Fluid mechanics analysis and flow calculations for mechanical and industrial systems, grounded in core engineering principles developed through formal mechanical engineering education. The service covers pipe flow calculations including pressure drop, flow rate sizing, and hydraulic system fundamentals for industrial applications. Capable of performing energy balance calculations, continuity and Bernoulli equation applications, and basic thermal-fluid interactions for system design and validation purposes. Suitable for engineers and product teams needing reliable hand calculations or analytical validation of fluid systems without the overhead of full CFD simulation. All deliverables are presented as clear, structured engineering documentation with transparent calculation methodology so results can be verified and built upon