Investigation of Slip Phenomenon of Tangent Hyperbolic Nanofluid Flow Due to a Vertical Sheet With Thermal Radiation

In this study, we have focused on examining the steady motion of a nanofluid characterized by tangent hyperbolic properties as it traverses across a vertically elongating surface. In the current analysis, we take into account the effects of the slip phenomena as well as the influence of thermal radiation. We assume that the sheet is permeable, allowing for the presence of either a suction or injection velocity. The purpose of this study is to gain insights into heat transfer and fluid dynamics, with different practical applications in engineering processes. The methodology includes mathematically modeling with partial differential equations, utilizing numerical methods for solution, and integrating nanofluid properties and boundary conditions. Based on the previously mentioned assumptions, we formulated a mathematical model in a differential form by employing boundary layer approximations. We have transformed the differential model into a dimensionless system by applying appropriate conversions. We utilized the numerical shooting technique within the Mathematica software package to solve the system of dimensionless differential equations. We have displayed the impacts of the key physical parameters that govern the mathematical model in both tabular and graphical formats. Investigating the flow of tangent hyperbolic nanofluids holds great importance as it can offer valuable insights for practical applications across engineering, nanotechnology, and thermal sciences. Notable findings from the study reveal that the velocity function showed decreased values due to higher values of the suction parameter, power law index parameter, and slip velocity parameter. The results of this research have been evaluated in the context of the previously established body of knowledge, demonstrating a significant agreement that supports the validity of the present solutions.