Abstract
Purpose The purpose of this study is to study the impacts of exponential space-dependent heat source (ESHS) and thermal radiation in Marangoni convective flow of Cross fluid. The passively controlled model is developed to exhibit the nanoparticles' concentration on the surface. Design/methodology/approach The resulting problem under consideration is tackled by using the shooting approach. Findings Temperature field augments with enhancement of the thermophoretic, exponential-based space heat source (ESHS) and radiation parameters, whereas it decays with the increase of the Marangoni ratio parameter. Originality/value To the best of the authors' knowledge, no such analysis has yet been reported.