Mineral carbonation offers a pathway for permanent CO₂ storage in construction materials while, in many systems, improving product performance and enabling the reuse of cementitious wastes. However, laboratory-scale carbonation efficiencies often decline during pilot- and industrial-scale implementation because conversion is governed not only by reaction chemistry but also by spatially heterogeneous transport conditions. Local velocity, CO₂ concentration, residence time, temperature, moisture, and phase distribution collectively determine the reaction environment experienced by each specimen, particle, or slurry region. This review develops a unified computational fluid dynamics (CFD) framework linking material carbonation with reactor hydrodynamics, reactive transport, model selection, validation, and scale-up. Four representative processes—accelerated carbonation curing, CO₂ injection during mixing, recycled-concrete-aggregate carbonation, and aqueous mineral carbonation—are interpreted as humid gas–porous solid, gas–liquid–solid non-Newtonian suspension, packed-bed, and gas–liquid–solid slurry systems, respectively. A Reynolds–Damköhler framework, extended through a local Damköhler number, Da(x), is proposed to characterize spatial variations in transport–reaction competition. Three coupled mechanisms are identified as essential for predictive modelling: reaction-induced CO₂ depletion, two-way moisture exchange between gas and cementitious phases, and thermal feedback on reaction kinetics and CO₂ solubility. Process-specific modelling strategies, coupling requirements, and validation criteria are then synthesized. The resulting framework enables CFD-informed reactor design, diagnosis of flow-induced non-uniformity, and more reliable scale-up by linking hydrodynamic performance to material conversion, product uniformity, energy demand, and process-level carbon efficiency.