Expert-level reaction engineering covering reaction kinetics, reactor design, ideal and non-ideal reactors, catalysis, and reactor scale-up.
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Rate law: r = k times CA to power alpha times CB to power beta. Arrhenius equation: k = A times exp of negative Ea over RT. Elementary vs non-elementary: rate law derived from mechanism not stoichiometry. Conversion: X = moles reacted over moles fed. Selectivity: desired product formed over total product formed.
Batch: dX over dt = negative rA over CA0, closed system, time-dependent. CSTR: V = FA0 times X over negative rA at exit, well-mixed, steady state. PFR: dFA over dV = rA, plug flow, axial concentration gradient. Levenspiel plot: 1 over negative rA vs X, area gives reactor volume. CSTR in series: approaches PFR performance as number of CSTRs increases.
Energy balance: heat generated equals heat removed at steady state. Adiabatic temperature rise: delta T = negative delta H times CA0 times X over rho Cp. Multiple steady states: CSTR energy and mole balance can intersect multiple times. Runaway: temperature sensitivity, Damkohler number determines stability.
Langmuir-Hinshelwood: adsorption, surface reaction, desorption steps. Effectiveness factor: ratio of actual rate to rate without diffusion limitation. Thiele modulus: phi = L times sqrt k over De, large means diffusion limited. Packed bed reactor: pressure drop from Ergun equation, catalyst deactivation.
| Pitfall | Fix |
|---|---|
| Ignoring heat effects for exothermic reactions | Always include energy balance for non-isothermal design |
| External diffusion limitation in kinetic studies | Use differential reactor or high flow rate |
| Wrong residence time distribution | Characterize RTD with tracer experiment before design |
| Catalyst deactivation not accounted for | Include deactivation kinetics in design equations |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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