Screw Compressors- Mathematical Modelling And Performance Calculation Jun 2026

[ \eta_v = \frac\dotV actual\dotV swept ]

: This tells us how much "work" is actually going into compressing air versus being lost to heat and friction. 100% Duty Cycle

Understanding how to model these machines mathematically is essential for engineers looking to optimize efficiency, reduce noise, and predict performance under varying conditions. 1. The Geometric Foundation: Rotor Profiling [ \eta_v = \frac\dotV actual\dotV swept ] :

Let’s break down the core logic behind screw compressor modelling. 🧵👇

: Accounts for the internal energy changes, work done by the rotors, and heat transfer between the gas, oil (in oil-injected models), and the casing. The Geometric Foundation: Rotor Profiling Let’s break down

Along the continuous line of contact between rotors.

More precisely, the male rotor volume variation for ideal profiles: $$ V(\theta) = A_s \cdot L - A_int(\theta) \cdot L $$ More precisely, the male rotor volume variation for

In addition to SCORG and GT‑SCORG, many research groups and manufacturers have developed in‑house codes for screw compressor simulation. These codes typically implement chamber‑model formulations and are tailored to specific applications such as refrigeration, natural gas compression or cryogenic service. Commercial CFD software (e.g., ANSYS Fluent, OpenFOAM, Simerics MP+®) is also widely used for three‑dimensional simulation of screw compressors, particularly when detailed flow physics must be investigated.