A wide range of industrial applications where effective heat transport, fluid dynamics, and material adaptability are vital and can be addressed by the deployment of ternary hybrid nanofluids across an extensible cylinder. This work deals with entropy optimized flow and heat transport features of partially ionized and magnetically affected Prandtl fluid loaded with three nanomaterials drifting over a convectively heated cylinder. Three distinct nanomaterials (Al2O3,CuO,TiO2) are dispersed in order to enhance the heat performance rate of functional fluid. The ion and Hall slip effects, Joule heating, non-uniform heat source, and frictional heating are among the initial hypotheses in this computational analysis. The problem is presented quantitatively by taking the Tiwari-Das model to the basic equations. The Keller-Box framework is used to solve the nonlinear equations computationally. The findings reveal that enhancement in the Hall and ion slip effects diminish a rapid growth in entropy, while an opposite trend emerges for the Brinkman and magnetic parameter. The fluid motion is depressed by magnetic field intensity. The flow field and thermal transfer rate are enhanced by uplifting Prandtl first and curvature parameters. The system's irreversibility detracts with Brinkman number. A higher curvature parameter β results an elevated shear stresses and skin friction.