Transversal
temperature pattern formation has been observed in
laboratory and industrial catalytic packed-bed reactors (PBRs) used
for conducting exothermic reactions. These patterns or nonuniform
states can strongly affect reactor performance and pose severe safety
issues. Recent studies show that symmetry-breaking bifurcations may
cause transversal pattern formation in a reactor operated under nonadiabatic
conditions. In this study, we show that wall temperature, which dictates
the instantaneous and overall heat exchange rate, strongly influences
the selection and dynamics of various target and rotating patterns
exhibited in a shallow nonadiabatic PBR. We demonstrate this by linear
stability analysis-guided extensive numerical simulations of a shallow
reactor model assuming periodic blocking-reactivation kinetics for
the catalytic reaction. Transversal spatiotemporal patterns predicted
in lab-scale (∼6 cm diameter) and/or bench-scale (∼60
cm) reactors, include rotating patterns, inward/outward/multi-ring
targets, quasi-stationary moving patterns, and symmetric and asymmetric
spirals. We show that wall temperature modulates the transition between
these targets and rotating transversal nonuniform states at both scales.
We argue that rich and intricate patterns observed much more in bench-scale
reactors than those in lab-scale reactors are possibly due to reduction
in the heat removal time upon increase in diameter by 10-fold. We
further classify the simulated transversal patterns into three regimes,
viz., (i) heating, (ii) heating and cooling, and (iii) cooling, based
on the nature of wall heat exchange rate dynamics dictated by the
(instantaneous) local temperature near the reactor wall. Wall heat
exchange rate dynamics being an experimental observable makes it a
signature of a nonuniform state present inside the reactor.