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The current study examines the complex interaction between mass and thermal energy variations, considering factors including activation energy, chemical reactions, and thermal radiation across a nonlinear stretching sheet. The ternary nanofluid comprises titanium, single-walled carbon nanotubes, and multi-walled carbon nanotubes to improve the heat transfer characteristics of the fluidic system. Partial differential equations are utilized to represent the system’s dynamic behavior mathematically. Following this, similarity transformations are used to convert these governing partial differential equations into ordinary differential equations. The numerical solution for the transformed boundary value equations is derived using MATLAB. The graphical representations explain the results of these calculations, providing clear insights into the behavior of important variables in various conditions. It is concluded that an increase in the flexibility parameter improves the thermal behavior of a fluid, while an increase in the Prandtl parameter decreases it. Furthermore, applying a magnetic field to the dynamics of fluid heating enhances temperature and energy transfer.

Thermal radiations are extensively utilized in the medical sciences, and the investigation of thermal radiation combined with double diffusive phenomena is the burning research area because of its enormous applications in treatment of various diseases. Cilia play significant part in many physiological processes of animal and humans. A novel mathematical prodigy for Prandtl nanofluid with thermal radiations and double diffusion convection by implementing slip at boundaries is presented for cilia induce flow in an asymmetric microchannel. Mathematical scheme for the physiological flow is developed and then pertinent equations are designed exploiting low Reynolds number and long wavelength simplifications. Solution for the physiological nanofluid is gathered by emphasizing on the novel BVP4C technique in MATLAB and resulting outcomes are elaborated with aid of graphical illustrations. Pros and cons of various physical flow parameters like thermal slip parameters, Prandtl fluid parameters, Grashof parameter, Prandtl parameter , Brownian motion parameter, thermal radiation parameter, Brinkmann number, Soret parameter are examined on the velocity, magnetic force function, temperature profile, concentration and nanoparticles volume fraction. It is reported that slip parameter really effects the nanofluid transport within the ciliated microchannel, it reduces the fluid flow, diffusion phenomena of the nanoparticles in the ciliated microchannel surges when radiation parameter is strengthened. The reported investigation will be instrumental in heat radiation effect for regulation of blood circulation to cure the cancer tissues in multiple drug delivery systems and will pave the way for the designs of certain diagnostic and pharmacological devices.