A dynamic in situ study of alpha-methylstyrene catalytic hydrogenation on a single catalyst pellet or in a granular bed is performed using 1H MRI and spatially resolved 1H NMR spectroscopy. Owing to reaction exothermicity, a reciprocating motion of the liquid front within the pellet accompanied by pellet temperature oscillations has been observed. Spatially resolved information on the reactant to product conversion within the catalyst bed has been obtained for a steady-state regime. Two-dimensional 27Al NMR images of alumina catalyst supports and other alumina-containing materials have been detected using moderate magnetic field gradients (80 G/cm) and a two-pulse spin-echo sequence. Temperature dependence of signal intensity and 27Al T1 time of alumina are considered as possible temperature sensors for NMR thermometry applications.