Explicit loss correction via interphase slip dissipation entropy production in a subsea wet-gas contra-rotating compressor

Addressing the challenges of complex loss sources and unclear droplet effects in subsea gas-liquid mixed-transport compressors, this study proposes a loss correction method based on interphase slip dissipation entropy production, applied to a contra-rotating axial compressor. Using an Eulerian-Lagrangian two-way coupled two-phase model and entropy production theory, the total internal loss is decomposed into profile, endwall, leakage, and trailing-edge components. Under wet-gas conditions, the total entropy production rate rises from 12.88 × 10 6 to 14.65 × 10 6 W/K, endwall loss remains dominant but drops from 59% to 54%, while profile loss increases from 3% to 11%, indicating that the liquid phase intensifies near-wall and boundary-layer losses. Parametric analyses identify droplet diameter and liquid content as the primary controlling factors, specifically diameter affects inertia and slip while content amplifies losses through number density, whereas sphericity and injection velocity have weaker effects. To overcome the limitation of conventional loss decomposition in capturing explicit gas-liquid interaction sources, the interphase slip dissipation entropy production is introduced as a correction term. This correction directly quantifies the irreversible entropy generation arising from velocity slip between phases, which conventional geometric decomposition fails to isolate as an explicit additional source. High dissipation regions are found at the leading edge, tip leakage, trailing wake, and inter-row interference zone, showing strong spatial and temporal non-uniformity. The principal originality lies in quantifying the irreversibility caused by droplet slip and projecting it onto the conventional profile, endwall, leakage, and trailing-edge loss regions, thereby simultaneously identifying both where liquid-induced losses occur and why they are generated. The findings offer theoretical support and engineering tools for the efficient design and performance prediction of subsea mixed-transport compressors.