Effectiveness of entropy rate in rheological nanoliquid: Dual solutions

Attention here is focused to the development of dual solutions. For such objective the flow of magnetohydrodynamic (MHD) Jeffrey nanoliquid by shrinking permeable inclined cylinder is attended. Influences of radiation, Ohmic heating and heat generation are not ignored. Soret and Dufour impacts in chemically reactive flow are studied. In addition, the total entropy generation rate is investigated. Nanoliquid features through Brownian movement and thermophoresis are declared. Particular ranges of physical parameters regarding existence of dual solutions are pointed out. Quantities of interest with reference to existing of dual solutions are analyzed in detail. Novel results are summarized in key findings.