Abstract
Stretching cylinders play a crucial role in the plastic and metal extrusion processes. This current investigation is to examine the Darcy Forchheimer flow of Carboxymethyl cellulose (CMC)(CMC)<math><mrow><mo>(</mo> <mrow><mi>C</mi> <mi>M</mi> <mi>C</mi></mrow> <mo>)</mo></mrow> </math> /water-based tri-hybrid nanofluid through a stretching cylinder. A composite of ternary hybrid nanofluid containing MoS2MoS2<math><mrow><mi>M</mi> <mi>o</mi> <msub><mi>S</mi> <mn>2</mn></msub> </mrow> </math> , TiO2TiO2<math> <mrow> <msub><mrow><mi>T</mi> <mi>i</mi> <mi>O</mi></mrow> <mn>2</mn></msub> </mrow> </math> and AgAg<math><mrow><mi>A</mi> <mi>g</mi></mrow> </math> with CMC-water-based fluid has been added to the Crossflow model. The equations regulating motion and the equation for entropy generation are both formulated using cylindrical coordinates. The governing partial differential equations (PDEs) equations have been transformed into an ordinary differential equations (ODEs) system using a similar scaling operation. Afterward, the BVP4cBVP4c<math><mrow><mi>B</mi> <mi>V</mi> <mi>P</mi> <mn>4</mn> <mi>c</mi></mrow> </math> function employs the finite difference method and then implements the Lobatto IIIa formula. To fully understand how the flow behaves close to the cylinder's surface, the effects of these various factors on the number of entropy generation, Bejan number, the speed of the flow, the temperature and concentration distributions have been carefully studied. The result reveals that enhancing the values of Weissenberg number WeWe<math><mrow><mi>W</mi> <mi>e</mi></mrow> </math> and the porosity parameter declines the velocity profile. An increment in the curvature parameter ββ<math><mrow><mi>β</mi></mrow> </math> declines the velocity gradient and temperature distribution. In addition, enhancement in the radiation parameter escalates the entropy minimization and Bejan number. Furthermore, the impact of drag friction, heat, and mass are displayed in tabular form and elaborated suitably. The outcomes are authenticated with previously published literature for accuracy and authenticity.