Abstract
Abstract
The present analysis explores the mass and heat transport behavior of bioconvective Boger ternary nanofluid flow via a shrinking/elongating deforming cone with a magnetic field and porous medium. Moreover, the significance of nonlinear thermal radiation, activation energy, heat sink/source, and convective boundary conditions on the fluid flow is considered to assess the mass and heat transfer attributes. The present analysis is pertinent to systems that need improved thermal management, especially in applications like cooling technologies and energy devices that include complicated fluids and spinning equipment. In contrast to traditional research, the current study concurrently takes into account nonlinear thermal radiation, convective boundary conditions, and heat sink/source, all of which have a substantial impact on thermal transport but are frequently handled independently. Similarity transformations are employed to convert the governing partial differential equations (PDEs) into ordinary differential equations (ODEs). The finite difference method (FDM) is utilized to solve the reduced ODEs numerically. The study optimizes the heat transfer rate impacted by significant factors using the response surface methodology (RSM). The central composite design is employed in a variety of industrial applications to statistically analyze and optimize the heat transfer rate. A graphic depicts how different circumstances affect the different profiles. An increase in the solvent percentage is indicative of improved velocity profiles. As radiation and heat sink/source parameters amplify, the thermal profile also rise. An upsurge in the Biot number enhances the temperature profile. As the solvent fraction parameter advances, the skin friction diminishes by about 1.96 % and 3.31 %, indicating a reduction in wall shear attributable to increased elasticity.