Mathematical Modelling And Performance Calculation 【EASY】

Screw Compressors: Mathematical Modelling and Performance Calculation Nikola Stosic, Ian K. Smith, and Ahmed Kovacevic

Most screw compressors are oil-injected. In these models, the oil isn't just a lubricant; it’s a coolant and a sealant. Heat Transfer: T ≈ constant (valid for slow compression with

Overview

• T ≈ constant (valid for slow compression with good cooling or oil-flooded machines).
• pV = constant → p2 = p1 × (V1/V2)
• Work per cycle: W = ∫ p dV = p1 V1 ln(V1/V2) = mRT ln(p2/p1) for ideal gas.

Energy (First Law):

$$ \fracdUd\theta = \dotQ - \dotW + \dotm in h in - \dotm out h out + \sum (\dotm leak h leak) $$ Energy (First Law): $$ \fracdUd\theta = \dotQ -