ABSTRACT Given the broad relevance of viscoelastic fluids in areas, such as polymer processing, spray coating and blood flow analysis, the second‐grade fluid model is frequently employed in academic studies to capture viscoelastic effects in thermal transport problems. In this work, we examine the second‐grade fluid confined between parallel, co‐rotating plane disks, where thermophoretic effects influence suspended particle transport within the thermal boundary layer. Response surface methodology (RSM) is applied to perform sensitivity analysis, and uncertainty quantification is carried out using LASSO regression in conjunction with Monte Carlo simulations. By utilizing the optimal homotopy analysis method (OHAM), convergent series solutions are developed for broad ranges of the embedded parameters. The sensitivity results reveal that both wall stretching and fluid elasticity exert a pronounced influence on momentum and thermal transfer between co‐revolving disks.
Sadia et al. (Fri,) studied this question.