Combined effects of thermal radiation and thermophoretic particle deposition in stagnation point flow over Howarth’s wavy porous circular cylinder

Many various industries and scientific fields use thermophoretic particle decomposition. Aerosols, nuclear safety, engineering, material processing, and medicinal applications are just a few of the technologies that might benefit greatly from their capacity to control particle behavior through heat gradients. There are several purposes for thermal radiation in a variety of industries, such as advanced science, food preparation, and energy production. A stagnation point flow of a nanofluid with a steady three-dimensional incompressible flow with thermal radiation, porous medium, and thermophoretic particle decomposition via a circular sinusoidal cylinder is still unexplored. This work addresses this gap by numerically analyzing the above assumptions in the presence of two distinct base liquids kerosene and water. The set of partial differential equations (PDEs) and boundary conditions (B-Cs) is simplified into ordinary differential equations (ODEs) using similarity transformations. The shooting method and Runge-Kutta-Felhberg-45 are used to solve these simplified equations and it is carried out for some nondimensional components, which characterize the flow behaviors in connection to their profiles and offer graphical representations. Furthermore, the engineering coefficients are also looked at. The major outcomes of this work are, that temperature profiles increase with an increase in the radiation parameter, velocity profiles are enhanced by increasing the value of a specific streamline parameter, and an increase in the value of the special streamline parameter leads to a drop-in concentration profile. The improved values of solid volume fraction (0.01 to 0.05), the surface drag force C f x % increases from 0.69% to 3.11% and C f y % increases from 0.75% to 3.36%.