This research focuses on the computational analysis and numerical investigation of BrCl ion density within an HBr-Cl$_2$ capacitively coupled plasma system. A two-dimensional fluid simulation model was developed to examine the influence of varying the HBr: Cl$_2$ gas ratio on BrCl ion formation. The simulation framework incorporates fundamental plasma fluid equations, including the continuity equation, momentum conservation equations, and energy conservation equations, along with appropriate boundary conditions. The investigation specifically explored gas composition variations ranging from 10% Cl$_2$ and 90% HBr to 90% Cl$_2$ and 10% HBr, incremented in 20% steps. The radio frequency (RF) d... More >

This study presents the application of the Artificial Neural Network Backpropagation Levenberg-Marquardt (ANN-BLMS) model for solving the nonlinear system of equations governing the flow of Casson-Williamson nanofluid under the influence of a magnetic field, Brownian motion, and thermophoresis effects. The model was trained using MATLAB's "bvp4c" solver to generate a reference dataset for various flow scenarios. Graphs having significant interest such as Nusselt Number are plotted and performance evaluation was carried out across multiple scenarios, which included variations in parameters such as Prandtl number, Weissenberg number, and Brownian motion coefficient. The results demonstrate tha... More >

The twenty-first century deals with two major problems that require speeding up technological progress alongside environmental preservation. The field of applied mathematics which used to function as a supporting tool now operates as a transformative engine which drives progress in thermal management, energy storage, nanofluidics, artificial intelligence and environmental modeling. The ICCK Journal of Applied Mathematics begins its first edition at the point where necessity and opportunity unite to enable cross-disciplinary research between theoretical models and technological implementation. More >