Mixed convection and heat transfer in williamson fluid bounded by nonlinear curved surface with heat sink/source
A. Divya, Abdulaziz Alasiri, Muhammad Jawad, Hakim AL Garalleh
Abstract
In numerous engineering and biological systems, appreciative the flow characteristics of non-Newtonian fluids is important for cooling and heat transfer system. The present work aims to analyze the behavior of two-dimensional Williamson fluid with convective boundary induced by nonlinear stretchable curve surface. The role of chemical reaction, heat sink/source, variable thermal conductivity, suction/injection and thermal radiation is also considered. By utilizing the corresponding similarity variables, the system of governing PDEs of curve surface model is converted into to a system of nonlinear ODEs. The resultant equations are tackled numerically using MATLAB platform via bvp4c package. To check the reliability and legality of applied bvp4c code and upcoming outcomes a comparison with surviving literature has been prepared. The impact of prominent parameters on involved profiles are discussed via graphs and literature. It is concluded that both mass and thermal buoyancy forces are directly linked with concentration and temperature distribution. The outcomes expose that rising the Williamson fluid parameter leads to a notable decline (up to 28%) in the velocity field, while developed magnetic parameter contribute to further velocity suppression due to Lorentz force. Further, the surface drag force, heat and mass transfer effects are all influenced by the material fluid properties. This research holds significant importance in the areas of chemical engineering and biology where heat transfer is crucial.